Earth Science and Engineering TO BE UPDATED FOR 2012-13 Faculty of Engineering, Department of —Earth Science and Engineering This publication refers to the session 2010–11. The information given, including that relating to the availability of courses, is current at the time of publication; 21 October 2010; and is subject to alteration. © Imperial College London 2010 For details of postgraduate opportunities go to www.imperial.ac.uk/pgprospectus. 1 2 Undergraduate syllabuses Earth Science and Engineering The principal challenge facing the world’s growing population is how to maintain sustainable access to the natural resources— water, energy and food— that are necessary for us to enjoy a quality of life. It is our duty to work towards a better quality world where we can benefit from the high standard of living that most of us take for granted. The science and engineering behind understanding and solving these problems lie at the heart of earth sciences. The Department of Earth Science and Engineering forms a part of the Royal School of Mines, where applied aspects of earth science have been taught for more than 150 years. The Higher Education Funding Council for England (HEFCE) has rated our teaching as excellent in all their most recent assessments, including in 2008 where it was stated that ‘your course is exceptional in the areas that it covers and the opportunities that it provides for your students’. The BSc and MSci degrees are mostly accredited by the Geological Society of London. The Department provides a sound training in the fundamentals of earth science and engineering. The degree courses have been updated and broadened to meet the challenges of the twenty-first Century and to emphasise environmental and sustainable concerns. How can we access in a sustainable way the natural resources that we need for a good quality of life? Geoscientists require expertise from across the spectrum of science and engineering. The Department of Earth Science and Engineering uniquely encompasses this range of disciplines and offers a truly integrated, yet flexible, course that fully equips its graduates for the global challenges ahead. The Department brings together specialists in geology, geophysics, mineral and energy resources, earth engineering, environmental science and computational modelling. Together, we prepare students for careers in environmental matters, geohazard engineering, geotechnical areas, nongovernmental organisations, or environmental protection agencies, exploration, extraction and preservation of the mineral and energy resources, and further geoscience research leading onto academic careers in research institutes, universities and museums. The Department’s exceptionally strong industrial links ensure excellent employment opportunities for our graduates. We enjoy a close relationship with the neighbouring Natural History Museum in South Kensington, where students are taught by museum staff and have access to one of the world’s finest mineral and fossil collections to conduct projects there. The Science Museum Library is on the College’s South Kensington Campus and the Geological Society, the Royal Society, the Mineralogical Society, the Institution of Materials, Minerals and Mining, the Institute of Petroleum and the Society of Petroleum Engineers are all nearby. Student membership of all these societies provides access to their facilities, including specialist libraries, and attendance at scientific meetings and social functions. London is also the headquarters of major energy companies, especially petroleum, mining, civil engineering companies and environmental bodies, and has the highest concentration of professional geoscientists in the country. The Royal School of Mines on Prince Consort Road in South Kensington houses recently renovated lecture theatres, , computer and class rooms and a range of laboratories for teaching both undergraduates and postgraduates Earth Science and Engineering 3 and for research. The Department has excellent geochemical laboratories, some shared with the Natural History Museum that include the X-ray diffraction laboratory, the scanning electron microscope, electron probe microanalysis laboratory, fluid inclusion laboratory, inductively coupled plasma and other chemical analysis and rock preparation facilities. There are laboratories for processing and interpreting geophysical data, including a seismic interpretation laboratory. Other laboratories are equipped with pilot plant and research equipment to study a wide variety of problems associated with the extraction of minerals. They integrate specialist activities in mining engineering, petroleum engineering, rock mechanics, and mineral and hydrometallurgical processing and oceanography. Specialist facilities include the geothermal rock testing laboratory, mineral processing laboratories, the Enterprise PVT laboratory, the ventilation laboratory, the analytical instrumental laboratory, and the reservoir characterisation laboratory. Research projects are carried out in cooperation with, and sponsored by, industry, research councils and other funding bodies. The Department is exceptionally well-equipped with computers, including workstations and PCs linked to the College network. Details of postgraduate opportunities can be found in the online Postgraduate Prospectus at www.imperial.ac.uk/pgprospectus. Undergraduate courses The Earth has had a long, complex and fascinating history; it provides all of our materials, and is ultimately the source of most of our material wealth. The Earth is an unusual object; it is home to several million living species, and no other object is known in the universe that maintains the delicate, long-term balance required to sustain life. Geoscience is the study of the Earth—how it was formed, how it evolves, how it works, and how we can discover, utilise, preserve and restore its resources. Studying geoscience at university will provide you with the intellectual tools necessary to address the major environmental and sustainability problems that will preoccupy humanity in the twenty-first Century. Geoscience is a unique subject area that combines the rigour and challenge of pure science with the utility and rewards of a genuinely practical subject. The course offers the excitement of fieldwork and exploration around the globe and leads on to a broad range of careers and opportunities. We will provide you with a broad and modern geoscience education, and enable you to specialise by selecting from a wide choice of pure and applied subjects. The Department offers a range of three-year BSc and four-year MSci courses, some of which include a year abroad. The courses are designed to provide tailored, but flexibly structured and coherent programmes of study which are relevant to the needs of employers, facilitate the professional development of the student and lay the foundations for a successful career to the benefit of the economy and society. Students acquire the knowledge and skills to equip them for their future geoscience and non-geoscience graduate careers through shared multidisciplinary learning that enhances critical and analytical powers, and interpersonal skills for both autonomous practice and team-working. 4 Undergraduate syllabuses You can choose your own path, within guidelines, and your final degree title will depend on the combination of courses that you select as you develop your interests and discover new avenues. The pathways lead to a number of specific named degrees: F600 BSc Geology; F631 MSci Environmental Geoscience; F640 MSci Geology; F660 MSci Geophysics; F661 MSci Geology and Geophysics; F662 BSc Geophysics; F663 MSci Petroleum Geoscience; F664 MSci Geophysics with a Year Abroad;; and F601 Geology with a Year Abroad. Our aim is to provide unequivocally the best geoscience degree in the country, and one of the best in the world, measured in terms of the quality and quantity of our applicants, and by the desirability among employers and PhD supervisors of our graduates. The structure blends the core subjects from a traditional geoscience degree, with the applied science necessary for proper understanding, and the engineering, computational, and business tools necessary to properly apply it in the wider world. Individual students can vary the balance between these topics to suit their own backgrounds and interests. Modules are offered in a wide range of subjects, and are allocated to one of five levels. Students will follow subjects for which they have interest and aptitude to high level, and may discontinue study in other areas. Many modules occupy a single term, and are taught throughout that term. Fieldwork modules are taught in single, concentrated periods often during term time. Most modules have prerequisites, and a minimum number of modules must be taken at a particular level each year. Specialised degree titles will have particular subject requirements, termed core subjects. Beyond this, students will have freedom to choose what they study, subject only to the constraints of a practical timetable. The module programme is supported by a tutorial system that operates independently in the first and second years. A majority of our applicants will not have studied geology to A-level, and previous formal knowledge of geology is not required to enter the course. Applicants taking A-levels should expect to obtain at least 340 points (AAB) in three subjects, of which at least two should normally be selected from physics, chemistry, mathematics, geology, biology, geography, or other closely related subjects. For 2011 entry we are normally asking for AAA or equivalent. Alternatively, candidates may offer two subjects at A level and two additional subjects at AS level. The two A level subjects should normally be from the list above. Candidates expecting good grades in Scottish Highers, Irish Leaving Certificate, International or European Baccalaureates, and similar qualifications, are encouraged to apply, and will be made offers at a level equivalent to that required for A-level students. All applicants must show that they are proficient in English and in mathematics. A minimum of a GCSE grade A mathematics and GCSE grade C English, or recognised equivalents, are normally required. For BSc (F662), MSci (F660) Geophysics and Geophysics with a year abroad (F664), A-level Mathematics and Physics or their recognised equivalents are required. Fieldwork Imperial College graduates have traditionally been highly sought for their fieldwork skills, and for the approach to complex problem solving with incomplete data that fieldwork training brings. Students aiming for a final degree in geology will spend at least 100 days involved in fieldwork, and considerably more if they chose to undertake a field-based Earth Science and Engineering 5 independent research project. Students on other named degrees can also undertake this level of fieldwork, but can opt for less. Fieldwork locations are continually being reviewed. At present, introductory field trips take place in Dorset and southern Spain. Intermediate level trips take place in the mountains of southern Spain, in Sardinia, and in the Scottish highlands. Advanced level trips are run to the Apennines, the Pyrenees, and to Ireland. All students will have the opportunity during the summer term of their third yearto undertake an independent field project involving several weeks of intensive fieldwork. Most geoscience graduates will remember this testing and rewarding experience for the rest of their lives. In recent years, students have worked in the Scottish and Welsh Caledonides, in the Alps, Pyrenees, Cantabrians and Beltics in mainland Europe, on the Mediterranean islands of Cyprus, Samos and Elba, in Oman, and in Australia. For a student undertaking the maximum amount of fieldwork, the approximate cost of fieldwork travelling and subsistence is about £800 in the first year, may reach £900 in the second year and falls to about £500 in the third and final years. The Department heavily subsidises the cost of fieldwork and additional grants may be available to some students. Students have to pay the difference between a daily subsistence rate and a discounted accommodation and travel cost, which varies according to the type of accommodation, the area, the country and the time of year. This brings the cost to the student in successive years down to figures in the region of £300, £400, £200, £250, should the student participate in the maximum possible amount of fieldwork. 6 Undergraduate syllabuses Course modules and options F600 F631 F640 F660 F664 F661 F662 F663 F601 Geology (BSc) Environmental Geoscience (MSci) Geology (MSci) Geophysics (MSci) Geophysics with a year abroad (MSci) Geology and Geophysics (MSci) Geophysics (BSc) Petroleum Geoscience (MSci) Geology with a Year Abroad (MSci) LEVEL 1 MODULES (FIRST YEAR) Compulsory unless the student has an A level or equivalent in the subject. compulsory optional F600 F640 F661 F631 F660 F601 F662 F663 F664 Chemistry for geoscientists Mathematics 0 Physics for geoscientists LEVEL 2 MODULES (FIRST AND SECOND YEAR) compulsory optional F600 F640 F661 F631 F660 F601 F662 F663 F664 Dynamic Earth Earth materials Field geology I Geochemistry I Internal processes Introduction to field geology Life and Earth history Mathematical methods I Mechanics Optical mineralogy and petrography Processes in geoscience Projects and tutorials I Stratigraphy and life Structural geology I Vibrations and Waves Earth Science and Engineering 7 LEVEL 3 MODULES (SECOND AND THIRD YEAR) compulsory optional F600 F640 F661 F631 F660 F601 F662 F663 F664 Applied environmental geosciences Computing skills for geologists Earth resources Field geology II Field geology III Geochemistry II Geodesy and Geomagnetism (G2) Igneous and metamorphic petrology I Introduction to remote sensing and GIS Mathematical methods II Mathematical methods III Numerical Methods Palaeontology I Python for Geoscientists Climate Global geophysics and tectonics Alternates Alternates Projects and tutorials II Sedimentary geology Structural geology II Surface processes Thermodynamics Planetary geology Alternates 8 Undergraduate syllabuses LEVEL 4 MODULES (SECOND, THIRD AND FOURTH YEAR) compulsory optional X not normally allowed F600 F640 F661 F631 F660 F601 F662 F663 F664 Applied geophysics II Alternates Biogeochemistry Computer programming Dynamic stratigraphy Earth science synopsis C exam Environmental and engineering geology I Environmental geochemistry Environmental impact assessment Field geology IV Geodesy and Geomagnetism (G2) Geohazards Earth science synthesis Heat and mass transfer Humanities or management options Hydrogeology and fluid flow I Igneous petrology II Image processing and GIS Independent environmental project X X X X X X X X Independent geology project X X X Independent geophysics project X X X X X X Metamorphic petrology II Ore deposits Earth Science and Engineering 9 Physical oceanography Seismic techniques Structural geology III Time series analysis 10 Undergraduate syllabuses LEVEL 5 MODULES (THIRD AND FOURTH YEAR) compulsory optional X not normally allowed F600 F640 F661 F631 F660 F601 F662 F663 F664 Advanced exploration seismology Advanced tectonics Applied sedimentology (Carbonates) X X Applied sedimentology (clastics) X X Basin analysis X X Basin analysis: theory and models X X Business simulation Earth science synopsis D exam X X X X X X X X Engineering rock mechanics Environmental and engineering geology II Alterna tes Exploration geoscience Field appraisal X X X X X X X Field geology V Geomorphology Geophysical inversion Alterna tes Hydrothermal and ore forming Alterna processes tes Marine geology and geophysics Mineral processing MSci project X X Geodynamics Hydrogeology and fluid flow II Palaeobiology Palaeoceanography Alterna tes Alterna tes Alterna tes Petrophysics X X X X Planetary science and X Earth Science and Engineering 11 Earth systems Production geoscience X X X X Remote sensing Research methods X X X Research seminars Seismic Rock Physics Solid waste management Syllabuses LEVEL 1 MODULES (FIRST YEAR) Chemistry for geoscientists The structure of the atom, elements, isotopes, ions, molecules, the periodic table, electronic structure; mole concept, chemical notation and equations, stoichiometry, molarity; chemical bonding: ionic, covalent, hydrogen, van der Waals; thermodynamics, enthalpy, entropy, Gibbs free energy; kinetics and equilibrium; acids and bases, pH; oxidation states, redox reactions, complex ions; introduction to organic chemistry. Mathematics 0 Basic algebra, manipulation of simple equations. Solution of simple equations. Basic functions (concept of inverses): Powers, trigonometric, exponentials, logarithms. Combining functions together (functions of functions). Simple curve plotting. Calculus: Differentiation (chain rule, product rule, quotient rule), Higher order derivatives, stationary points (maxima & minima), Integration (substitution, integration by parts). Physics for geoscientists Atomic theory of matter, gasses, liquids, solids, mass, velocity, acceleration, force, Newton’s laws, resolving forces, equilibrium, energy, work, power, gravity, motion in circle, angular momentum, moments, waves, electromagnetic radiation, Snell’s law, electric currents, magnetic fields. SI units and unit conversion. LEVEL 2 MODULES (FIRST AND SECOND YEAR) Dynamic Earth Earth as a planet; size, shape and mass of Earth. Relative and absolute age-dating of Earth. Earthquakes and seismic waves; Earth’s internal structure; Earth’s magnetic and gravity fields; palaeomagnetism. Continental and oceanic crust; continental drift; ocean floor spreading; plate tectonics. Plate geometry; plate velocities; mechanisms of plate movement; geodetic measurement of plate motion. Ocean ridges; continental rifts and basins; transform and strike-slip margins; convergent margins and subduction; mountain belts. Volcanic processes, explosive and effusive 12 Undergraduate syllabuses eruptions, formation and transport of magma. Introduction to metamorphism and deformation. Earth materials Introduction to mineralogy; hand specimen properties of minerals; characteristics of igneous, metamorphic and sedimentary rocks. Field geology I Introduction to the principles of geological maps, fieldwork, including rock and mineral identification, measurement and interpretation of geological features, and geological mapping; 14-day field course. Geochemistry I Scope and fundamentals of geochemistry; distribution of elements within the Earth and the Urey formula. Basics of inorganic chemistry and its application to fundamental geochemical processes such as precipitation, dissolution, speciation, adsorption, etc. Emphasis will be on aqueous solutions and graphical and numerical presentation of geochemical systems. Internal processes Theory: partial melting, phase diagrams, melt viscosity, classification of igneous rocks (QAPF and TAS), fractional crystallisation, plutons, dykes and sills, volcanism, trace element patterns, mantle mineralogy, mantle plumes, oceanic crust, subduction zones, contact and regional metamorphism, Barrovian zones, indicator minerals, metamorphic facies, textures and metamorphic grade. Practical: identification of igneous and metamorphic rocks (hand specimens), relationship to tectonic setting. Introduction to field geology Introduction to fieldwork, map reading and safety; three-day introductory field course with a supplementary day for non-geologists. Life and Earth history The emergence of life, diversification in the Precambrian, Ediacaran biotas, the Cambrian explosion, the Burgess Shale and fossil lagerstatte, Diversity and disparity, diversity through time (evolutionary faunas), organisms as rock-formers. Biology, functional morphology and evolutionary significance of brachiopods, graptolites, trilobites, molluscs, and echinoderms. Extinction and diversification. Mathematical methods I Vector algebra, scalar product, vector product, coordinate systems (Cartesian, polar, cylindrical, spherical). Matrix algebra: definition of matrix, matrix addition, matrix multiplication, determinants, strain matrices, inverse matrices, Gaussian elimination, linear simultaneous equations. Eigenvalue problem: characteristic polynomials; Eigenvalues and Eigenvectors; symmetric matrices; diagonalisation of a matrix; multiple Eigenvalues. Sequences and series: notation; partial sums; convergence; power series. Functions of several variables: interpretation and visualisation, partial differentiation, gradient operator. First-order ordinary differential equations: classification of differential equations, solution by separation of variables, integrating factors. Introduction to Earth Science and Engineering 13 modelling: numerical differentiation and integration, approximation, numerical solution of ODEs (forward Euler), Newton Raphson iteration. Mechanics Statics, balance of forces & torques. Gravity. Energy & momentum. Newton’s laws. Conservation laws. Angular momentum, moments of inertia. Circular motion (centripetal and coriolis forces). Simple harmonic motion. Simple linear elasticity. Basic fluid mechanics. Beyond classical, linear mechanics. Optical mineralogy and petrography The petrological microscope; description and identification of minerals and rocks in thin section. Processes in geoscience Basic heat transport, simple solid mechanics, simple fluid mechanics, introduction to rheology, introduction to thermodynamics, estimating, simplifying and approximating, dimensional analysis and non-dimensional numbers, modelling the real world with simple equations. Projects and tutorials I Support for geosciences first year teaching programme, and introduction to wider subject areas during bi-weekly tutorials with a personal tutor throughout the first year. A 3,000-word technical report on a selfselected scientific topic. Students select topic title with Personal Tutor early in autumn term; this is agreed with year coordinator. Report submitted end of week 34 in summer term. This module also includes sections on basic computing skills, learning skills and searching for information using abstract, citation and referencing systems. Stratigraphy and life The Earth as a planet; origins of Earth, atmosphere and life. Geological time (absolute and relative dating). The stratigraphic column, uniformatarianism, catastrophism, superposition, unconformities, sedimentation and condensation, stratigraphic completeness, sea-level change and its causes. The Linnaean classification of organisms, species and palaeospecies, ecology and palaeoecology, trophic structures, body fossil and trace fossil preservation, Darwinian evolution/natural selection and basic genetics. Structural geology I Introduction to structural geology. Basic theory of stress, strain and rheology of rocks; brittle failure and faulting; folding mechanisms; fabric development; stereographic projection. Vibrations and Waves Physics of waves with emphasis on the properties and behaviours encountered in geophysics. Definition of waves and revision of wave properties (frequency, angular frequency, phase velocity, phase, particle velocity, wavelength, wavenumber. Classification of different types of waves (Love, Rayleigh, transverse, longitudinal, water waves, electromagnetic). Energy of waves. Simple calculations of reflection, 14 Undergraduate syllabuses transmission and refraction including phase change on reflection; physical principles driving these behaviours (rays, wavefronts). Definitions of impedance. Superposition of waves of the same frequency, calculation of interference (Young’s slits). Fraunhoffer and Fresnel diffraction. The Doppler effect. Waves in 2 and 3 dimensions. Polarisation an anisotropy. Superposition of waves of different frequency and the analysis of their behaviour using Fourier series and Fourier transforms. Definition of Group velocity. Dispersion (normal and abnormal) and attenuation of waves. Waves in the real world. Shock waves. Resonance. Solitons. LEVEL 3 MODULES (SECOND AND THIRD YEAR) Applied environmental geoscience Overview of the anthropologically altered geosphere: pollution of the terrestrial, aquatic and atmospheric environments; legislation and sustainable development; process control, remediation and restoration; environmental impact assessment. The scientific basis: review of relevant physiochemical processes; introduction to applied microbiology including diversity, ecology and capability; experimental methods. Mineral-microbe interactions: microbially-assisted adsorption, leaching and deposition; geomicrobially-mediated mineral deposition and oil formation; mineral/microbial re-distribution of elements in the environment, e.g. cyclic sedimentation/mobilisation of iron; environmental control in constructed wetland systems; biohydrometallurgical processes, e.g. bacterial leaching of gold ores; bacterial corrosion of structures; eutrophication/purification of lakes and reservoirs, e.g. aeration and control of algal blooms. Organic-microbe interactions: degradation of organic detritus in the environment; water and wastewater treatment. Science and technology of dereliction and waste management: geotechnical/industrial considerations; restoration of brownfield land (including former mine workings); disposal of bulk wastes to landfill and aqueous discharge to drainage; utilisation of bulk wastes, e.g. sewage sludge in nutrient spreading/incineration, and incinerator ash, mineral fines/sludge and demolition waste in engineering construction and fill. Climate Present day climate, heat transfer, atmospheric circulation, greenhouse gases, oceanic circulation, ocean acidification, geological record of climate, oxygen and carbon isotopes. Long-term climate change, links with solid Earth, greenhouse/icehouse earth. Orbital-scale climatic change, Milankovitch cycles, deglaciation and millennial scale change; historic and future climate change, climate mitigation. Computing skills for geologists Numerical analysis, data manipulation and visualisation skills (using Microsoft Excel); theory of computer graphics; manipulation and production of graphics and illustrations (using Adobe Illustrator, Adobe Photoshop); internet-based tools for searching the scientific literature. Earth resources Natural resources and human needs, ore deposit, oil and coal geology, mining methods, mineral processing and metal production, renewable energy, abundant and scarce metal production, sustainable development. Earth Science and Engineering 15 Field geology II Logging and integration of sedimentary sections; interpretation of palaeoenvironments; recording and interpretation of structural features; observations and interpretation of role of fluids in crust; integration of observations to develop models for sedimentary basins. 16 Undergraduate syllabuses Field geology III Interpretation of igneous, metamorphic rocks and associated structures; production of field maps in area of some structural complexity. Geochemistry II Solid Earth geochemistry, reservoirs of the elements, major, minor and trace elements in igneous processes, melting and crystallisation, chemical differentiation of the Earth, geochemical processes at ocean ridges, subduction zones and plumes. Global geophysics and tectonics Seismology and the internal structure of the Earth, oceanic and continental lithosphere, Earth seismology, lithospheric plates and the evidence for plate tectonics, plate tectonic theory, structure of plate boundaries, mantle plumes, past and present-day plate motions. Igneous and metamorphic petrology I An introduction to metamorphic phemomena and their characterisation. Contact metamorphism: solid solutions and continuous/discontinuous reactions; regional metamorphism, isograds, index minerals, zones. PT plots and field gradients; dynamic metamorphism: deformation mechanisms, fault rocks and products; polyphase metamorphism, criteria for deducing relative chronologies of deformation/metamorphism; blueschists/ecologites conditions of formation metamorphism and geobarometers; medium-, highgrade metamorphism and anatexis; impact metamorphism; the diversity and classification of igneous rocks; phase diagrams and igneous rocks: crystal fractionation and the evolution of magmas; interpretation of the textures of igneous rocks: volcanics; mantle rocks and basalts; alkaline rocks; calc-alkaline and granitic rocks. Introduction to remote sensing and Geographical Information Systems Physical principles of remote sensing and sensor/platform technology. Principles of image interpretation. Basic image visualisation and processing techniques. Basic GIS analysis techniques. Computerised geological map composition. Mathematical methods II Complex numbers: complex arithmetic, Argand diagram, polar representation; de Moivre’s theorem, applications; ordinary differential equations (ODEs): introduction, first-order linear ODEs; method of variation of parameters; second-order linear ODEs with constant coefficients; concept of general and particular solutions. Solution of homogeneous second-order ODEs; differential equations for undamped and damped forced harmonic oscillators; solution of non-homogeneous second-order ODEs; method of undetermined coefficients; method of variation of parameters; Euler’s differential equation. Series solution of ODEs. Fourier series: Fourier coefficients; Fourier expansions; behaviour at the discontinuity; even and odd functions; change of interval; applications in summing a series. Multiple integrals: double integrals; change of coordinates; Jacobians; triple integrals; cylindrical and spherical coordinates. Line interals: dx, dy, ds line integrals, line integrals around a closed contour, path independence, Green’s theorem, gamma function, error function. Earth Science and Engineering 17 Mathematical methods III Vector algebra, vector differential calculus, line integrals, surface integrals, volume integrals, Fourier series, Fourier transforms, convolution, revision of ODEs, partical differential equations, wave equation, Laplace equation, diffusion equation, spherical harmonics. Numerical Methods Basic techniques which underlie the computational mathematical techniques in common use in the Earth sciences; overview of the capabilities and limitations of scientific computation including the concepts of error and conditioning. The course will cover techniques applicable to both observational data and simulation and will have an emphasis on the practical implementation of the methods studied in the Python programming language. Floating point arithmetic & error: Floating point numbers, radix and mantissa. Rounding error and catastrophic cancellation: Concept of error and types of error. Taylor's theorem and numerical differentiation, Taylor series and error terms. Big 'O' notation. Divided differences, centred and non-centred schemes. Numerical integration:Trapezoidal rule, Simpson's rule and quadrature. Convergence of numerical integration schemes. Root finding: Newton's method and bisection, rates of convergence for root finding algorithms and the limitations of these techniques. Solving linear systems:LU factorisation, linear independence and conditioning. Pivoting and orthogonalisation: Breakdown of LU factorisation, pivotting. Gram-Schmidt orthogonalisation and QR factorisation. Curve fitting and least squares:Polynomial interpretation and least squares curve fitting. Solving least squares problems with the QR factorisation. Numerical methods for ODEs: Explicit and implicit schemes, Euler's method and Runge-Kutta. Palaeontology I Taphonomy (mechanisms for fossil preservation); trace fossils; history of oxygenation and the rise of plants; palaeoclimatology; reefs through time; evolution and speciation; taxonomy and phylogeny; phylogenetic inference; the end-Ordovician extinction; terrestrialisation of animals and plants; the history of terrestrial vertebrates. Planetary geology Origin and evolution of the solar system; comparative planetary geology and environment; planets as heat engines; planetary remote sensing and exploration. Projects and tutorials II Support for geosciences second-year teaching programme, and introduction to relevance of geosciences to society. A technical report of 3,500 words maximum under the heading ‘GeoScience and Humanity’. Project title selected with personal tutor and agreed by year coordinator early in the autumn term. One one-hour support lecture. Submission at end of week 34. Python for Geoscientists This course will develop students algorithmic and problem solving skills, helping to prepare students for future careers in the geophysical sector. 18 Undergraduate syllabuses The course will prepare students for higher level modelling work, particularly in the undergraduate third year project and in MSci projects. Sedimentary geology Facies analysis; basic facies models; continental, coastal, shelf and deep water environments in siliciclastic and carbonate/evaporite depositional systems; linkages of environments in depositional systems; interpretation of depositional processes; collection, synthesis and interpretation of field datasets. Structural geology II Advanced structural geology. Earthquakes, continental and oceanic crust, continental drift, ocean floor spreading, plate kinematics, convergent margins and orogenesis, plate tectonics. Surface processes Weathering and erosion; Sediments and sedimentary rocks: Description of sedimentary rocks in hand specimen and thin section; Fluid flow and grain movement; Bedforms and structures due to unidirectional and oscillatory flow; rivers, deltas; turbidites. Thermodynamics Pure substance: PT-phase diagram, phase transitions, PV diagram, critical point. Equation of state: perfect gas, van der Wals, general cubic, behaviour within the phase diagram. Heat and work. Internal energy. First law of thermodynamics. Thermodynamic reversibility. Entropy, irreversible processes, second law of thermodynamics, third law of thermodynamics. Enthalpy. Thermochemistry: enthalpy of formation, enthalpy of reaction, Hess’s law. Heat capacity. Maxwell’s relationships, Gibbs free energy. Equilibrium. Gibbs free energy for chemical reactions, Clapeyron equation, Claperyon-Clausius equation, fugacity. Mixtures: phase change, vapourliquid equilibrium, Px diagrams, PT diagrams, critical region, phase rule, liquid-liquid equilibrium, liquid-solid equilibrium. Raoult’s law, Henry’s law, partial molar quantities, chemical potential, Gibbs-Duhem relationship. Ideal mixture, mixture fugacity, non-ideal mixture, activity coefficients, excess functions, ideal dilute solution, solubility of gases, solubility of solids. Chemical equilibrium, equilibrium constant, gaseous reactions, presence of solid phase, reactions in solution, temperature dependence, pressure dependence. Earth Science and Engineering 19 LEVEL 4 MODULES (SECOND, THIRD AND FOURTH YEAR) Applied geophysics II The theory, acquisition, processing, modelling and interpretation of seismic refraction, gravity, magnetic, electrical and controlled source electromagnetic data, with a focus on its application in the petroleum industry. Biogeochemistry The origin and cycling of the key biogenic elements; the role of carbon in terrestrial and marine ecosystems, the atmosphere and its interaction with the hydrosphere, biosphere and geosphere; production and preservation of organic matter; organic record of past life in sedimentary rocks. Computer programming Design and implementation of programs for scientific computing purposes; program layout, variables and data structures, functions, loops and conditional statements, input/output routines; examination and implementation of useful algorithms. Dynamic stratigraphy Understand how the sedimentary rock record is organised into stratigraphic successions; analyse and interpret basic-scale stratigraphy, and study strata-forming processes in order to reconstruct palaeo-environmental change from the rock record. Earth science synopsis C exam This module is not associated with any formal teaching. It is designed to test and encourage integration and synthesis of third year teaching across the subject. Earth science synthesis Each year a new topic is chosen for investigation. Skills in synthesising published information are developed by researching and summarising the key scientific arguments associated with a particular problem and presenting it to a departmental audience orally and as a web page. Environmental and engineering geology I Introduction to application of geology to engineering problems. Technical language applied to geological concepts and skills. Development of geological models using engineering technique. Engineering behaviour of major rock types and associated hazards. Examples of society's use of rock as a raw material, and as host for infrastructure such as transport, water supply. Environmental geochemistry This course will introduce the Earth Science student to practical skills in the laboratory and investigate quantitatively key biogeochemical processes such as adsorption, oxidation, complexation and precipitation. We will consider kinetic and equilibrium reactions. The experiments will be themed around the biogeochemical cycle of Fe and Pb, two key elements in geochemistry and environmental pollution alike. We will also use 20 Undergraduate syllabuses isotopic techniques. This course will be key for students that wish to follow a career in geochemistry and environmental science. Environmental impact assessment Industrial activities and their environmental impacts; the environmental impact assessment process; environmental impact assessment; environmental impact statement (EIS); the environment legislative requirements; the mineral extraction industry and environmental compliance; EIA methods; baseline studies; monitoring and auditing of impacts, environmental monitoring systems; the environmental unit; the design of environmental moitoring systems; biological monitoring systems; environmental modelling and management; environmental modelling; environmental management systems. Hydrogeology and hydrological modelling of waste disposal and management. Hydraulic aspects of waste containment. Landfill: design, site investigation and closure; water balance modelling, leachate and gasgeneration, sampling, monitoring. Contaminated land: pollutant migration processes; site characterisation; risk assessment; remediation technologies; clean-up targets. Field geology IV Interpretation of stratigraphic sequences, sedimentary environments, structures and mineralisation in a variety of basin settings, with emphasis on the processes of basin formation and applications to subsurface exploration. Geodesy and geomagnetism (G)2 The geoid: rotation, ellipticity and gravity; tides, precession and wobbles. Gravity: isostasy, mantle plumes, plate loading, mid ocean ages. Geomagnetic field: observations, secular variation. Origin of the geomagnetic field—the geodynamo. Palaeomagnetism: basic principles, magnetic mineralogy and instrumentation; geocentric dipole field, continental drift. Geomagnetic polarity reversals, geological record of secular variation, palaeomagnetic timescales. Geohazards The class will cover the physical processes responsible for the generation of earthquakes and volcanism and secondary hazards (landslides, tsunamis, etc.) associated with them. We will discuss the current knowledge (and missing knowledge) of the distribution of such hazards in space and time and what the critical conditions are for triggering seismic events or volcanic eruptions. This information is what is used in assessing hazard on a long-term (i.e. probabilities over decades) or short-term (alerts, identification of precursors, attempts at prediction). We will discuss how the nature of earthquakes and volcanic eruptions leads to differences in the assessment of the associated hazard. Heat and mass transfer Diffusive heat transfer; measurement of surface heat flow; data interpretation. Heat sources and sinks: radiogenic heating and release of latent heat during crystallisation of melts; shape of crustal isotherms. Transients; cooling of oceanic crust and mid-ocean ridges; contact metamorphism; intrusion of igneous bodies. Advective transfer; effect of uplift and erosion on the thermal structure of mountain belts. Natural and forced thermal convection of melt in the Earth’s mantle and aqueous fluids Earth Science and Engineering 21 in the Earth’s crust. Team-based numerical simulation case study of the thermal history of different types of subvolcanic intrusions followed by peer-reviewed final presentations. Humanities or management options Up to two modules worth of humanities or management options may be taken in years two, three and four. Assessment and content vary with the individual course. Hydrogeology and fluid flow I To have a thorough knowledge of flow in porous media with application to contaminant transport in aquifers and improved recovery from hydrocarbon reservoirs. To understand different flow processes in porous media with an emphasis on how species partition between phases and how they are transported. Igneous petrology II Metamorphism and tectonics; physical processes of metamorphism; metamorphic textures; metamorphic reactions and solid solutions; thermodynamics and kinetics of metamorphic reactions; geothermometry and barometry; geochronology; case studies of metamorphic terrains; melting and crystallisation; exsolution and melt structure; advanced phase diagrams and crystal fractionation; trace element and isotopic geochemistry of igneous rocks; volcanism; magmatism and the ocean basins; magmatism in continental settings; magmatism at convergent plate margins. Image processing and Geographical Information Systems Image processing: image processing system and operation; contrast enhancement and image algebraic operations; filtering and neighbourhood processing; RGB-IHS transformation and principle component analysis; image classification; image geometric operation, map projection and rectification. Theory and practice of geographic information systems; GIS databases; multi-dataset logical operations; statistical and fuzzy methods; spatial modelling; digital elevation model generation; threedimensional visualisation. 22 Undergraduate syllabuses Independent environmental project Geosciences is a unique scientific discipline that demands the reconstruction of complex events from incomplete data using skilled observation, rigorous deduction and creative interpretation. Your independent project is a test of your abilities in these three regards and will require you to apply in the project what you have learnt from lectures, reading, previous field courses and project work in your first and second year over the whole spectrum of geosciences. It also provides the first opportunity for you to use your own abilities with a minimum of supervision and a chance to develop and pursue specific interests within the wider geosciences. Independent geology project Independent project normally involving four to five weeks intensive fieldwork or other independent work; series of seminars on production of a geological field report. Compulsory for all geology students. The project will normally contain a significant element (~four weeks, ~160 hrs) of independent field observation. For other students, and exceptionally for any student, part or all of the field element may be replaced by appropriate laboratory, computational, geophysical or theoretical independent work. Independent geophysics project To learn the application of practical geophysical field methods and complementary techniques in a region of active tectonics in southern central Italy. Students learn to make geophysical measurements in the field, including gravity and magnetic anomalies, seismics and ground penetrating radar, and how to synthesise their results with seismotectonics and satellite imagery and data, with field observations of geomorphology, geological structures, tectonic chronology, petrology and geo-archaeology. Metamorphic petrology II Metamorphism and tectonics; physical processes of metamorphism; metamorphic textures; metamorphic reactions and solid solutions; thermodynamics and kinetics of metamorphic reactions; geothermometry and barometry; geochronology; case studies of metamorphic terrains; melting and crystallisation; exsolution and melt structure; advanced phase diagrams and crystal fractionation; trace element and isotopic geochemistry of igneous rocks; volcanism; magmatism and the ocean basins; magmatism in continental settings; magmatism at convergent plate margins. Ore deposits Description and classification of major metallic ore deposits in the Earth’s crust in terms of their geographic and temporal distribution, geological setting, physical and chemical characteristics and genesis. Ore deposit types discussed include volcanic-hosted massive sulphides (Cu-PbZn-Au), clastic and carbonate sediment-hosted deposits (Cu-Pb-Zn-Ba), iron ore deposits (banded iron formation), orthomagmatic (Cr-PGE-Ni-Cu), porphyry-related (Cu-Mo-Ag-Au) and mesothermal and epithermal gold deposits. Physical oceanography Earth Science and Engineering 23 Observed mean circulation; air-sea interaction; thermodynamics;stratification and buoyancy; temperature and salinity structures; observational methods; dynamics; Coriolis; geostrophy; momentum; viscosity; wind driven circulation; thermohaline circulation; water mass transformations; oceans role in climate; coastal processes; numerical models. Seismic techniques Seismic reflection interpretation; relationship between geology and seismic reflection data; seismic stratigraphy and its application to understanding the form and fill of sedimentary basins; three-dimensional seismic data; seismic geomorphology; horizon interpretation; fault interpretation; types of seismic wave; seismic velocity; reflection coefficients; resolution. Data acquisition: land and marine equipment; survey design; types of survey; survey parameters. Understanding raw field records, direct waves; reflections; refractions; diffractions; ghosts; multiples. Data processing: processing flow design; amplitude corrections; statics; bandpass filtering; deconvolution; velocity analysis (including CVS and semblance); NMO and stacking; migration. Structural geology III Advanced structural geology. Earthquakes, continental and oceanic crust, continental drift, ocean floor spreading, plate kinematics, convergent margins and orogenesis, plate tectonics. Time series analysis Fourier transforms–continuous and discrete, sampling theory, convolution, edge effects, filtering, the Z-transform, correlation, Wiener filtering, deconvolution, spectral analysis, two-dimensional transforms, twodimensional filtering. LEVEL 5 MODULES (THIRD AND FOURTH YEAR) Advanced applied geophysics Seismic refraction; Modelling seismic refraction data; Geophysical modelling and inversion; Borehole geophysics; Gravity and magnetic; Electromagnetic methods in the land and marine setting; Time-lapse geophysical monitoring; Model uncertainties and model assessment. Advanced exploration seismology Acquisition equipment and methodologies for 2D and 3D land and marine seismic surveys. The convolutional model. Data processing hardware, software and fundamentals; preprocessing and quality control; single and multichannel signal processing; statics, velocity analysis, and stacking; noise removal; poststack and prestack migration. Includes weekly practical sessions covering all basic processing stages for a 2D seismic dataset. Advanced tectonics Strain and strain rate in the crust; in-situ stress, crustal stress models, ductile deformation mechanisms; earthquakes, faulting, neotectonics; theory of scale models, physical analogue models, numerical models; integrated interpretation of strike-slip systems. Large scale 24 Undergraduate syllabuses tectonic interpretation including the Himalayan, Andean, Alpine and Caledonian fold-belts. Applied sedimentology (carbonates) Controls on carbonate precipitation and carbonate classification. Carbonate environments and facies models. Sequence stratigraphy in carbonate systems and porosity classification. From rock to reservoir: diagenesis and porosity modification. Applied sedimentology (clastics) Controls on sandstone reservoirs, facies analysis, basic stratigraphic methods and sequence stratigraphy. Nature & recognition of parasequences, constructing chronostratigraphic charts (exercise) & stratigraphic models. Application of sequence stratigraphy to petroleum exploration, basic exploration play types, parasequence correlation. Fluvial depositional systems and sand body types. Well log correlation. Deltaic depositional systems and sand body types. Wave- & storm-dominated coastal systems. Tidal & estuarine depositional systems. Deep water depositional systems, Deep water case studies. Basin analysis 1 Formation, fill and evolution of sedimentary basins particularly rift basins, passive margins, foreland basins and fold-thrust belts, strikeslip basins, basins affected by tectonic inversion and salt basins. Basin analysis 2 This course aims to introduce ideas of how sedimentary basins form and evolve as geodynamic entities. Basin Analysis consists of both theoretical and practical aspects of the subject and will include geodynamics, tectonics, stratigraphy, sedimentology. Basin Analysis 2 will include substantial use of seismic reflection data. The purpose of the course is to illustrate how the integration of these disciplines allows us to understand the formation, fill and evolution of sedimentary basins. Business simulation The aim of this course is to introduce students to the principles of international business, financial planning, marketing and manufacture, and to allow them to experience business competition, exercise leadership and judgement, and develop their skills in teamwork and forward planning within a realistically simulated environment. The module is run as a competitive online business game with several teams competing to capture the largest share of a growing market in personal computers. The software is high quality, the simulation is sophisticated, and the online manuals and guidance are comprehensive. Earth science synopsis D exam This module is not associated with any formal teaching. It is designed to test and encourage integration and synthesis of fourth year teaching across the subject. Earth Science and Engineering 25 Engineering rock mechanics Introduction to the behaviour of rock in engineering applications in order to gain an understanding of the use of geological principals in rock engineering. Fundamentals: In situ stress, mechanical behaviour of intact rock, geometry and behaviour of fractures. Models of rock masses and rock mass behaviour. Engineering applications: rock slopes, foundations, underground excavations, and mining and petroleum geomechanics. Environmental and engineering geology II Engineering geology exists to help mankind harnesses geological knowledge in the process of sustaining and improving our built and natural environment and in wealth creation. In response to increasing concerns over the effects of climate change, the course takes the coastal zone as its theatre from which the interaction of geology with the environment and the role of the engineering can be readily appreciated. This short course focuses on the example of coastal processes and coastal engineering. It aims to introduce the student to the principles that underpin a range of engineering geology problems affecting the coastal zone such as flood defence, erosion protection, the selection of geomaterials for construction, and landslip hazard reduction. The objectives of the course are that by its conclusion, following the field trip, the students will have acquired the technical language and tools to work with local authority coastal engineers. The course culminates in a short field trip to a coastal region to see first hand how processes develop, problems are recognised and solutions are developed and implemented. Exploration geoscience This is an exploration-based project focusing on the detailed assessment of the petroleum potential in a frontier basin. The project is carried out by teams of four to six students, using a grid of two-dimensional and/or three-dimensional seismic data collected for regional exploration, regional well data and industry-standard analogue databases. The project integrates all the formal teaching in term two, and trains students to be team players in exploration evaluation and regional hydrocarbon prospectivity analysis (new venture teams, etc.). This is a competitive exercise assessed by a panel of three external, senior geoscientists. They select the winning team, which receives the prestigious Barrel Award (an award that extends back for 31 years). Field appraisal This is a field development training exercise which illustrates the integration of disciplines required for field appraisal and reservoir characterisation. The project is carried out by teams of five to six students (two to three petroleum geoscientists, two to three petroleum engineers) using an integrated dataset (seismic, wireline logs, cores, fluid pressure measurements, well tests and petrophysical data). The project integrates all the formal teaching in term one, and trains students to be team players in multidisciplinary reservoir management groups (asset management teams, business units, etc.). Field geology V A traverse across a mountain belt to study the tectonic, stratigraphic, and metamorphic evolution of an orogenic system with an emphasis on 26 Undergraduate syllabuses tectonics and sedimentary basin development. The field trip builds on advanced modules and integrates aspects of earth science in the context of understanding geological processes at a collisional plate boundary. The field trip currently takes place in Italy with a transect from Ancona on the Adriatic coast, to Elba in the Tyrrhenian Sea. Geodynamics The aim of this course is to develop an understanding of the dynamics of the lithosphere and mantle, and to gain practice at quantitative analysis of these dynamics. Basic geophysical equations will be derived and applied to problems of lithospheric deformation, heat transfer in the lithosphere and mantle, and mantle convection flow. Specific topics will include isostasy, beam and plate models for bending and buckling of the lithosphere, geotherm, surface heat flux, plate and half-space models for cooling of the lithosphere, channel and pipe-flow, post-glacial rebound, mantle viscosity, sinking slabs, rising plumes, mantle adiabats, and plate forces. Geomorphology Advanced, integrated approach to the study, and understanding of tectonic and climatic controls on landscape evolution on Earth and Mars. Training given in techniques used for quantifying landscape morphology, and constraining rates and dates of landscape formation. Hydrogeology and fluid flow II To be expert on flow, transport and geochemical processes occurring in porous media. To have a thorough understanding of multiphase flow in a variety of geological settings. There are many circumstances when multiple fluid phases flow in porous materials. Examples include: oil, water and gas flows in hydrocarbon reservoirs; the flow of water, air and pollutants in soil and aquifers; magmatic systems; contact lenses; and a variety of biological materials. This course will describe the basic physical concepts involved in understanding such fluid flows with application to geological systems. An understanding of multiphase flow is vital to be able to design improved oil recovery schemes, contaminant clean-up and to assess nuclear waste storage. Hydrothermal and ore forming processes Hydrothermal systems are extremely important in the Earth’s crust as they regulate global heat and geochemical fluxes, provide niches for specialised organisms, and result in the formation of ore deposits. The course presents a multidisciplinary view of hydrothermal systems and shows how their evolution can be deciphered by applying a range of geological and geochemical skills. There will be a focus on magmatic-hydrothermal systems that form giant copper (molybdenum-gold) deposits and seawatercrust interactions that produce deposits of zinc, lead and barium. The course will comprise lectures. practicals and seminars. A three-day field trip to visit the fossil hydrothermal systems of the Irish orefield is planned. Geophysical Inversion Inaccurate, inconsistent and inadequate data; Matrix equations, norms; the linear problem; equi-determined systems; least-squares inversion of over- Earth Science and Engineering 27 determined systems, weighting; the under-determined problem, the nullspace, inexact data; least-squares inversion of a dipole; Wiener filters - spiking, shaping, predicting; damping and regularisation; nonlinear systems, linearised inversion; Iterative methods; quadratic minimization; steepest descent method; conjugate gradient method; conjugate gradient least-squares method; singular value decomposition (SVD); generalized inverse; the Backus-Gilbert method; maximum entropy method; seismic tomography. Marine geology and geophysics Plate motions. Triple junctions. Reconstructing past plates motions. Mapping the oceans: shipboard and satellite methods. Determining crustal structure. Thermal history of oceanic lithosphere. Flexural strength of oceanic lithosphere. Mantle plumes and ocean island chains. The plume controversy. Ocean islands. Mid-ocean ridge morphology. Magmatic processes at mid-ocean ridges. Continental rifts and the generation of a new ocean. Passive margins. 28 Undergraduate syllabuses Mineral processing The course aims to introduce mineral processing from a financial perspective, covering the processes, as well as the value added, and how this can be maximised. Introduction to risk minimisation using hedging instruments. Short introduction to comminution, gravity separation, flotation and solid-liquid separation. Introduction to pyro- and hydrometallurgical process. Aspects of waste treatment and sustainability. Mineral economics, the financial relationship between the mineral processing and metal production stages and how this can be optimised. Waste treatment and sustainability issues. Aspects of the metals markets, and the workings of the LME, bullion trading and concepts of hedging using forwards, futures and options. MSci project Students design an independent research project (to be identified in conjunction with staff supervisor). By the end of year three, a written proposal will be presented to two staff, including a detailed breakdown of aims, objectives, expected outcomes, costs and work timetable. The students will manage their own time, with regular meetings with their supervisor. Students will present a 20-minute seminar, discussing their projects in detail. (The project is not required to be completed at this stage—this is for general feedback from non-supervisory staff.) The students will submit a 7,500-word final report on the project by the end of the May in the summer term. Palaeobiology Evolutionary palaeontology from both theoretical and practical viewpoints, (including cladistics, and molecular evolution; principles of marine benthic palaeoecology, principles of palaeoceanography particularly its relevance to fossils, palaeobiogeography as applied to marine fossil groups. Specific fossil groups used as exemplars for each of the main principles. Palaeoceanography Present day oceans; coupled ocean-atmosphere system; coupled oceancontinent system; thermohaline circulation; chemical and physical properties of seawater; distribution of sediments in the ocean; marine stratigraphy; evolution of ocean basins through time; ocean circulation patterns through time; sea-level through time; ocean chemistry through time (proxy records from stable isotopes, radiogenic isotopes, nutrient proxies, temperature proxies; carbonate system proxies); case studies in paleoceanography and climate change (past, present, and future). Petrophysics The module covers the theory and practice of core analysis and open hole log interpretation. Students gain an understanding of the fundamental physics involved in various petrophysical measurements from cores and borehole logs, and are taught to conduct basic log interpretation to determine petrophysical parameters such as lithology, porosity, fluid saturation and permeability prediction. The module also provides hands-on experience in using commercial petrophysical software. Planetary science and Earth systems Earth Science and Engineering 29 Planetary and Earth systems through time examines the geochemical evidence for the origin, evolution and timing of the solar system and its constituent bodies. Systems theory explores concepts of biogeochemical cycles and their role in atmospheric composition through time, including the presence of oxygen and ozone and their relationship to life. The subcycles of biogenic elements such as carbon, nitrogen and phosphorus are investigated in detail and their function in the history and future of planetary habitability considered. Production geoscience The module outlines the basic concepts and applications in development (or production) geology, and reviews modern practices in reservoir characterisation and three-dimensional geological modelling. At the end of the module, students should understand the importance of reservoir geology and geophysics in the complete field appraisal, development and production (reservoir management) process. The module provides classroom teaching of concepts, which are then re-inforced through hands-on use in Wessex Basin fieldtrip and Field appraisal group project. Remote sensing Review of remote sensing: past, current and future sensors and satellites for remote sensing for earth science. Reflective and thermal spectral analysis for earth environment and minerals. Radar (SAR) imagery characteristics and radar interferometry. Remote sensing multi-spectral image and SAR image interpretation and map composition. Multi-source data integration, manipulation and visualisation. Advanced spatial analysis: GIS. Advanced techniques: image processing. Hyper-spectral data processing. Planetary geology using remotely sensed data. Research methods Literature surveys: finding, reading, assessing and summarising information; project planning and management; experimental design; laboratory techniques and safety; introduction to statistics and mathematical modelling; data presentation; report writing. Research seminars Students will attend the departmental weekly research seminar given by invited speakers from around the world throughout the autumn and spring terms. Seismic Rock Physics Equations of three-dimensional elastic wave propagation; relationship between elastic wavespeeds and rock microstructure: 1D elastic wave equation, the d'Alembert solution, reflection and transmission coefficients, energy flux, phase velocity, group velocity; stress and strain tensors, Hooke’s law, 3D elastodynamic equations, P and S waves; attenuation, Thomson’s anisotropy coefficients, effect of fluid saturation, Gassmann equation; effective elastic moduli of cracked and porous rocks. Solid waste management Waste management legislation and drivers for change; introduction to landfill engineering; waste management in environmentally developing 30 Undergraduate syllabuses countries; waste incineration and energy from waste; overview of treatment technologies from contaminated land; waste management in environmentally developing countries II; management of health care wastes; overview of hazardous waste management; anaerobic treatment and composting of MSW; management of nuclear waste.