Form C4 Version 4.0 (2010/2011) Heriot-Watt University - Course Descriptor Template Course Code 1. Course Title G10RS 5. Course Co-ordinator 4. School Engineering and Physical Sciences 6. Delivery: Location & Semester Edin SBC Orkney Dubai IDL Sem 2 Sem……. Sem……….. Sem…….. Sem…. 7. Pre-requisites 2. SCQF Level Reservoir Simulation Collaborative Partner Baku Higher Oil School, Azerbaijan Sem 2 10 3. Credits 15 4th Year Director of Studies Approved Learning Partner Name …………………………………Sem……….. Satisfactory completion of Stage 3 courses 8. Linked Courses (specify if synoptic) 9. Excluded Courses 10. Replacement Courses Code: 11. Degrees for which this is a core course Date Of Replacement: 12. The course may be delivered to: UG only PG only UG & PG BEng Petroleum Engineering 13. Available as an Elective? Yes No 14. Aims The overall aim of this course is to: develop an understanding of the role of simulation in reservoir engineering to gain insight into the value of simulation to provide the appropriate numerical techniques to enhance hydrocarbon recovery 15. Syllabus Introduction: Description of a simulation model; Simplifications and issues that arise in going from the description of a real reservoir to a reservoir simulation model; Description or reason and circumstances simple or complex reservoir models are required to model reservoir processes; Input data is required; Typical outputs of reservoir simulations and their use in reservoir development. Basic concepts in reservoir engineering: Material balance equation for an undersaturated oil reservoir; Conditions under which the material balance equations are valid; Single and two-phase Darcy Law in one dimension (1D); Gradient and divergence operators as they apply to the generalised (2D and 3D) Darcy Law; Permeability as a tensor quantity; 2D and 3D Darcy Law with permeability as a full tensor Reservoir simulation model set-up: Simulation Input – issues to be addressed by simulation,input data required, format of data; Simulation Output - output of calculations, quality check output data to check for errors in input, post-processing analysis; Analysis of Results - identify impact of reservoir engineering principles in calculation performed, Identify numerical effects and impact of grid block size and orientation on results, erform simple upscaling calculation to address numerical diffusion. Gridding and well modelling: Concept of gridding and of spatial and temporal discretisation; types of grid in 1D, 2D and 3D used in reservoir simulation; numerical dispersion and grid orientation and the solution to these numerical problems; local grid refinement (LGR), distorted, PEBI and corner point grids; grid 1/3 Form C4 Heriot-Watt University - Course Descriptor Template Version 4.0 (2010/2011) fineness/coarseness; streamline simulation; well models and productivity index (PI); average grid block pressure and Peaceman formula; concept of multi-phase flow to calculate PIw and PIo. Flow equations: Physics of single phase compressible flow through porous media; equation for single phase compressible flow (PDE); linearization of PDE for slightly compressible flow involving the hydraulic diffusivity; extension of the single phase pressure equation to 2D; conservation + Darcy’s law in the two phase case to arrive at the two phase flow equations for compressible fluids and rock. Numerical methods in reservoir simulation: Simple finite difference expressions for derivatives, (∂P/∂x), (∂P/∂t) and (∂2P/∂x2); forward difference, the backward difference and the central difference and the order of the error associated with each; apply finite difference approximations to a simple partial differential equation (PDE); explicit and an implicit numerical scheme; implicit finite difference scheme applied to a simple linear PDE leading to a set of linear equations which are tridiagonal in 1D and pentadiagonal in 2D; structure of the pentadiagonal A-matrix in 2D for a given numbering scheme going from (i, j) notation to m-notation where m is an ordered numbering; solution strategy for the non-linear single phase 2D pressure equation where the fluid and rock compressibility are pressure dependent; discretised form of both the pressure and saturation equation for two-phase flow; IMPES solution strategy for the discretised two-phase flow equations. Permeability upscaling: Reason for upscaling; calculation ofeffective permeability in simple models by averaging; numerical upscaling of single-phase flow; effects of heterogeneity on two-phase flow; limitations of applying single-phase upscaling to a two-phase problem; steady-state, capillary-equilibrium upscaling for two-phase flow; 2-phase dynamic upscaling (the Kyte and Berry Method); upscaling around a well; upscaling from the core-scale to the scale of a geological model, taking account of fine-scale structure and capillary effects. 16. Learning Outcomes (HWU Core Skills: Employability and Professional Career Readiness) Subject Mastery Understanding, Knowledge and Cognitive Skills Scholarship, Enquiry and Research (Research-Informed Learning) On completion of the course, the student should be able to: Appreciate of the use, application and impact of reservoir simulation in reservoir engineering Understand the fundamentals of single phase compressible flow Understand the fundamentals of 2 phase flow Understand the principles of numerical flow simulation Demonstrate the concepts and techniques of upscaling and pseudoisation Describe common errors of reservoir simulation 2/3 Form C4 Version 4.0 (2010/2011) Heriot-Watt University - Course Descriptor Template Personal Abilities Industrial, Commercial & Professional Practice Autonomy, Accountability & Working with Others Communication, Numeracy & ICT After completing this module, students will be able to: Appreciate the scale and complexity of the industry. Be aware of the social responsibility in protecting the environment and personnel in oil and gas operations. Understand the role of design codes. Understand the role of empiricism and approximation in design calculations. Develop appropriate skills in problem solving. Appreciate the practical application of chemical engineering fundamentals to equipment design. 17. Assessment Methods Method 18. Re-assessment Methods Duration of Exam Weighting (%) Synoptic courses? Method (if applicable) Examination Coursework 2 hours Duration of Exam Diet(s) (if applicable) 75% 25% None – qualifying course 19. Date and Version Date of Proposal 13-8-2012 Date of Approval by School Committee Date of Implementation Version Number 3/3 1.1