SAE TECHNICAL PAPER SERIES 2002-01-2386 Flow and Distribution of Fluid Phases through Porous Plant Growth Media in Microgravity: Progress to Date Susan L. Steinberg Universities Space Research Association Nihad E. Daidzic National Center for Microgravity Research, NASA Glenn Research Center Scott Jones and Dani Or Utah State University Gerard Kluitenberg and Lakshmi Reddi Kansas State University J. Iwan D. Alexander Case Western Reserve University Markus Tuller University of Idaho Reprinted From: Proceedings of the 32nd International Conference on Environmental Systems CD-ROM (ICES2002CD) 32nd International Conference on Environmental Systems San Antonio, Texas July 15–18, 2002 400 Commonwealth Drive, Warrendale, PA 15096-0001 U.S.A. Tel: (724) 776-4841 Fax: (724) 776-5760 Web: www.sae.org The appearance of this ISSN code at the bottom of this page indicates SAE’s consent that copies of the paper may be made for personal or internal use of specific clients. 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ISSN 0148-7191 Copyright © 2002 Society of Automotive Engineers, Inc. Positions and opinions advanced in this paper are those of the author(s) and not necessarily those of SAE. The author is solely responsible for the content of the paper. A process is available by which discussions will be printed with the paper if it is published in SAE Transactions. For permission to publish this paper in full or in part, contact the SAE Publications Group. Persons wishing to submit papers to be considered for presentation or publication through SAE should send the manuscript or a 300 word abstract of a proposed manuscript to: Secretary, Engineering Meetings Board, SAE. Printed in USA 2002-01-2386 Flow and Distribution of Fluid Phases through Porous Plant Growth Media in Microgravity: Progress to Date Susan L. Steinberg Universities Space Research Association Nihad E. Daidzic National Center for Microgravity Research, NASA Glenn Research Center Scott Jones and Dani Or Utah State University Gerard Kluitenberg and Lakshmi Reddi Kansas State University J. Iwan D. Alexander Case Western Reserve University Markus Tuller University of Idaho Copyright © 2002 Society of Automotive Engineers, Inc. ABSTRACT Results from plant growth experiments utilizing particulate growth media during space flight revealed difficulties associated with providing reliable reproducible gaseous and water supply to plant roots. These limitations were attributed to insufficient understanding of liquid configuration and growth media transport processes in reduced gravity. The objective of this NASA-funded research program is to develop a framework for modeling and quantitative characterization of physical processes associated with flow of wetting and non-wetting phases in particulate plant growth media in microgravity. This paper provides an overview of research plans and current status of research activities. Magnetic Resonance Imaging (MRI) to detect and track the evolution of liquid configuration and dynamics within TM thin slices of opaque porous media (Aquafoam with mean pore size of 50 µm). Both two- and three dimensional temporal MRI imaging TM has been performed in thin Aquafoam slices positioned vertically and horizontally (to simulate the effect of gravity). The wetting front exhibited percolation-type patterns and fingering. Preliminary results show that gravity dominates liquid flow even for low Bond numbers. Although the capillary forces are very strong the small hydrostatic pressure built in the initial liquid volume determines the subsequent evolution of the wetting front. INTRODUCTION Characterization and modeling of substrate water retention and transport properties in microgravity is key to management and control of gas and liquid fluxes within plant root zones. Modeling efforts will focus on both 1) a pore network model for describing discontinuous fluid phase transport (ganglia/blobs) and 2) a statistical distribution model describing water retention and hydraulic conductivity as functions of various pore configurations. Minimizing hydrostatic forces within porous media by using thin samples on earth may provide an approximation to microgravity conditions. In our preliminary study we have used Limited understanding of the effects of reduced gravity on liquid and gaseous supply necessary for plant physiological functions hinders progress in plant research and crop production in space. Problems with controlling the plant environment have made it impossible to isolate microgravity as a variable of study (16). Over the last 10 years as much as 30 million dollars may have been spent on flight experiments with plants. Although a number of environmental factors such as light and air quality, and ventilation impact plant growth in microgravity, none have had such a limiting effect as control of water, air and nutrients in the root zone (2,16). NASA’s Advanced Life Support program currently believes that particulate solid substrates are best suited to meet short and long-term plant production needs. These needs include longevity and repeated use, repeated crops in the same substrate, eventual use of local Lunar or Martian materials, and recovery of roots for research purposes. Therefore, it is crucial that water, air and nutrient transport in small volumes of porous media be well understood. In particular, the ability to predict and tailor water and nutrient transport conditions in porous growth media under a variety of gravity conditions ranging from near weightlessness to reduced gravity environments such as the Moon or Mars is critical to the development of reliable, well characterized experimental and production facilities. To date, development of plant growth systems for microgravity have typically been driven by mass, volume and power constraints and the need to recycle water, nutrients, and growth media (1,4). Due to these constraints suggested criteria of success for plant production in a Controlled Environment Life Support System (CELSS) include the maximization of yield per mole photon (power), unit area or volume. Mass and volume constraints will minimize space allotted to root modules which will likely result in high root densities. Thus, the need to control supply of water, oxygen and nutrients to the root is crucial. However, ground and flight research has been focused on hardware development for plant growth in microgravity that meets mass, volume and power constraints, while neglecting fundamental processes occurring in the growth media. On earth, for example, small containers such as root modules commonly suffer from inadequate total water and mineral supply, excess water content, and poor aeration due to perched water table at the bottom (41). Technologies related to irrigation management for containerized production in the greenhouse or nursery th industry developed during most of the 20 century. Much of their success can be attributed to the development and characterization of potting media for shallow root zones commonly found in the greenhouse and nursery industry including soiless mixes, sponges, and foams ((5,6,7,18,19,20,41) and many others). By contrast, irrigation management technologies for microgravity are still young with limited collective time on orbit. Particularly little attention has been paid to identifying optimal substrates for microgravity, assessing what problems might occur in small volumes of porous media under microgravity, and (most importantly) how they can be avoided. In microgravity, surface tension/capillary forces, lack of buoyancy driven convection, and changes in pore geometry due to particle separation and vehicle vibrations will likely govern fluid behavior through porous media. The general lack of understanding flow and transport through porous media in microgravity was documented at a recent workshop on microgravity soil physics (42) and is the focus of our recently funded NASA NRA. HISTORICAL BACKGROUND Early researchers utilized porous media systems consisting of small, pre-moistened aliquots of vermiculite or soil, filter paper or agar to supply water, nutrients and oxygen to plant roots for periods ranging from a few hours to several days in microgravity (see review in (45)). Solidified agar nutrient medium (21) and Horticultural foam (29) have been used on shuttle flights to support plant growth for as long as 8-12 days. Particulate substrates have been used to support wheat production ranging from a multi-day shuttle flight (35) to full life cycle production (3) on MIR. Problems with water and air control in the root zone have been inferred from soil and plant measurements (3,35,36,37). Despite nearly 20 years of plant research in microgravity, only very recently has any attempt been made to understand physical issues associated with water and air transport in a porous medium in microgravity. Ivanova & Dandolov (24), Shah et al. (40), Podolsky & Mashinsky (34), Morrow et al. (31), and Yendler et al. (46) all measured and described various aspects of water transport through porous substrate in microgravity. Repetitions in these experiments have yielded inconsistent results, the cause of which could be attributed to any number of things, such as unknown or uncontrolled initial and boundary conditions, air entrapment, particle separation, etc. The work by Podolsky & Mashinsky (34) and Jones and Or (25,26,27) also represent the first attempts to put transport of water and air through porous media in microgravity on a sound theoretical basis. In addition, Jones & Or (25) used physically based models to optimize particle size distribution for aeration and water retention. Figure 1 illustrates this optimization concept considering the tradeoff between maximizing the inversely related processes of supplying water and oxygen to plant roots. Additional factors such as porous media depth and root/microbial respiration rates dictate the critical water content where oxygen concentration limits plant growth. Scovazzo et al. (39) recently modeled and defined design criterion for two-phase flow of air and water in a membrane/solid media system. Steinberg & Henninger (43) evaluated the dynamics of water transport through the entire membrane/solid media/plant system. n ∂S ∂t [ = ∂θ ∂t [ ] = −∇ ⋅ K (θ )∇ψ + ] ∇ ⋅ D (θ )∇θ + ∂K (θ ) ∂z ∂K (θ ) ∂z = (1) . Here θ=nS is the volumetric moisture content (with n being the uniform porosity, S≤1 the saturation), K(θ) is the unsaturated hydraulic conductivity (scalar for isotropic medium), D(θ) is the moisture diffusivity, ψ is the matric potential, and z is the vertical elevation. Figure 1. Illustration of physical processes of liquid and gas content and flux critical for optimal plant growth conditions (25). Jones & Or (27) analysis of water transport through porous media in microgravity focused on data from two flight tests (3,31). Unfortunately, current understanding of the nature of water and air transport under microgravity conditions is not sufficiently well developed to allow unambiguous interpretation of microgravity experiment results. For example, published studies of water flow in plant growth media in microgravity give no description of details such as media packing procedure or post-packing bulk density (3,24,31,34,46). The effect of g-forces and vibration during launch on media compaction, water holding and aeration properties have never been documented. Water transport through porous media seems to behave differently depending on whether substrate is launched wet or dry (see analysis of (3) and (31) in (27)). Another area of concern is possible constraint of the air phase, which can cause fingering of the liquid flows (17). In order to contain particulate media in microgravity root modules are covered with plastic lids. The small openings in the lids for plants contain foam or wick material. Air exchange between the root module and cabin air has not been adequately addressed. These information gaps make it impossible to conclusively determine whether the culturing technique or microgravity significantly affects water and air transport in microgravity. LIMITATIONS IN CURRENT UNDERSTANDING OF WATER FLOW THROUGH POROUS MEDIA The simplest and most widely applied mechanistic approach is Richards equation (22) which is based on a diffusive-like motion of the liquid phase into a porous medium. There are several reasons why this model may be inadequate for describing water transport through small volumes of media in microgravity. Jones & Or (27) eliminated the gravity term (∂K(θ)/∂z) from Equation (1), to simulate microgravity, and obtained accentuated hysteresis, reduced hydraulic conductivity and an altered soil-water characteristic curve. They hypothesize that differences between terrestrial and microgravity behavior may be attributed to mechanisms such as enhanced interfacial flow, particle rearrangement (24,28,30), and air entrapment (28). While weightless conditions can apparently be simulated simply by neglecting the gravity term in Equation (1), it is not clear whether experimental quasi-steady state measurements of the hydraulic conductivity under 1g conditions implicitly reflect the influence of gravity on transport and, thus, are unsuitable for simulating zero-g behavior. Secondly, the lack of consideration of adsorptive forces and liquid films have been identified as a major deficiency in current theories of transport and flow in porous media (12,32). Given the absence of a hydrostatic pressure gradient under weightless conditions, it is important that the role of liquid films and absorption are properly accounted for. Recent developments (33,44), involve using an Augmented Young-Laplace (AYL) equation to calculate equilibrium liquid configurations in partially saturated porous media and provide a basis for the incorporation of adsorptive and capillary contributions to the matric potential and hydraulic conductivity. Lastly, an implicit assumption in Equation (1) is that both water and air exist as interconnected phases throughout the porous medium. While this assumption is valid for field scale terrestrial applications, it may not be valid for the small root zone volumes used in space flight. An important aspect of flow in porous media is the possibility that the liquid, as well as the gas phase, becomes discontinuous and forms ganglia (isolated blobs). The motion of ganglia under microgravity conditions may, along with the previously mentioned pore-scale processes, strongly affect the nature of the transport conditions. In porous media containing water and air, the moisture content distribution is often controlled by the nature of air entrapment, which itself depends on the pore structure of the media and the water infiltration mode. These processes are poorly understood even under 1g conditions. In the absence of gravity, the capillary forces can dominate the discontinuous phase entrapment and the absence of natural convection will prevent or inhibit the "upward" migration of air pockets. Particle separation and the associated pore architecture will generally result in different local liquid configurations under microgravity conditions compared to 1g conditions (27). RESEARCH OBJECTIVES Our primary objective is to acquire a fundamental understanding of fluid flow and distribution through porous media under 1g and simulated microgravity conditions. This will be accomplished by the following synergistic combination of ground-based experiments and theoretical modeling aimed at examining water retention, matric potential and unsaturated hydraulic conductivity: (1). Characterization of dry and wet media pore space including the effects of packing and launch vibrations. Subjecting the porous media to shaking table vibrations will simulate launch and on-orbit vehicle vibrations. The fluid phase distributions will be observed under a range of test conditions using a macro-lens equipped video camera or a CCD camera connected to a digital image analysis system. (2). Characterization of fluid flow and distribution during infiltration (wet up) and steady flow at the micro (one or several pores) and sample (many pores) scale, using microgravity simulators such as manipulation of media depth and pore size, or neutral buoyancy fluid pairs. Studies on the scale of several pores (microscale) will focus on the formation and evolution of liquid films, and the effect of changes in pore throat sizes on mobilization, break-up and coalescence process of individual ganglion. Sample scale measurements will include characterization of liquid retention and diffusivity, evaluating the effect of gravity on liquid configuration in different pore sized media during KC135 flight, and examination of unsteady phenomena such as fingering. Figure 2 shows a wetting front and air entrapment in an experimental Hele-Shaw cell filled with Barium Titanate beads (9,15). The repacking and renormalization of the beads is also clearly visible. The wetting front does not always move smoothly or continuously and can proceed in a series of discontinuous jumps. The effect of capillary fingering could be the enclosure and entrapment of air “pockets” or ganglia by the wetting phase (water), or the formation of locally immobile pockets of liquid. Figure 2. Particle redistribution, wetting front and air entrapment in loosely packed 50-micrometer glass beads in a Hele-Shaw (2D) cell. The front moves from right to left. A packing discontinuity is visible at the front and entrapped air can be seen behind the front. Concurrent to the investigations outlined above, an additional experimental program is in progress to determine the pore-scale distribution of water and air phases in discontinuous ganglia form. Surrogate immiscible fluids such as water and Hexadecane will be used to simulate the behavior of water and air phases under microgravity conditions (Figure 3). The fluid phase distributions on the sample scale will be used to validate a mathematical model and in an upscaling approach to determine moisture-retention characteristics. Figure 3. Representative picture of ganglia (purple) obtained by the solidification of Hexadecane, a non-aqueous phase liquid surrogate for air medium. (3). Development of both a) a pore network model for describing discontinuous fluid phase (ganglia/blobs) transport and b) a model of pore scale hydraulic functions for saturated and unsaturated hydraulic conductivity based on equilibrium liquid configurations. Reddi et al. (38) documented a number of analytical solutions possible for predicting the spatial distribution of discontinuous ganglia. Such solutions can be used to obtain the ganglia distribution in the root module. A recently developed AYL-based framework for calculating equilibrium liquid configurations in partially saturated porous media (33,44) will be modified and adjusted to provide pore-scale expressions for liquid retention under microgravity conditions for various idealized pore geometries. (4). Upscaling techniques to integrate microscale flow and transport properties with macroscopic behavior to provide a quantitative link between these two processes on scales relevant to the plant root and bulk media. This will expand upon an existing statistical distribution model describing water retention and hydraulic conductivity as functions of various pore configurations (33), as well as the incorporation of ganglia distributions. The fluid phase distributions observed in the experimental program will be used to validate the mathematical model(s) and in an upscaling approach to determine moisture-retention characteristics. (5). Identification, development and implementation of measurements and methods necessary to validate model(s) in ground based tests. We will focus on measurements made at the root module scale using methods compatible with space flight. Thermal methods have been used on previous space flights to monitor the water content of plant growth media (3). We anticipate concentrating on thermal measurement methods, while considering any new developments in sensor technology. The strengths and weaknesses of various thermal sensors will be evaluated by measuring the thermal properties of substrates as a function of water content, as well as by the theoretical examination of the effect of microgravity on thermal methods of water content measurement. PRELIMINARY RESULTS An important component of our research plan is the use of Nuclear Magnetic Resonance Imaging (MRI) (11,13,14,15,23) for spatial and temporal imaging of 2-D and 3-D fingering, ganglia development, wetting front dynamics, saturation and velocity fields. MRI will also allow us to evaluate air containment, effective measurement scales of sensors and identify appropriate scales for upscaling. The advantages of MRI) include (a) non-invasiveness, (b) lack of directional preference, (c) ability to simultaneously measure many parameters, and (d) not being adversely affected by optical opaqueness. MRI is especially well suited for transport phenomena studies because it measures statistical averages of various parameters over a range of spatial and temporal scales that can readily be compared to averaged transport theories. MRI ANALYSIS Magnetic Resonance imaging experiments were performed in the New Mexico Resonance facility on TM Aquafoam-Oasis (mean pore size of 50 µm) using a 30 cm, 1.9T Oxford super-conducting magnet with a TECMAG Libra spectrometer (Tecmag, Inc., Houston, TX). Two different imaging strategies were employed depending on whether the water in the foam sample was static or moving. Wet foam samples with stationary water distributions were imaged with the standard Fourier imaging method (8). Two and three-dimensional images were obtained with a resolution of 0.5 mm in each direction. This method acquires data from all parts of region of interest in the time domain. The data is then Fourier transformed, where each frequency corresponds to a different location in space. Because the Fourier imaging method collects data from the full region of interest at each scan, artifacts can arise in the image if the water distribution in the sample changes during a scan. Therefore, time-resolved imaging to study water uptake in the foam was done by line-scan imaging technique (10). Unlike Fourier imaging, line scan techniques spatially scan the sample space, more in analogy with most other imaging techniques. The line scan technique takes a line (1D) image of a thin slice, then shifts to a new position and takes another 1D image. Thus, a 2D image can be generated by sequentially sweeping the line over the object. The line was swept over 32 positions to make a 256x32 image every 1.8 s. The image was interpolated to give equal resolution in each direction. The third dimension can be resolved, but was not obtained in this study. In Figure 4, we show a two dimensional MRI image of a TM horizontal Aquafoam-Oasis section. The wetting front spreads radially from the center suggesting that the sample is isotropic (9,15). Note that the wetting front is locally irregular. Figure 5 shows the spreading of a liquid front in a horizontal thin section. The front shows local irregularities and larger scale fingers (9). TM A 2D MRI image of a horizontal Aquafoam-Oasis is presented in Figure 6. Here the contours depict the temporal evolution of the wetting front in the horizontal test section. The front propagation velocity and the saturation levels can be calculated from these images. To illustrate the effect of gravity Figure 7 shows an MRI TM image of a vertical Aquafoam-Oasis section. The contours depict the evolution of the wetting front. The liquid spreads as if it is filling an empty container. Liquid introduced at a single point at the top of the sample streams downward in a relatively thin column and spreads outward and upward from the base. This shows that, although capillary forces are strong, gravity dominates the evolution of the wetting front (9,15). Figure 6. Evolution of a wetting front in a horizontal test section. Contours show successive positions of the front. Note the local irregularities in the front as it percolates through the sample (9,15). Figure 4. Radial spreading of a wetting front from the center of a horizontal thin sample (9). These results showed that the medium is isotropic. Figure 7. Vertical infiltration of a foam sample. Contours represent successive positions of the wetting front (isochrones). The liquid spreads as if it is filling an empty container (9,15). The needle location is only significant during the initial stages. Figure 5. Spreading of a liquid front in a horizontal section. The irregularity (fingering) of the wetting front is real and not an aperture error (9). CONCLUSION Developers of plant growth systems for space flight have faced serious challenges that include mass, volume, and power constraints; water containment; and water/air phase separation. Because of the small size of root modules the ability to manage the root zone environment will be critical for the success of plant growth systems. It is unlikely that further significant progress can be made in design of root modules or control of water delivery without increased knowledge of fundamental mechanisms and processes related to water and air movement through plant growth media in microgravity. Improvements in understanding the motion and disposition of liquids in unsaturated porous media under microgravity conditions are essential for the successful control of water and air delivery to plant roots in microgravity plant production systems. REFERENCES 1. Averner, M. M. 1989. 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Steinberg is a staff scientist with Universities Space Research Association working as a principal investigator in the Advanced Life Support Program at Johnson Space Center/NASA in Houston, TX. She can be reached at: USRA,Mail Code EC3,2101 NASA Road 1,JSC/NASA, Houston, TX 77546. Tel: 281-483-8161. Fax: 281-4832508. Email:ssteinbe@ems.jsc.nasa.gov