Numerical Modeling of Isothermal and Nonisothermal Flow in Unsaturated Fractured Rock: A Review

In recent years, considerable efforts have been made to study the feasibility of geologic disposal of high-level nuclear wastes in deep unsaturated zones in desert environments. The tuff formations at and near the Nevada Test Site, which are under consideration for this purpose, are comprised of fractured-porous material, with hydrologic properties quite different from those encountered in most previous unsaturated flow studies dealing with soils. Another difference from conventional unsaturated flow is that in the vicinity of the waste packages, flow is driven by high temperatures (exceeding 100°C) and large temperature gradients. The approximations developed in soil science for weaklynonisothermal flow are not applicable to this situation, and a multiphase description of flow is required, similar to approaches used in modeling of geothermal reservoirs and thermally enhanced oil recovery. The conventional approach to unsaturated flow is applicable, however, to a variety of problems relating to natural (undisturbed) and far-field flow conditions. This paper reviews recent work on numerical modeling of unsaturated flow undertaken in the context of nuclear waste isolation studies. Concepts and applications of broader interest are summarized, including the role of fractures in partially saturated flow, the response of a fractured medium to infiltration events, and a simplified description of flow based on an effective continuum approximation. It is pointed out that the heat released from the waste packages gives rise to multi-phase flow with heat pipe effects, which may have a dramatic impact on thermal and hydrologic conditions. A number of important issues are identified which have not been adequately explored. These include the possibility that liquid water may flow along the rough walls of fractures, the bulk of which is drained. Pre-existing or induced fracture coatings may have significant hydrologic effects. Large-scale moisture movement may be important to describe natural (nearly isothermal) hydrologic conditions as well as waste-induced gas phase convection far beyond the thermally disturbed zone. The importance of model validation and calibration with laboratory and field measurements of unsaturated flow in fractured rock is emphasized.

[1]  K. Weber,et al.  Fracture and vuggy porosity , 1981 .

[2]  T. N. Narasimhan,et al.  Physics of saturated-unsaturated subsurface flow , 1982 .

[3]  James O. Duguid,et al.  Flow in fractured porous media , 1977 .

[4]  Anders Rasmuson,et al.  An approach to modelling radionuclide migration in a medium with strongly varying velocity and block sizes along the flow path , 1984 .

[5]  Effective continuum approximation for modeling fluid and heat flow in fractured porous tuff: Nevada Nuclear Waste Storage Investigations Project , 1988 .

[6]  Myron B. Allen,et al.  Numerical modelling of multiphase flow in porous media , 1985 .

[7]  D. R. Nielsen,et al.  Water flow and solute transport processes in the unsaturated zone , 1986 .

[8]  William R. Walker,et al.  Studies of heat transfer and water migration in soils. Final report , 1981 .

[9]  L. A. Richards Capillary conduction of liquids through porous mediums , 1931 .

[10]  Don W. Green,et al.  Numerical Modeling of Unsaturated Groundwater Flow and Comparison of the Model to a Field Experiment , 1970 .

[11]  Marios Sophocleous,et al.  Analysis of water and heat flow in unsaturated‐saturated porous media , 1979 .

[12]  N. Barton,et al.  Rock joint description and modelling for prediction of near-field repository performance , 1983 .

[13]  E. G. Youngs,et al.  MOISTURE PROFILE DEVELOPMENT AND AIR COMPRESSION DURING WATER UPTAKE BY BOUNDED POROUS BODIES: 1. THEORETICAL INTRODUCTION , 1964 .

[14]  David W. Pollock,et al.  Simulation of Fluid Flow and Energy Transport Processes Associated With High‐Level Radioactive Waste Disposal in Unsaturated Alluvium , 1986 .

[15]  Karsten Pruess,et al.  TOUGH: a numerical model for nonisothermal unsaturated flow to study waste canister heating effects , 1983 .

[16]  M. P. Chornack,et al.  Stratigraphic and structural characteristics of volcanic rocks in core hole USW G-4, Yucca Mountain, Nye County, Nevada , 1984 .

[17]  Karsten Pruess,et al.  A study of thermally induced convection near a high‐level nuclear waste repository in partially saturated fractured tuff , 1987 .

[18]  Siegel,et al.  Repository site data report for unsaturated tuff, Yucca Mountain, Nevada , 1985 .

[19]  N. Bixler NORIA - a finite element computer program for analyzing water, vapor, air, and energy transport in porous media , 1985 .

[20]  P. Milly Moisture and heat transport in hysteretic, inhomogeneous porous media: A matric head‐based formulation and a numerical model , 1982 .

[21]  E. A. Klavetter,et al.  Fluid flow in a fractured rock mass , 1986 .

[22]  C. Sparrow The Fractal Geometry of Nature , 1984 .

[23]  K. Pruess,et al.  TOUGH User's Guide , 1987 .

[24]  Y. Mualem A New Model for Predicting the Hydraulic Conductivity , 1976 .

[25]  J. E. Warren,et al.  The Behavior of Naturally Fractured Reservoirs , 1963 .

[26]  Myron B. Allen,et al.  Numerical Modeling of Multiphase Flow in Porous Media , 1987 .

[27]  Preliminary evaluation of hydrologic properties of cores of unsaturated tuff, test well USW H-1, Yucca Mountain, Nevada , 1984 .

[28]  W. Thordarson Geohydrologic data and test results from well J-13, Nevada Test Site, Nye County, Nevada , 1983 .

[29]  T. N. Narasimhan,et al.  Aperture correlation of a fractal fracture , 1988 .

[30]  Well Test Analysis in Naturally Fissured, Geothermal Reservoirs with Fracture Skin , 1983 .

[31]  Stephen R. Brown,et al.  Broad bandwidth study of the topography of natural rock surfaces , 1985 .

[32]  Van Genuchten,et al.  A closed-form equation for predicting the hydraulic conductivity of unsaturated soils , 1980 .

[33]  I. J. Hall,et al.  Fracture and matrix hydrologic characteristics of tuffaceous materials from Yucca Mountain, Nye County, Nevada , 1984 .

[34]  Isaac J. Winograd,et al.  Radioactive waste storage in the arid zone , 1974 .

[35]  W. E. Wilson,et al.  Conceptual hydrologic model of flow in the unsaturated zone, Yucca Mountain, Nevada , 1984 .

[36]  Heat pipe effects in nuclear waste isolation: a review , 1985 .

[37]  Doe ENVIRONMENTAL ASSESSMENT OVERVIEW YUCCA MOUNTAIN SITE, NEVADA RESEARCH AND DEVELOPMENT AREA, NEVADA , 1986 .

[38]  R. M. Zimmerman,et al.  Expected Thermal And Hydrothermal Environments For Waste Emplacement Holes Based On G-Tunnel Heater Experiments , 1986 .

[39]  J. R. Philip,et al.  Moisture movement in porous materials under temperature gradients , 1957 .

[40]  I J Winogard,et al.  Radioactive waste disposal in thick unsaturated zones. , 1981, Science.

[41]  D. Evans,et al.  Unsaturated flow and transport through fractured rock - related to high-level waste repositories. Final report. Phase I , 1983 .

[42]  Y. Mualem,et al.  A New Model for Predicting the Hydraulic Conductivity , 1976 .

[43]  T. N. Narasimhan,et al.  Hydrologic mechanisms governing partially saturated fluid flow in fractured welded units and porous non-welded units at Yucca Mountain , 1986 .

[44]  H. E. Nuttall,et al.  Numerical Simulation of Flow and Transport in Fractured Tuff , 1983 .

[45]  P. Vaughan,et al.  Analysis of Permeability Reduction During Flow of Heated, Aqueous Fluid Through Westerly Granite , 1987 .

[46]  Benjamin Ross A conceptual model of deep unsaturated zones with negligible recharge , 1984 .

[47]  T. N. Narasimhan,et al.  Hydrologic Mechanisms Governing Fluid Flow in a Partially Saturated, Fractured, Porous Medium , 1985 .

[48]  W. Yeh Review of Parameter Identification Procedures in Groundwater Hydrology: The Inverse Problem , 1986 .

[49]  J. Braithwaite,et al.  Effect of host-rock dissolution and precipitation on permeability in a nuclear waste repository in tuff , 1984 .

[50]  D. Moore,et al.  The mechanism of permeability reduction during flow of hydrothermal fluids through Westerly Granite , 1985 .

[51]  Adsorption and capillary condensation on rough surfaces , 1978 .

[52]  Tissa H. Illangasekare,et al.  Analytical Solutions for Water Flow and Solute Transport in the Unsaturated Zone , 1995 .

[53]  S. W. Childs,et al.  Heat and mass transfer in unsaturated porous media. Final report , 1982 .

[54]  Scotter,et al.  Anion movement in a soil under pasture , 1981 .

[55]  W. Bianchi,et al.  Air in the vadose zone as it affects water movements beneath a recharge basin , 1966 .

[56]  Y. Tsang,et al.  MODELING OF STRONGLY HEAT-DRIVEN FLOW IN PARTIALLY SATURATED FRACTURED POROUS MEDIA , 1984 .

[57]  T. N. Narasimhan,et al.  A PRACTICAL METHOD FOR MODELING FLUID AND HEAT FLOW IN FRACTURED POROUS MEDIA , 1985 .

[58]  R. Eaton,et al.  Coupled Hydrothermal Flows of Liquid and Vapor in Welded Tuff: Numerical Modeling of Proposed Experiment , 1987 .

[59]  K. Beven,et al.  Macropores and water flow in soils , 1982 .

[60]  G. Eastman,et al.  The Heat Pipe , 1968 .

[61]  C. F. Tsang,et al.  Detailed validation of a liquid and heat flow code against field performance , 1985 .

[62]  R. R. van der Ploeg,et al.  A Numerical Study of the Effects of Noncapillary-Sized Pores Upon Infiltration 1 , 1979 .

[63]  J. P. Brannen,et al.  Preliminary bounds on the expected postclosure performance of the Yucca Mountain Repository Site, southern Nevada , 1987 .

[64]  Malcolm R. Davidson Numerical calculation of saturated-unsaturated infiltration in a cracked soil , 1985 .

[65]  D. E. Larson,et al.  SAGUARO: A finite-element computer program for partially saturated porous flow problems , 1983 .

[66]  R. Fournier,et al.  An equation correlating the solubility of quartz in water from 25° to 900°C at pressures up to 10,000 bars , 1982 .

[67]  N. E. Edlefsen,et al.  Thermodynamics of soil moisture , 1943 .

[68]  G. I. Barenblatt,et al.  Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata] , 1960 .