Multidimensional numerical simulation of fluid flow in fractured porous media

Isothermal flow of water in a variety of fractured systems is discussed in the context of a unified, integral framework. Three commonly used conceptualizations, namely, porous systems, fractured systems, and composite porosity systems, are analyzed. The integral equations are directly replaced by discretized expressions based on an integral finite difference scheme (IFDM). Because of the manner in which the IFDM scheme chooses to handle geometric inputs, it handles the three aforesaid conceptualizations with equal facility. Six illustrative examples are provided to give an idea of the variety of fracture-related problems that are of common interest, to identify the common denominators that unify these problems and to demonstrate the power of the IFDM.

[1]  Anders Rasmuson,et al.  Chemical transport in a fissured rock: Verification of a numerical model , 1982 .

[2]  T. Narasimhan,et al.  A Purely Numerical Approach For Analyzing Fluid Flow To A Well Intercepting A Vertical Fracture , 1979 .

[3]  Chin-Fu Tsang,et al.  Analysis Of The Response Of Geothermal Reservoirs Under Injection And Production Procedures , 1977 .

[4]  Anders Rasmuson,et al.  Exact solution of a model for diffusion in particles and longitudinal dispersion in packed beds , 1980 .

[5]  C. Fairhurst,et al.  In-Situ Stress Determination At Great Depth By Means Of Hydraulic Fracturing , 1969 .

[6]  Mixed explicit-implicit iterative finite element scheme for diffusion-type problems: I. Theory , 1977 .

[7]  T. Narasimhan,et al.  AN INTEGRATED FINITE DIFFERENCE METHOD FOR ANALYZING FLUID FLOW IN POROUS MEDIA , 1976 .

[8]  A. S. Odeh,et al.  Unsteady-State Behavior of Naturally Fractured Reservoirs , 1965 .

[9]  G. M. Dusinberre Heat-Transfer calculations by finite differences , 1961 .

[10]  J. S. Y. Wang,et al.  Validity of cubic law for fluid flow in a deformable rock fracture. Technical information report No. 23 , 1979 .

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

[12]  K. Pruess,et al.  SHAFT79 user's manual , 1980 .

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

[14]  H. J. Ramey,et al.  Unsteady-State Pressure Distributions Created by a Well With a Single Horizontal Fracture, Partial Penetration, or Restricted Entry , 1974 .

[15]  R. H. MacNeal,et al.  An asymmetrical finite difference network , 1953 .

[16]  T. Narasimhan,et al.  Numerical model for saturated‐unsaturated flow in deformable porous media: 2. The algorithm , 1977 .