MINC: An Approach for Analyzing Transport in Strongly Heterogeneous Systems

  • T. N. Narasimhan
  • K. Pruess
Chapter
Part of the NATO ASI Series book series (ASIC, volume 224)

Abstract

We consider systems in which materials of low-diffusivity occur as islands in pervasive high-diffusivity materials. In these systems, global three dimensional transport occurs in the high-diffusivity materials. Transport in the low-diffusivity materials is local and one-dimensional in nature. MINC (Multiple Interacting Continua) is a method for efficiently simulating transport in such systems. The Integral Finite Difference Method (IFDM) provides a convenient way for implementing MINC. Known information on the shape and the size of the blocks can be judiciously utilized to obtain improved accuracy in estimating transport into the islands. MINC permits handling of continua at several hierarchial levels.

Keywords

Breakthrough Curve Geothermal Reservoir Proximity Function Fracture Porous Medium Double Porosity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, log in to check access.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Barenblatt, G.E., LP. Zheltov and I.N. Lochina, ‘Basic Concepts in the Theory of Homogeneous Liquids in Fissured Rock’, Jour. Appl. Math. (USSR), 24 (5), 1286–1303, 1960Google Scholar
  2. Bodvarsson, G., K. Pruess and M.J. O’Sullivan, ‘Injection and Energy Recovery in Fractured Geothermal Reservoirs’, Soc. Pet. Eng. Jour., 25 (2), 303–312, 1985Google Scholar
  3. Duguid, J.O. and P.C.Y. Lee, ‘Flow in Fractured Porous Media’, Water Resources Res., 13 (3), 558–566, 1977CrossRefGoogle Scholar
  4. Edwards, A.L., ‘TRUMP: A Computer Program for Transient and Steady State Temperature Distributions in Multidimensional Systems’ Report No. UCRL-14754, Rev. II, Lawrence Livermore Laboratory, California, 1972Google Scholar
  5. Kazemi, H., ‘Pressure Transient Analysis of Naturally Fractured Reservoirs with Uniform Fracture Distribution’, Soc. Pet. Eng. Jour., 451–462, Dec. 1969; Trans. AIME, 246 Google Scholar
  6. Lam, S., A. Hunsbedt, and P. Kruger, ‘Analysis of the Stanford Geothermal Reservoir Model Experiment using the LBL Reservoir Simulator’, Report No. SGP-TR-85, Stanford Geothermal Program, Stanford University, California, 1985Google Scholar
  7. Narasimhan, T.N. and C.W. Liu, ‘On the Possible Role of Solid Diffusion in Reactive Chemical Transport (in preparation)’,Google Scholar
  8. Narasimhan, T.N., C.W. Liu and K. Pruess, ‘Path Integration: An Approach for Analyzing Subsurface Fluid Flow’, (in preparation) Google Scholar
  9. Narasimhan, T.N., ‘Geometry Imbedded Darcy’s Law and Transient Subsurface Flow’, Water Resources Res., 21(8), 1285–1292, 1985CrossRefGoogle Scholar
  10. Narasimhan, T.N., A.L. Edwards and P.A. Witherspoon, Numerical Model for Saturated-Unsaturated Flow in Deformable Porous media, Part II: The Algorithm, Water Resources Res., 14(2), 255–261, 1978CrossRefGoogle Scholar
  11. Narasimhan, T.N. and P.A. Witherspoon, An Integrated Finite Difference Method for Analyzing Fluid Flow in Porous Media, Water Resources Res., 12(1), 57–64, 1976CrossRefGoogle Scholar
  12. Nelson, R.A., ‘Fractured Reservoirs: Turning Knowledge into Practice’, Jour. Petroleum Tech., 407–414, April, 1987Google Scholar
  13. Neretnieks, I. and A. Rasmuson, ‘An Approach to Modeling Radionuclide Migration in a Medium with Strongly Varying Velocity and Block Sizes along the Flow Path’, Water Resources Res., 20(12), 1823–1836, 1984CrossRefGoogle Scholar
  14. Odeh, A., ‘Unsteady State Behavior of Naturally Fractured Reservoirs’, Soc. Pet. Eng. Jour., 60–65, March 1965; Trans. AIME, 234 Google Scholar
  15. Pruess, K., ‘A Quantitative Model of Vapor-Dominated Geothermal Reservoirs as Heat Pipes in Fractured Porous Rocck’, Trans. Geothermal Resources Council, 9, part II, 353–361, 1985Google Scholar
  16. Pruess, K., R Celati, C. Calore and G. Cappetti, ‘On Fluid and Heat Flow in Deep Zones of Vapor-Dominated Geothermal Reservoirs’, Twelfth Annual Geothermal Workshop on Geothermal Reservoir Engineering, Stanford University, Stanford, California, 1987Google Scholar
  17. Pruess, K. and K. Karasaki, ‘Proximity Functions for Modeling Fluid Flow and Heat Flow in Reservoirs with Stochastic Fracture Distributions’, Proc. Eighth Workshop on Geothermal Reservoir Engineering, Stanford University, Palo Alto, Calif., 219–224, Dec. 1982Google Scholar
  18. Pruess, K. and T.N. Narasimhan, ‘On Fluid Reserves and the Production of Superheated Steam from Fractured Vapor-Dominated Geothermal Reservoirs’, Jour. Geophys. Res., 87 (B11), 9329–9339, 1982CrossRefGoogle Scholar
  19. Pruess, K. and T.N. Narasimhan, ‘A Practical Method for Modeling Fluid Flow and Heat Flow in Fractured Porous Media’, Soc. Pet. Eng. Jour., 13–26, Feb. 1985Google Scholar
  20. Warren, J.E. and P.J. Root, ‘The Behavior of Naturally Fractured Reservoirs’, Soc. Pet. Eng. Jour., 245–255, Sept. 1963, Trans. AJME, 228 Google Scholar
  21. Wu, Y.S. and K. Pruess, ‘A Multiple-Porosity Method for Naturally Fractured Petroleum Reservoirs’, Paper No. SPE 15129, 56th Annual California Regional Meeting, Soc. Pet. Eng. AIME, Oakland, California, 1986Google Scholar

Copyright information

© D. Reidel Publishing Company, Dordrecht, Holland 1988

Authors and Affiliations

  • T. N. Narasimhan
    • 1
  • K. Pruess
    • 1
  1. 1.Earth Sciences Division, Lawrence Berkeley LaboratoryUniversity of California BerkeleyUSA

Personalised recommendations