Simulation of two‐phase fluid flow through compactible reservoirs

References

1. BiotM.A.1941. General theory of three‐dimensional consolidation. Journal of Applied Physics12, 155 – 164.
   [Google Scholar]
2. BiotM.A.1956. General solution of the equation of elasticity and consolidation for a porous material. Journal of Applied Mechanics23, 91 – 96.
   [Google Scholar]
3. BiotM.A. and WillisD.G.1957. The elastic coefficients of the theory of consolidation. Journal of Applied Mechanics24, 594 – 601.
   [Google Scholar]
4. BrooksR.H. and CoreyA.T.1966. Properties of porous media affecting fluid flow. Journal of the Irrigation and Drainage Division, Proceedings of the American Society of Civil Engineers92(IR2), 61 – 88.
   [Google Scholar]
5. ChengA.H.‐D.1997. Material coefficients of anisotropic poroelasticity. International Journal of Rock Mechanics and Mining Sciences34, 199 – 205.
   [Google Scholar]
6. DusseaultM.B., BrunoM.S. and BarreraJ.2001. Casing shear: causes, cases, cures. SPE Drilling & Completion, No. 6, 98 – 107.
   [Google Scholar]
7. Van GenuchtenM.T.1980. A closed‐form equation for predicting the hydraulic conductivity of unsaturated soils. Soil Science Society of America Journal44, 892 – 898.
   [Google Scholar]
8. GrechkaV. and TsvankinI.1999. 3‐D moveout velocity analysis and parameter estimation for orthorhombic media. Geophysics64, 820 – 837.
   [Google Scholar]
9. GuéguenY. and PalciauskasV.1994. Introduction to the Physics of Rocks . Princeton University Press.
   [Google Scholar]
10. HassanizadehM. and GrayW.G.1979a. General conservation equations for multiphase systems: 1, averaging procedure. Advances in Water Resources2, 131 – 144.
    [Google Scholar]
11. HassanizadehM. and GrayW.G.1979b. General conservation equations for multiphase systems: 2, mass, momenta, energy and entropy equations. Advances in Water Resources2, 191 – 203.
    [Google Scholar]
12. HassanizadehM. and GrayW.G.1980. General conservation equations for multiphase systems: 3, constitutive theory for porous media flow. Advances in Water Resources3, 25 – 40.
    [Google Scholar]
13. LewisR.W. and SchreflerB.A.1998. The Finite Element Method in the Static and Dynamic Deformation and Consolidation of Porous Media . John Wiley & Sons, Inc.
    [Google Scholar]
14. MinkoffS.E., StoneC.M., BryantS. and PeszynskaM.2004. Coupled geomechanics and flow simulation for time‐lapse seismic modelling. Geophysics69, 200 – 211.
    [Google Scholar]
15. MurnaghanF.D.1951. Finite Deformation of an Elastic Solid . John Wiley & Sons, Inc.
    [Google Scholar]
16. ParkerJ.C., LenhardR.J. and KuppusamyT.1987. A parametric model for constitutive properties governing multiphase flow in porous media. Water Resources Research23, 618 – 624.
    [Google Scholar]
17. PrioulR., BakulinA. and BakulinV.2004. Non‐linear rock physics model for estimation of 3D subsurface stress in anisotropic formations: Theory and laboratory verification. Geophysics69, 415 – 425.
    [Google Scholar]
18. RasolofosaonP.N.J.1998. Stress‐induced seismic anisotropy revisited. Revue de l'Institut Français du Pétrole53(5), 679 – 692.
    [Google Scholar]
19. SarkarD., BakulinA. and KranzR.L.2003. Anisotropic inversion of seismic data for stressed media: Theory and a physical modelling study on Berea Sandstone. Geophysics68, 690 – 704.
    [Google Scholar]
20. SchoenbergM.2002. Time‐dependent anisotropy induced by pore pressure variation in fractured rock. Journal of Seismic Exploration11, 83 – 105.
    [Google Scholar]
21. SinhaB.K. and KostekS.1996. Stress‐induced azimuthal anisotropy in borehole flexural waves. Geophysics61, 1899 – 1907.
    [Google Scholar]
22. SinorL.A., TyberoP., EideO. and WenandeB.C.1998. Rotary liner drilling for depleted reservoirs. IADC/SPE Drilling Conference, paper 39399.
23. C.Truesdell
    ThurstonR.N.1974. Waves in solids. In: Encyclopedia of Physics, Mechanics of Solids , Vol. VIa/4 (ed. C.Truesdell ), pp. 109 – 302. Springer‐Verlag, Inc.
    [Google Scholar]
24. TsvankinI.1997. Anisotropic parameters and P‐wave velocity for orthorhombic media. Geophysics62, 1292 – 1309.
    [Google Scholar]
25. VernikL. and LiuX.1997. Velocity anisotropy in shales: A petrophysical study. Geophysics62, 521 – 532.
    [Google Scholar]
26. VerruijtA.1995. Computational Geomechanics . Kluwer Academic Publishers.
    [Google Scholar]
27. WangZ.2002. Seismic anisotropy in sedimentary rocks, part 2: Laboratory data. Geophysics67, 1423 – 1440.
    [Google Scholar]
28. WinklerK.W. and LiuX.1996. Measurements of third‐order elastic constants in rocks. Journal of the Acoustical Society of America100(3), 1392 – 1398.
    [Google Scholar]
29. WinklerK.W., SinhaB.K. and PlonaT.J.1998. Effects of borehole stress concentrations of dipole anisotropy measurements. Geophysics63, 11 – 17.
    [Google Scholar]
30. ZobackM.D. and ZinkeJ.C.2002. Production‐induced normal faulting in the Valhall and Ekofisk oil fields. Pure and Applied Geophysics159, 403 – 420.
    [Google Scholar]