1887
  1. Home
  2. A-Z Publications
  3. Geophysical Prospecting
  4. Volume 70, Issue 5
  5. Article
Volume 70, Issue 5
  • E-ISSN: 1365-2478

Abstract

ABSTRACT

Most fractured reservoirs are two‐phase media, that is, mixture of solid matrix and void. It contains rock skeleton and fractures or pores filled with oil, gas and water. These fractures are the channels of oil and gas storage and migration. In two‐phase media, the interaction between the fluid and solid phases will further complicate the seismic wave propagation. Natural fractures are typically irregular in shape, thereby causing difficulties in the exploration of fractured reservoirs. Therefore, the key to the prediction of fractures is to study the equation of motion of seismic waves and energy distribution of seismic waves at the fracture interface. To derive the propagation law for complex irregular shape fractures in two‐phase media, we combined the stiffness matrix of the media with linear slip theory and derived a numerical simulation scheme. The simulation scheme considers the fractures in the two‐phase media to be in any direction. In addition, seismic wave energy distribution at the fracture interface was obtained. The linear slip boundary condition was introduced into the conventional Zoeppritz equation, and a modified Zoeppritz equation was proposed for two‐phase fractured media. The reflection and transmission due to the fracture interface were considered in the new equation, thereby making the equation more flexible. Using the new numerical simulation scheme, we analysed the elastic waves produced by the linear slip fracture interface in two‐phase media and provided the long‐term stability results of the new scheme. Moreover, we provided the relationship between the reflection and transmission coefficients of the linear slip fracture interface and the incident angle and compliance in two‐phase media using the new Zoeppritz equation. The results show that the reflection wave of two‐phase fractured media can be divided into wave impedance and fracture parts to accurately describe the properties of underground rocks.

© 2022 European Association of Geoscientists & Engineers. © 2022 European Association of Geoscientists & Engineers.
Loading

Article metrics loading...

/content/journals/10.1111/1365-2478.13198
2022-05-18
2024-04-25

  • From This Site

    /content/journals/10.1111/1365-2478.13198
    dcterms_title,dcterms_subject,pub_keyword
    -contentType:Journal -contentType:Contributor -contentType:Concept -contentType:Institution
    10
    5
Loading full text...

Full text loading...

References

  1. Aki, K. and Richards, P.G. (1980) Quantitative Seismology. New York: W. H. Freeman & Co.
     [Google Scholar]
  2. Backus, G.E. (1962) Long‐wave elastic anisotropy produced by horizontal layering. Journal of Geophysical Research, 67, 4427–4440.
     [Google Scholar]
  3. Bakku, S.K., Fehler, M. and Burns, D. (2013) Fracture compliance estimation using borehole tube waves. Geophysics, 78, D249–D260.
     [Google Scholar]
  4. Bakulin, A., Grechka, V. and Tsvankin, I. (2000) Estimation of fracture parameters from reflection seismic data. Part I: HTI model due to a single fracture set. Geophysics, 65, 1788–1802.
     [Google Scholar]
  5. Berryman, J.G., (1980) Long‐wavelength propagation in composite elastic media II. Ellipsoidal inclusions. Journal of the Acoustical Society of America, 68(6), 1820–1831.
     [Google Scholar]
  6. Berryman, J.G. (1981) Elastic wave propagation in fluid‐saturated porous media. The Journal of the Acoustical Society of America, 69, 416–424.
     [Google Scholar]
  7. Biot, M.A. (1956) Theory of propagation of elastic waves in a fluid‐saturated porous solid. I: Low frequency range. Journal of the Acoustical Society of America, 28, 168–178.
     [Google Scholar]
  8. Cheng, K., Feng, W., Wang, C. and Wise, S.M. (2017) An energy stable fourth order finite difference scheme for the Cahn–Hilliard equation. Journal of Computational and Applied Mathematics.
     [Google Scholar]
  9. Coates, R.T. and Schoenberg, M. (1995) Finite‐difference modeling of faults and fractures. Geophysics, 60, 1514–1526.
     [Google Scholar]
  10. Cui, X., Lines, L.R. and Krebes, E.S. (2018) Seismic modeling for geological fractures. Geophysical Prospecting, 66, 157–168.
     [Google Scholar]
  11. Dablain, M.A. (1986) The application of high‐order differencing to the scalar wave equation. Geophysics, 51, 54–66.
     [Google Scholar]
  12. Dai, N., Vafidis, A., Kanasewich, E.R. (1995) Wave propagation in heterogeneous, porous media: a velocity‐stress, finite‐difference method. Geophysics, 60(2), 327–340.
     [Google Scholar]
  13. Deresiewicz, H. and Skalak, R. (1963) On uniqueness in dynamic poro‐elasticity. Bulletin of the Seismological Society of America, 53, 783–788.
     [Google Scholar]
  14. Dvorkin, J. and Nur, A. (1993) Dynamic poroelasticity: a unified model with the squirt and the Biot mechanisms. Geophysics, 58(4), 524–533.
     [Google Scholar]
  15. Fornberg, B. (1998) Classroom note: calculation of weights in finite difference formulas. SIAM Review, 40(3), 685–691.
     [Google Scholar]
  16. Gassmann, F. (1951) Über die Elastizität poröser Medien. Vierteljahrs‐schrift der Naturforschenden Gesellschaft in Zürich, 96, 1–23.
     [Google Scholar]
  17. Geertsma, J. and Smit, D.C. (1961) Some aspects of elastic wave propagation in fluid‐saturated porous solids. Geophysics, 26, 169–181.
     [Google Scholar]
  18. Hood, J. (1991) A simple method for decomposing fracture‐induced anisotropy. Geophysics, 56, 1275–1279.
     [Google Scholar]
  19. Hsu, C.‐J. and Schoenberg, M. (1993) Elastic waves through a simulated fracture medium. Geophysics, 58, 964–977.
     [Google Scholar]
  20. Lovera, O.M. (1987) Boundary conditions for a fluid‐saturated porous solid. Geophysics, 52, 174–178.
     [Google Scholar]
  21. Lin, K., He, Z.‐H., Xiong, X.‐J., He, X.‐L., Cao, J.‐X. and Xue, Y.‐J. (2014) AVO forwarding modeling in two‐phase media: multiconstrained matrix mineral modulus inversion. Applied Geophysics, 11(4), 395–404.
     [Google Scholar]
  22. Mavko, G.M. and Nur, A. (1975) Melt squirt in the asthenosphere. Journal of Geophysical Research, 80(11), 1444–1448.
     [Google Scholar]
  23. Minato, S., Ghose, R. and Osukuku, G. (2017) Experimental verification of spatially varying fracture‐compliance estimates obtained from amplitude variation with offset inversion coupled with linear slip theory. Geophysics, 83, WA1–WA8.
     [Google Scholar]
  24. Mou, Y., (1996) Reservoir Geophysics. Beijing:Petroleum Industry Press (in Chinese).
     [Google Scholar]
  25. Moczo, P., Kristek, J. and Halada, L. (2000) 3D fourth‐order staggered‐grid finite‐difference schemes: stability and grid dispersion. Bulletin of the Seismological Society of America, 90, 587–603.
     [Google Scholar]
  26. Muir, F., Dellinger, D., Etgen, J. and Nichols, D. (1992) Modeling elastic wavefields across irregular boundaries. Geophysics, 57, 1189–1193.
     [Google Scholar]
  27. Müller, T.M. and Gurevich, B. (2004) One‐dimensional random patchy saturation model for velocity and attenuation in porous rocks. Geophysics, 69, 1166–1172.
     [Google Scholar]
  28. Plona, T.J. (1980) Observation of a second bulk compressional wave in a porous medium at ultrasonic frequencies. Applied Physics Letters, 36, 259–261.
     [Google Scholar]
  29. Pšenčík, I. and Vavryčuk, V. (1998) Weak contrast PP wave displacement R/T coefficients in weakly anisotropic elastic media. Pure and Applied Geophysics, 151, 699–718.
     [Google Scholar]
  30. Pyrak‐Nolte, L. and Morris, J., (2000) Single fractures under normal stress: the relation between fracture specific stiffness and fluid flow. International Journal of Rock Mechanics and Mining Sciences, 37, 245–262.
     [Google Scholar]
  31. Rüger, A. (1998) Variation of p‐wave reflectivity with offset and azimuth in anisotropic media. Geophysics, 63, 935–947.
     [Google Scholar]
  32. Schoenberg, M. (1980) Elastic wave behavior across linear slip interfaces. Journal of the Acoustical Society of America, 68, 1516–1521.
     [Google Scholar]
  33. Schoenberg, M. and Muir, F. (1989) A calculus for finely layered anisotropic media. Geophysics, 54, 581–589.
     [Google Scholar]
  34. Smith, G.C. and Gidlow, P.M. (1987) Weighted stacking for rock property estimation and detection of gas. Geophysical Prospecting, 35, 993–1014.
     [Google Scholar]
  35. Thomsen, L. (1995) Elastic anisotropy due to aligned cracks in porous rock. Geophysical Prospecting, 43, 805–829.
     [Google Scholar]
  36. Virieux, J. (1986) P‐SV wave propagation in heterogeneous media: velocity‐stress finite difference method. Geophysics, 51, 889–901.
     [Google Scholar]
  37. Wang, E., Carcione, J.M., Ba, J. and Liu, Y. (2019) Reflection and transmission of plane elastic waves at an interface between two double‐porosity media: effect of local fluid flow. Surveys in Geophysics, 41(2), 283–322.
     [Google Scholar]
  38. Wang, K., Peng, S., Lu, Y. and Cui, X. (2020) The velocity‐stress finite‐difference method with a rotated staggered grid applied to seismic wave propagation in a fractured medium. Geophysics, 85, T89–T100.
     [Google Scholar]
  39. White, J.E. (1975) Computed seismic speeds and attenuation in rocks with partial gas saturation. Geophysics, 40, 224–232.
     [Google Scholar]
  40. Wu, K.Y., Xue, Q. and Laszlo, A. (1990) Reflection and transmission of elastic waves from a fluid‐saturated porous boundary. Journal of the Acoustical Society of America, 87, 2349–2358.
     [Google Scholar]
http://instance.metastore.ingenta.com/content/journals/10.1111/1365-2478.13198
Loading
Wavefield simulation of fractured porous media and propagation characteristics analysis
Geophysical Prospecting 70, 886 (2022); https://doi.org/10.1111/1365-2478.13198
/content/journals/10.1111/1365-2478.13198
/content/journals/10.1111/1365-2478.13198
Loading

Data & Media loading...

  • Article Type: Research Article
Keyword(s): Modelling; Numerical study; Reservoir geophysics

Most Cited This Month Most Cited RSS feed

This is a required field
Please enter a valid email address
Approval was a Success
Invalid data
An Error Occurred
Approval was partially successful, following selected items could not be processed due to error