Multiple cracks in VTI rocks: Effective properties and fracture characterization

Geophysics

Volumn 72, Issue 5, 2007, Pages

  Grechka, Vladimir ^a  

^a SHELL GLOBAL SOLUTIONS INTERNATIONAL B V   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; APPROXIMATION THEORY; COMPUTER SIMULATION; CRACKS; FINITE ELEMENT METHOD; FRACTURE; INVERSE PROBLEMS; ROCKS; TENSORS;

NONINTERACTION APPROXIMATION; ORTHOGONAL CRACK SYSTEMS; VETICALLY TRANSVERSELY ISOTROPIC (VTI);

PETROLOGY;

CRACK; FINITE ELEMENT METHOD; FRACTURE; HOST ROCK; INVERSE ANALYSIS; SEISMIC DATA; THREE-DIMENSIONAL MODELING; TRANSVERSE ISOTROPY;

EID: 34548525846     PISSN: 00168033     EISSN: None     Source Type: Journal    
DOI: 10.1190/1.2751500     Document Type: Article

References (35)

1. Bakulin, A., V. Grechka, and I. Tsvankin, 2000, Estimation of fracture parameters from reflection seismic data - Part II: Fractured models with orthorhombic symmetry: Geophysics, 65, 1788-1830. gpy GPYSA7 0016-8033 10.1190/1.1444863
2. 2002, Seismic inversion for the parameters of two orthogonal fracture sets in a VTI background medium: Geophysics, 67, 292-299. gpy GPYSA7 0016-8033 10.1190/1.1451801
3. Budiansky, B., and R. J. O'Connell, 1976, Elastic moduli of a cracked solid: International Journal of Solids and Structures, 12, 81-97. ijl IJSOAD 0020-7683 10.1016/0020-7683(76)90044-5
4. Dellinger, J., 2005, Computing the optimal transversely isotropic approximation of a general elastic tensor: Geophysics, 70, no. 5, I1-I10. gpy GPYSA7 0016-8033 10.1190/1.2073890
5. Dewangan, P., and V. Grechka, 2003, Inversion of multicomponent, multiazimuth, walkaway VSP data for the stiffness tensor: Geophysics, 68, 1022-1031. gpy GPYSA7 0016-8033 10.1190/1.1581073
6. Eshelby, J. D., 1957, The determination of the elastic field of an ellipsoidal inclusion and related problems: Proceedings of the Royal Society of London, A241, 376-396. pln PRLAAZ 0962-8444
7. Fedorov, F.I., 1968, Theory of elastic waves in crystals: Plenum Press.
8. Grechka, V., 2003, Effective media: A forward modeling view: Geophysics, 68, 2055-2062. gpy GPYSA7 0016-8033 10.1190/1.1635059
9. Grechka, V., and M. Kachanov, 2006a, Seismic characterization of multiple fracture sets: Does orthotropy suffice?: Geophysics, 71, no. 3, D93-D105. gpy GPYSA7 0016-8033 10.1190/1.2196872
10. 2006b, Effective elasticity of rocks with closely spaced and intersecting cracks: Geophysics, 71, no. 3, D85-D91. gpy GPYSA7 0016-8033 10.1190/1.2197489
11. 2006c, Effective elasticity of fractured rocks: A snapshot of the work in progress: Geophysics, 71, no. 6, W45-W58. gpy GPYSA7 0016-8033 10.1190/1.2360212
12. Grechka, V., and I. Tsvankin, 1998, 3-D description of normal moveout in anisotropic media: Geophysics, 63, 1079-1092. gpy GPYSA7 0016-8033 10.1190/1.1444386
13. 2003, Feasibility of seismic characterization of multiple fracture sets: Geophysics, 68, 1399-1407. gpy GPYSA7 0016-8033 10.1190/1.1598133
14. 2004, Characterization of dipping fractures in transversely isotropic background: Geophysical Prospecting, 52, 1-10. 8uc GPPRAR 0016-8025 10.1046/j.1365-2478.2004.00396.x
15. Grechka, V., I. Vasconcelos, and M. Kachanov, 2006, The influence of crack shape on the effective elasticity of fractured rocks: Geophysics, 71, no. 5, D153-D160. gpy GPYSA7 0016-8033 10.1190/1.2240112
16. Kachanov, M., 1980, Continuum model of medium with cracks: Journal of the Engineering Mechanics Division, ASCE, 106, no. EM5, 1039-1051. 97a JMCEA3 0044-7951
17. 1993, Elastic solids with many cracks and related problems, in J. W. Hutchinson and T. Wu, eds., Advances in applied mechanics 30: Academic Press Inc., 259-445.
18. Kachanov, M., and I. Sevostianov, 2005, On quantitative characterization of microstructures and effective properties: International Journal of Solids and Structures, 42, 309-336. ijl IJSOAD 0020-7683 10.1016/ j.ijsolstr.2004.06.016
19. Kachanov, M., B. Shafiro, and I. Tsukrov, 2003, Handbook of elasticity solutions: Kluwer Academic Publishers.
20. Levin, V., and M. Markov, 2005, Elastic properties of inhomogeneous transversely isotropic rocks: International Journal of Solids and Structures, 42, no. 4, 393-408. ijl IJSOAD 0020-7683 10.1016/ j.ijsolstr.2004.06.044
21. Mauge, C., and M. Kachanov, 1994, Effective elastic properties of an anisotropic material with arbitrary oriented interacting cracks: Journal of Mechanics and Physics of Solids, 42, no. 4, 561-584. jmx JMPSA8 0022-5096 10.1016/0022-5096(94)90052-3
22. Mura, T., 1987, Micromechanics of defects in solids: Martinus Nijhoff Publishers.
23. Nemat-Nasser, S., and M. Hori, 1999, Micromechanics: Overall properties of heterogeneous materials: Elsevier Science Publ. Co., Inc.
24. Ostoja-Starzewski, M., 2006, Material spatial randomness: From statistical to representative volume element: Probabilistic Engineering Mechanics, 21, 112-132. 9hm PEMEEX 0266-8920 10.1016/ j.probengmech.2005.07.007
25. Saenger, E. H., O. S. Krüger, and S. A. Shapiro, 2006, Effective elastic properties of fractured rocks: Dynamic versus static considerations: 76th Annual International Meeting, SEG, Expanded Abstracts, 1948-1952.
26. Sayers, C. M., 1998, Misalignment of the orientation of fractures and the principal axes for P and S waves in rocks containing multiple non-orthogonal fracture sets: Geophysical Journal International, 133, 459-466. gji GJINEA 0956-540X 10.1046/j.1365-246X.1998.00507.x
27. 2005, Seismic anisotropy of shales: Geophysical Prospecting, 53, 667-676. 8uc GPPRAR 0016-8025 10.1111/j.1365-2478.2005.00495.x
28. Schoenberg, M., 1980, Elastic wave behavior across linear slip interfaces: Journal of the Acoustical Society of America, 68, 1516-1521. jas JASMAN 0001-4966 10.1121/1.385077
29. Schoenberg, M., and K. Helbig, 1997, Orthorhombic media: Modeling elastic wave behavior in a vertically fractured earth: Geophysics, 62, 1954-1974. gpy GPYSA7 0016-8033 10.1190/1.1444297
30. Schoenberg, M., and C. M. Sayers, 1995, Seismic anisotropy of fractured rock: Geophysics, 60, 204-211. gpy GPYSA7 0016-8033 10.1190/1.1443748
31. Thomsen, L., 1986, Weak elastic anisotropy: Geophysics, 51, 1954-1966. gpy GPYSA7 0016-8033 10.1190/1.1442051
32. Tsukrov, I., and M. Kachanov, 2000, Effective moduli of an anisotropic material with elliptical holes of arbitrary orientational distribution: International Journal of Solids and Structures, 37, 5919-5941. ijl IJSOAD 0020-7683
33. Tsvankin, I., 1997, Anisotropic parameters and P-wave velocity for orthorhombic media: Geophysics, 62, 1292-1309. gpy GPYSA7 0016-8033 10.1190/1.1444231
34. Vasconcelos, I., and V. Grechka, 2007, Seismic characterization of multiple fracture sets at Rulison field, Colorado: Geophysics, 72, no. 2, B19-B30. gpy GPYSA7 0016-8033 10.1190/1.2436779
35. Wang, Z., 2002, Seismic anisotropy in sedimentary rocks, Part 2: Laboratory data: Geophysics, 67, 1423-1440. gpy GPYSA7 0016-8033 10.1190/ 1.1512743