Estimating a shear modulus of a transversely isotropic formation

作者: K. J. Ellefsen , M. N. Toksöz , K. M. Tubman , C. H. Cheng

DOI: 10.1190/1.1443210

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摘要: We have developed a method that estimates shear modulus (c66) of transversely isotropic formation using the tube wave generated during acoustic logging. (The symmetry axis anisotropy is assumed to parallel borehole.) The inversion, which implemented in frequency‐wavenumber domain, based upon cost function has three terms: measure misfit between observed and predicted wavenumbers wave, current estimate for c66 most‐likely value c66, penalty functions constrain physically acceptable values. largest contribution ordinarily comes from first term, indicating depends mostly on data. Because only one minimum, it can be found standard optimization methods. minimum well defined resolved. Estimates synthetic data are almost a...

参考文章(12)
J. E. WHITE, L. MARTINEAU-NICOLETIS, C. MONASH, Measured anisotropy in Pierre Shale Geophysical Prospecting. ,vol. 31, pp. 709- 725 ,(1983) , 10.1111/J.1365-2478.1983.TB01081.X
J A Scales, A Gersztenkorn, Robust methods in inverse theory Inverse Problems. ,vol. 4, pp. 1071- 1091 ,(1988) , 10.1088/0266-5611/4/4/010
J. McClellan, Two-dimensional spectrum analysis in sonic logging IEEE ASSP Magazine. ,vol. 3, pp. 12- 18 ,(1986) , 10.1109/MASSP.1986.1165373
J. E. White, Chalermkiat Tongtaow, Cylindrical waves in transversely isotropic media Journal of the Acoustical Society of America. ,vol. 69, pp. 1147- 1155 ,(1981) , 10.1121/1.386017
Chuen Hon Cheng, M Nafi Toksöz, None, Elastic wave propagation in a fluid‐filled borehole and synthetic acoustic logs GEOPHYSICS. ,vol. 46, pp. 1042- 1053 ,(1981) , 10.1190/1.1441242
Leon Thomsen, Weak elastic anisotropy Geophysics. ,vol. 51, pp. 1954- 1966 ,(1986) , 10.1190/1.1442051
Jorge J. Moré, The Levenberg-Marquardt algorithm: Implementation and theory Lecture Notes in Mathematics, Berlin Springer Verlag. ,vol. 630, pp. 105- 116 ,(1978) , 10.1007/BFB0067700