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Estimating A Shear Modulus Of A Transversely Isotropic Formation

Author(s)
Ellefsen, K. J.; Cheng, C. H.; Toksoz, M. N.
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Massachusetts Institute of Technology. Earth Resources Laboratory
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Abstract
A method to estimate c[subscript 66], which is a shear modulus of a transversely isotropic formation (with its symmetry axis parallel to the borehole), is developed and tested. The inversion for c[subscript 66] is based upon a cost function which has three terms: a measure of the misfit between the observed and predicted wavenumbers, a measure of the misfit between the current estimate for c[subscript 66] and the initial guess of its value, and penalty functions which constrain the estimate for c[subscript 66] to physically acceptable values. The inversion is applied to synthetic data for fast and slow formations, and the estimates for c[subscript 66] are within 5% of their correct values and are well resolved. The inversion is applied to field data from a formation which consists mostly of siltstone. All estimates for c[subscript 66] are significantly higher than for c[subscript 44] , and the S-wave anisotropy generally ranges from 19 to 24%.
Date issued
1990
URI
http://hdl.handle.net/1721.1/75152
Publisher
Massachusetts Institute of Technology. Earth Resources Laboratory
Series/Report no.
Earth Resources Laboratory Industry Consortia Annual Report;1990-02

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