Borehole seismic inversion in anisotropic formation
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United States of America Patent
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Jan 31, 2017
Grant Date -
Aug 19, 2010
app pub date -
Feb 11, 2010
filing date -
Feb 16, 2009
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Abstract
A method of simulating a borehole acoustic response in an anisotropic formation of the crust of the earth includes formulating a geometric model of the formation. The geometric model includes a plurality of layers definable in a cylindrical coordinate system defined by an axial direction normal to each of the layers, a radial direction relative to the axial direction, and a circumferential direction relative to the axial direction. The method also includes formulating a computational model of wave propagation in the formation. The computational model includes field variables and a wave equation describing a behavior of the field variables. The field variables are represented as respective Fourier series expansions of Tr-periodic harmonics in the circumferential direction. The method also includes numerically solving the computational model.
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