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- W4246222719 abstract "For efficient inversion of reflection seismic amplitude data for elastic parameters, we derive the so-called pseudo-quadratic approximations to the Zöppritz equations for calculating reflection and transmission coefficients as a function of the ray parameter p. An immediate advantage of using these quadratic approximations in the tomographic inversion is that we can compute analytically, but not necessarily numerically, the sensitivity matrix of Fréchet derivatives of amplitudes with respect to elastic parameters. We also represent the amplitude coefficients as a quadratic function of the elastic contrasts at an interface, and compare them to the linear approximation used in conventional AVO analysis, where we can invert for only two elastic parameters. We see that by using the second-order approximation, the condition number of the Fréchet matrix for three elastic parameters is improved significantly. Therefore, we can use these quadratic approximations directly with amplitude information to estimate not only two but three parameters: P-wave velocity contrast, S-wave velocity contrast, and the ratio of S-wave and P-wave velocities at an interface. We also see that the approximation can provide instructive insight into pore-fluid content in conventional AVO analysis." @default.
- W4246222719 created "2022-05-12" @default.
- W4246222719 date "2003-01-01" @default.
- W4246222719 modified "2023-09-27" @default.
- W4246222719 title "Chapter 3 Amplitude coefficients and approximations" @default.
- W4246222719 doi "https://doi.org/10.1016/s0950-1401(03)80005-8" @default.
- W4246222719 hasPublicationYear "2003" @default.
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