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- W2313315029 abstract "Seismic wave propagation described by differential equations with variable coefficients, may be solved by the Chebyshev polynomial expansion method (CPEM). This method approximates a model and solutions by orthonormal Chebyshev polynomials. The CPEM has two main advantages over other techniques; a global approximation of the model is constructed, and the solutions explicitly depend on the parameters of the model. These advantages are very attractive for inversion. The first always allows us to get a smooth model from inversion. The second directly produces partial derivatives of the solutions with respect to the model parameters, which streamlines the inversion and also a gives quantitative tool for determining the feasibility of inversion in the presence of noise (by singular value decomposition). We consider two examples of inversion to demonstrate the potential of the CPEM. The first is non-linear inversion for velocity and density using borehole SH-wave data. The second is linear inversion for interval velocities from RMS velocity data; our results compare favorably with those of the most robust techniques." @default.
- W2313315029 created "2016-06-24" @default.
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- W2313315029 date "1995-01-01" @default.
- W2313315029 modified "2023-09-23" @default.
- W2313315029 title "Solving 1‐D inverse problems by Chebyshev polunomial expansion" @default.
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- W2313315029 doi "https://doi.org/10.1190/1.1887409" @default.
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