Staggered mesh forward modeling method based on time-space domain optimization
A technique of staggered grid and forward modeling, applied in seismic signal processing, etc., can solve the problems of less research on the first-order variable density acoustic wave equation, achieve the effect of suppressing numerical dispersion and improving calculation accuracy
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[0033] For numerical frequencies, we can start with optimizing the differential coefficients, and we can make improvements in the following three aspects: (1) Based on the principle of plane waves, deduce the differential operator and the filter response of the differential operator in the wavenumber domain; and use the function fitting algorithm to make The difference operator is close to the differential operator; (2) The space difference and spectral decomposition are combined in the wavenumber domain, and the difference operator is improved to reduce the calculation error. (3) Improve the calculation accuracy of finite difference from the aspect of grid nodes.
[0034] The staggered grid forward modeling method based on time-space domain optimization can be realized through the following technical measures: Step 1, the plane wave solution of the velocity-pressure equation set, the result will be used to obtain the precise staggered time recursive format coefficients; 2. Th...
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