Viscous-acoustic undulating surface forward modeling system and method based on viscous-acoustic quasi-differential equation
A differential equation, undulating surface technology, applied in the field of petroleum exploration, can solve the problems of inability to accurately deal with violently undulating surface, inability to separate the effects of phase dispersion, inability to accurately compensate for amplitude attenuation, and correct phase dispersion, etc.
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Embodiment 1
[0084] A viscoacoustic undulating surface forward modeling system based on viscoacoustic quasi-differential equations, its structure is as follows Figure 9 As shown, it includes input module, coordinate transformation module, viscoacoustic equation calculation module in curved coordinates, viscoacoustic wave field extension module, boundary absorption module and output module;
[0085] an input module configured to input a model including a heave surface velocity model and a quality factor Q;
[0086] A coordinate transformation module configured to perform curved grid division in a Cartesian coordinate system, and convert to a horizontal surface velocity model and a quality factor model in a curved grid coordinate system;
[0087] The viscoacoustic equation calculation module in curved coordinates is configured to transform the coordinates of the first-order viscoacoustic velocity-stress equation into the first-order viscoacoustic velocity-stress equation in the curved grid ...
Embodiment 2
[0092] On the basis of the above-mentioned embodiments, the present invention also mentions a viscoacoustic quasi-differential equation based forward modeling method for viscoacoustic undulating land surface, the process of which is as follows figure 1 As shown, it specifically includes the following steps:
[0093] Step 1: Input the model containing the fluctuating surface velocity and the quality factor Q model, and establish the observation system;
[0094] Step 2: Carry out curved grid subdivision in the Cartesian coordinate system, and use the coordinate transformation equation shown below to convert to the horizontal surface velocity model and quality factor model in the curved grid coordinate system;
[0095]
[0096] Wherein, x and z represent the horizontal coordinate and the vertical coordinate under the Cartesian coordinate system respectively; ξ and η represent the horizontal coordinate and the vertical coordinate under the curved grid coordinate system respecti...
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