Wave field forward modeling method and device

Abstract

Embodiments of the present invention provide a wave field forward modeling method and device, wherein the method includes: obtaining a window function, wherein the window function includes a finite difference coefficient and an adjustment coefficient; according to the maximum norm principle and the Window function, creating an objective function; solving the objective function to obtain the solution of the finite difference coefficient and the solution of the adjustment coefficient; substituting the optimal solution into the window function; using the window function to obtain the optimized The uniform grid finite difference operator; use the optimized uniform grid finite difference operator to carry out wave field forward simulation. This scheme optimizes the coefficients to be optimized in the objective function, and realizes for the first time that the uniform grid finite difference operator can be optimized by combining the window function and the objective function. The optimized uniform grid finite difference operator performs wave field normalization It is beneficial to reduce numerical dispersion when performing simulations.

Description

technical field [0001] The invention relates to the technical field of data processing, in particular to a wave field forward modeling simulation method and device. Background technique [0002] Seismic wavefield forward modeling based on finite difference format has been widely used in reverse time migration. Both full-wave inversion and reverse time migration require multiple forward modeling and wavefield backpropagation. Therefore, forward modeling Accuracy and speed are very important considerations, which have great significance for imaging and inversion. Many scholars have done extensive research on the finite difference scheme of the wave equation. To reduce numerical dispersion, various finite difference schemes have been developed, such as variable grid, irregular grid, staggered grid, and rotated staggered grid, etc. [0003] However, the classical coefficients of higher-order finite-difference operators on spatial derivatives are usually determined by the Taylo...

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Problems solved by technology

[0006] The embodiment of the present invention provides a wave field forward modeling method to solve the technical problems in the prior art that the objective function is complex in the optimization process of the finite difference operator and the strong numerical dispersion exists in the seismic wave field forward modeling

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