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Nonlinear optimization based time-space domain staggered grid finite difference method and device

A nonlinear optimization and finite difference technology, applied in the field of forward modeling, can solve the problems of large dispersion and low simulation accuracy

Active Publication Date: 2014-03-12
BC P INC CHINA NAT PETROLEUM CORP +1
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Problems solved by technology

[0004] However, using the finite-difference method based on Taylor series expansion and dispersion relationship in the space domain has the following problems: in the low frequency band, the dispersion is close to zero, while in the middle and high frequency bands, the dispersion is large, resulting in low simulation accuracy

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  • Nonlinear optimization based time-space domain staggered grid finite difference method and device
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  • Nonlinear optimization based time-space domain staggered grid finite difference method and device

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[0089] The inventors found that in the conventional finite difference method, the difference coefficients are generally obtained by minimizing the dispersion relationship in the spatial domain. In this way, the dispersion error is close to zero in the low frequency band, but in the middle and high frequency bands, the frequency The dispersion is large, which cannot well describe the law of seismic wave propagation in the space-time domain. For this reason, in this embodiment, a time-space domain staggered grid finite difference method based on nonlinear optimization is proposed to perform elastic wave forward modeling. This method minimizes the dispersion relationship between the time domain and the space domain, and Non-linear inversion algorithm is used to obtain the optimal difference coefficient, so as to reduce the dispersion in the middle and high frequency bands and improve the simulation accuracy.

[0090] In the embodiment of the present invention, a non-linear optimi...

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Abstract

The invention provides a nonlinear optimization based time-space domain staggered grid finite difference method and device. The method includes: determining finite difference coefficients; optimizing the finite difference coefficients on the basis of time-space domain dispersion relation and a nonlinear inversion algorithm; utilizing the optimized finite difference coefficients to perform elastic wave forward modeling. By the method and device, the technical problems of high middle-high frequency dispersion and low simulation precision caused by the fact that a finite difference method of taylor series expansion and space domain dispersion relation is utilized to acquire the finite difference coefficients so as to perform elastic wave forward modeling are solved, dispersion of middle and high frequency is achieved, and technical effect of simulation precision is improved.

Description

technical field [0001] The invention relates to the technical field of forward modeling, in particular to a finite difference method and device for interlaced grids in time-space domain based on nonlinear optimization. Background technique [0002] Seismic numerical simulation technology is the process of appropriately simplifying specific geological and geophysical problems to form a simplified mathematical model, and then using numerical calculation methods to obtain seismic responses. Seismic numerical simulation technology is an effective means to understand the characteristics of seismic wave propagation in the ground and to help interpret observation data. Seismic numerical simulation can also provide high-quality simulation data for new technology proposals, feasibility analysis and application tests; help geophysicists test new algorithms and processing technologies, and provide ideas and effective verification data for seismic inversion problems. In recent years, w...

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G01V1/28
Inventor 任志明刘洋
Owner BC P INC CHINA NAT PETROLEUM CORP
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