Unconditionally stable seismic wave field continuation method based on staggered grid Lowrank decomposition

A staggered grid and wave field continuation technology, applied in the field of exploration geophysics, can solve problems such as time step stability constraints, and achieve the effect of suppressing numerical dispersion and improving computational efficiency
CN104459773AInactive Publication Date: 2015-03-25BC P INC CHINA NAT PETROLEUM CORP +1

Patent Information

Authority / Receiving Office
CN · China
Patent Type
Applications(China)
Current Assignee / Owner
BC P INC CHINA NAT PETROLEUM CORP
Publication Date
2015-03-25
Estimated Expiration
Not applicable · inactive patent

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Abstract

The invention relates to an unconditionally stable finite difference seismic wave field continuation method based on a staggered grid Lowrank operator. The method comprises the steps that a first-order speed-stress equation Fourier integral solution is utilized for constructing the Lowrank operator on a staggered grid; an attenuation function is utilized for carrying out attenuation constraint on the staggered grid Lowrank operator; the weighted least square method is utilized for calculating a finite difference coefficient; the obtained finite difference coefficient is utilized for achieving unconditionally stable finite difference seismic wave field continuation. On the basis of the Lowrank decomposition approximate wave number-spatial domain operator, the computationally-stable and high-precision optimized finite difference coefficient is obtained through the attenuation constraint and the weighted least square method, and unconditionally stable finite difference seismic wave field continuation can be achieved through the constructed finite difference computational format.
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Description

technical field

[0001] The invention belongs to the field of exploration geophysics, and in particular relates to an unconditionally stable finite difference wave seismic field continuation method based on a staggered grid Lowrank operator. Background technique

[0002] Oil and natural gas are important energy sources related to the national economy and people's livelihood. Seismic exploration is an effective method to find oil and gas resources and solve oil and gas exploration and development problems. Seismic forward modeling, seismic imaging and seismic inversion are important techniques in seismic exploration, and the computational efficiency and accuracy of these three techniques depend on the time-domain seismic wavefield continuation method adopted. The two most commonly used time-domain wavefield continuation methods include finite-difference methods and spectral methods. Finite difference uses difference instead of differential, which has the advantages of small ...

Claims

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