6 results about "Finite difference coefficient" patented technology

The invention relates to the technical field of numerical simulation, and discloses a seismic wave forward numerical simulation method, device and system and a storage medium, and the method comprises the steps: determining a first objective function based on a traditional regular grid finite difference format three-dimensional scalar wave equation; based on the first objective function, establishing a second objective function of a three-dimensional effective vector wave number range; a regularization parameter is introduced into the second objective function, an optimal solution is determined by solving a regularization problem, and an optimized finite difference coefficient is obtained; and substituting the optimized finite difference coefficient into the second objective function to obtain the maximum value of the effective vector wave number range. According to the method, the obtained three-dimensional space is established on the basis of the minimum norm, the domain second-order partial derivative rule grid finite difference coefficient is obtained, and error accumulation in numerical simulation of the deep target can be better reduced.

The application discloses a fractional-order viscous wave equation numerical simulation method, system and device, relates to the technical field of seismic wave propagation numerical simulation, and comprises the following steps: substituting a wave equation plane wave solution into a fractional-order Laplacian operator finite difference formula to obtain a generating function corresponding to the finite difference formula; replacing regular grid finite difference coefficients with optimized regular grid finite difference coefficients, performing inverse Fourier transform on the generating function to obtain optimized difference coefficients; based on the optimized difference coefficients of the finite difference formula and the fractional-order Laplacian operator finite difference formula, performing numerical dispersion on a preset fractional-order Laplacian viscous wave equation to obtain a fractional-order Laplacian viscous wave equation finite difference wave field recursion formula of seismic wave field data, and then simulating seismic response characteristics in an attenuation medium. The application can efficiently simulate numerical values of seismic response characteristics in the attenuation medium.

The invention discloses an elastic wave field forward modeling acceleration method and system based on parallel one-dimensional transverse convolution. The method comprises the following steps: S1, constructing a one-dimensional transverse convolution kernel according to a finite difference coefficient; s2, on the basis of the one-dimensional transverse convolution kernel, executing one-dimensional transverse convolution operation on the input matrix, and calculating to obtain a partial derivative in the x direction; s3, through matrix transposition processing, data arrangement in the z direction is converted into continuous data in the row direction, one-dimensional transverse convolution operation is executed based on the transposed input matrix, and a partial derivative in the z direction is obtained through calculation; and S4, on the basis of the calculated partial derivatives in the x direction and the z direction, elastic wave field forward modeling is executed. According to the technical scheme, high arithmetic strength and high calculation efficiency of convolution in the GPU are fully utilized, and the problem that the GPU reads data slowly according to columns is solved by using a matrix transposition technology.

The present invention relates to the technical field of numerical simulation, and discloses a seismic wave forward numerical simulation method, device, system and storage medium. The method includes: determining a first objective function based on the three-dimensional scalar wave equation of the traditional regular grid finite difference format; establishing a second objective function within the three-dimensional effective vector wave number range based on the first objective function; introducing a regularization parameter into the second objective function, and determining an optimal solution by solving the regularization problem to obtain optimized finite difference coefficients; substituting the optimized finite difference coefficients into the second objective function to obtain the maximum value within the effective vector wave number range. The present invention establishes the second-order partial derivative regular grid finite difference coefficients in the three-dimensional space solution domain obtained based on the minimum norm, which is more conducive to reducing the error accumulation in the numerical simulation of deep targets.

The application discloses a seismic vector wave field numerical simulation method, device and medium, relates to the technical field of seismic vector wave field numerical simulation, and comprises the following steps: according to the Nyquist sampling theorem, a difference dispersion relation formula containing staggered grid finite difference coefficients is determined; an error limiting condition is introduced, and the staggered grid finite difference dispersion relation formula is converted into a target function to be optimized; an improved zebra optimization algorithm is used to solve the target function, and an optimized staggered grid finite difference operator is obtained; the first-order velocity-stress elastic wave equation is subjected to difference dispersion processing by using the optimized staggered grid finite difference operator, and according to the medium parameter model of a test region, a high-precision seismic vector wave field in a calculation region can be calculated. The improved zebra optimization algorithm is used to optimize the staggered grid finite difference operator, the seismic vector wave field numerical simulation precision can be improved, and a foundation is laid for a subsequent seismic imaging inversion process.

The invention discloses a seismic vector wave field numerical simulation method and device and a medium, and relates to the technical field of seismic vector wave field numerical simulation, and the method comprises the steps: determining a difference frequency dispersion relational expression containing a staggered grid finite difference coefficient according to a Nyquist sampling theorem; introducing an error limitation condition, and converting the staggered grid finite difference frequency division dispersion relational expression into a to-be-optimized target function; solving the objective function by using an improved zebra optimization algorithm to obtain an optimized staggered grid finite difference operator; the method comprises the following steps of: performing differential discrete processing on a first-order speed-stress elastic wave equation by utilizing an optimized staggered grid finite difference operator, and calculating to obtain a high-precision seismic vector wave field in a calculation region according to a medium parameter model of a test region, and according to a medium parameter model of the test region, optimizing the staggered grid finite difference operator by utilizing an improved zebra optimization algorithm, and obtaining a high-precision seismic vector wave field in the calculation region. The seismic vector wave field numerical simulation precision can be improved, and a foundation is laid for the subsequent seismic imaging inversion process.