论文部分内容阅读
为了解决地震波场数值模拟中的速度与精度的匹配及局部信息与全局信息的耦合等问题,该文借助新推出的基于Forsyte广义正交多项式的褶积微分算子,将计算数学中的Forsyte多项式褶积微分算子应用到地震波传播的数值模拟中.复杂非均匀介质模型数值模拟结果说明了该方法的可行性和优越性.该方法同时具有广义正交多项式褶积微分算子的高精度和有限差分短算子算法的高速度.通过对算子长度的调节及算子系数的优化,可同时兼顾波场解的全局信息与局部信息.
In order to solve the problem of the matching of velocity and accuracy and the coupling of local information with global information in the numerical simulation of seismic wave field, this paper uses the new convolutional differential operator based on Forsyte generalized orthogonal polynomials to calculate the Forsyte polynomial The convolutional differential operator is applied to the numerical simulation of seismic wave propagation.The numerical simulation results of complex inhomogeneous media show the feasibility and superiority of this method.The method also has the advantages of high precision and good linearity of generalized orthogonal polynomial convolutional differential operator Finite Difference Short-Arithmetic Algorithm for High Speed. By adjusting the operator length and optimizing the operator coefficients, the global information and local information of the wavefield solution can be considered simultaneously.