Abstract:Boundary element method for wave equation boundary value problem involves three steps: (1)The boundary value problem of wave equations is converted into the boundary value problem of Helmholtz's equations by performing the one-dimensional Fourier transform of time variable. (2)The new boundary value problem is converted into an integral equation by using Green's formula. (3)The integral equation is solved using boundary element method, and the required numerical solution is obtained by using inverse Fourier transform. This paper analyses the theoretical formulas and application of the method. This method can be applied to forward and inverse seismic problems. In solving integral equation using boundary element method, the adoption of interval truncation division results in less element knots, less internal storage, faster operation and more accurate computation.
李学军. 用边界元法进行地震正演模拟[J]. 石油地球物理勘探, 1991, 26(1): 19-23.
Li Xuejun. Forward seismic modeling with the use of boundary eIement method. OGP, 1991, 26(1): 19-23.