Finite element modeling of drillhole seismic responses in layered anisotropic formations and their use for elastic inversion.

摘要

A method of simulating a borehole acoustic response in an anisotropic formation of the crust of the earth includes formulating a geometric model of the formation. The geometric model includes a plurality of layers definable in a cylindrical coordinate system defined by an axial direction normal to each of the layers, a radial direction relative to the axial direction, and a circumferential direction relative to the axial direction. The method also includes formulating a computational model of wave propagation in the formation. The computational model includes field variables and a wave equation describing a behavior of the field variables. The field variables are represented as respective Fourier series expansions of Tr-periodic harmonics in the circumferential direction. The method also includes numerically solving the computational model.