三维地震电算模型的一种算法——克希霍夫积分法

AN ALGORITHM OF COMPUTER IMPLEMENTATION TO 3-D SEISMIC MODEL——KIRCHHOFF SUMMATION METHOD

本文应用波动方程的克希霍夫积分定理,建立了一种单层界面三维理论合成记录的近似计算公式.为讨论问题方便起见,假设地层模型沿坐标轴Y方向没有起伏,但沿X、Z方向可以任意分布.当测线与构造的走向成任意方位角时,二维问题就变成了三维问题.本文较详细地讨论了理论共炮点合成记录和理论自激自收合成记录的一种数值解法,解法力求简单,以适应中小型电子计算机算题.最后,本文探讨了在三维空间中克希霍夫“广义倾斜因子”存在的可能性.

In terms of the Kirchhoff summation method of wave equation, an approximate calculation formula for 3-D synthetic seismograms of a single layered interface is established in this paper. For convenience' sake, suppose there isn't any variation on surface model along the coordinate axis in Y direction but it can, arbitrarily, be distributed in X, Z directions. When if traverse is presented to be an arbitrary azimuth with the strike of structure can 2-D be turned into 3-D[4] problems. A numerical solution for synthetic seismograms corresponding to common shotpoints and zero-offsets is discussed in some detail. Moreover, the solution is expected to be as simple as possible so as to adapt itself to the calculations of medium-sized or mini comput ers.Tn addition, the possibilities of generalized Kirchhoff dipping factor In 3-D space coming into existence is briefly discussed at the end of this paper.