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研究利用边界积分方程进行电阻率Zohdy反演的有关技术,结果表明在探测区域划分为数千个单元的情况下,为节省正、反演过程中所需要的计算机内存和 CPU时间,可采取以下措施:(1)假定电位分块线性变化,可以使节点数目显著减少,这里每一块都包含若干个单元;(2)利用边界积分方程的特点,可事先计算并存储所有必要的边界积分值,供每一步迭代中调用;(3)利用边界积分方程所特有的数值延拓功能,可以进一步减少节点数目.为了说明这些手段的有效性,先给出了一个数值模拟成像结果,它清楚地表明基于边界积分方程的电阻率 Zohdy反演是快速而有效的,然后给出一个实测剖面的成像实例,成像结果经钻孔检验正确.
The technique of Zohdy resistivity inversion using the boundary integral equation is studied. The results show that in order to save the computer memory and CPU time needed in the inversion process, the detection area can be divided into thousands of units Measures: (1) Assuming the linear change of potentiometric block, the number of nodes can be significantly reduced, where each block contains several units; (2) By using the characteristic of boundary integral equation, all necessary boundary integrals can be calculated and stored in advance, For each iteration of the call; (3) the use of boundary integral equation unique numerical continuation function, you can further reduce the number of nodes. To illustrate the effectiveness of these methods, a numerical simulation imaging result is given first, which clearly shows that the resistivity Zohdy inversion based on the boundary integral equation is fast and effective. Then, an imaging example of a measured section is given. The imaging result The hole test is correct.