CAJ | 학술논문

应用一种新的积分方程算法对各向异性地层频率域电磁测深三维问题进行正演模拟.利用范数小于或等于1的修正Green算子得到各向异性地层中的新积分方程,由于满足压缩映射条件,该积分方程在任意参数条件下总是迭代收敛的.提出一种应用迭代法求解新积分方程的迭代初值优化选择方法,并通过具体算例对比说明该方法可使频率域电磁测深三维模拟的计算效率得到有效提高.最后应用所述算法对层状各向异性大地轴向频率测深视电阻率响应进行三维数值模拟,考察分析地层的各向异性对视电阻率响应特征的影响,得到一些重要结论.
응용일충신적적분방정산법대각향이성지층빈솔역전자측심삼유문제진행정연모의.이용범수소우혹등우1적수정Green산자득도각향이성지층중적신적분방정,유우만족압축영사조건,해적분방정재임의삼수조건하총시질대수렴적.제출일충응용질대법구해신적분방정적질대초치우화선택방법,병통과구체산례대비설명해방법가사빈솔역전자측심삼유모의적계산효솔득도유효제고.최후응용소술산법대층상각향이성대지축향빈솔측심시전조솔향응진행삼유수치모의,고찰분석지층적각향이성대시전조솔향응특정적영향,득도일사중요결론.
We carry out three-dimensional(3-D) modeling of frequency electromagnetic sounding in layered anisotropic earth using integral equation method. A integral equation formulation is derived based on modified Green's operator with norm less or equal to one. The integral equation is convergent for any conductivity distribution and frequency if iterative solvers are used. An optimal choice method on initial guess for iterative solvers is introduced. It improves computational efficiency of 3-D modeling of frequency electromagnetic sounding significantly. Apparent resistivity responses of 3-D axial frequency electromagnetic sounding are considered in multilayered unisotropic earth.