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本文前一部分叙述了点源二维电阻率法数值模拟正演计算的有限单元法,文中采用混合边界条件、用LL~T分解解线性方程组等优化措施,使二维有限单元法电阻率法正演计算的速度和精度都比目前国外流行的L.Rijo方法和程序有了进一步的提高。文中介绍了有关的方法并引入了若干计算结果。本文后一部分叙述了三维电阻率法数值模拟的积分方程近似解法,由于对K.Dieter等人提出的方法作了一些近似处理,并用迭代法求解积分方程表示式,实算结果说明在保证计算精度的条件下,提高了计算速度,从而提高了三维电场正演计算的有效性和实用性。所提出的方法容易推广到激发极化法的正演计算中。
In the first part of this paper, the finite element method for forward modeling of point source 2D resistivity method is described. In the paper, the mixed boundary conditions are used to solve the linear equations with LL ~ T decomposition. The two-dimensional finite element method resistivity method Forward calculation speed and accuracy than the current popular L.Rijo methods and procedures have been further improved. The article introduced the method and introduced some calculation results. In the second part of the thesis, the approximate solution of the integral equation of three-dimensional resistivity numerical simulation is described. Due to the approximation of the method proposed by K. Dieter et al., The iterative method is used to solve the integral equation expression. , The computational speed is improved, which improves the validity and practicability of the forward calculation of 3D electric field. The proposed method is easily extended to the forward calculation of the excitation polarization method.