基于有限差分的2.5维直流电阻率法的改进

Improvement of 2. 5D DC Resistivity based on the Finite Difference Menthod

在高精度正演计算中,应用有限差分法进行计算时,受傅里叶系数和边界条件的影响较大,导致计算精度不够高,所以对其进行两点改进,以提高其计算精度。在采用有限差分的基础上对傅里叶变换进一步优化,并对边界条件进行改进和校正使其正演结果更加准确。通过对地表电压进行算法验证,认为改进后的结果更接近理论值。并以温纳装置为模型基础,分别建立高低阻模型进行正演对比,通过结果对比可以看出,改进后的计算值精度更好,正演结果受边界影响更小,异常区域更加突出。

In high precision forward calculation,when using the finite difference method to calculate,greatly influenced by the Fourier coefficients will lead to accuracy is not high enough,the influence of the boundary conditions is relatively large,so here its two improvements to improve its accuracy. The Fourier transform further optimization based on the finite difference method,improve and correct boundary conditions make the results more accurate forward. Through the surface voltage algorithm verification,can be found that the results after the improvement are more close to the theoretical value. Based on the model of wenner device,high and low resistance model forward comparison,by comparison with the results can be seen that the calculated value after the improvement better precision,less affected by the boundary conditions,the anomalous region more outstanding.