水平层状介质视电阻率的高精度计算公式及其误差分析

CALCULATION FORMULA OF APPARENT RESISTIVITY OF HORIZONTAL LAYERED MEDIUM WITH HIGH ACCURACY AND ANALYSIS OF THEIR ERROR

摘要:

为适应地电阻率法预报地震深入研究的需要,本文介绍了几种高精度计算水平层状介质视电阻率的公式及方法。对于MN→0的视电阻率计算,本文给出了J₁(x)滤波系数法的计算步骤,此外对二层、三层介质的传统级数求和法,给出了估算精度的公式;对于MN≠O的视电阻率计算,本文讨论了数值积分法和J₀(x)滤波系数法的计算步骤以及为提高精度所采取的技术措施,并且给出了一批用两种方法所得到的计算结果。

Abstract:

To meet the requirements in earthquake research by means of earth resistivity, the methods of calculating apparent resistivity of horizontal layered medium with high accuracy have been developed. The methods by series summation and numerical integral as well as J₀ (x)-and J₁ (x)fielter are dealt with in detail and compared with each other. The kernel function in the integral and filter methods was briefly discussed in the paper also.