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本文共分六部分内容。在前言中,简述了电测深方面有关研究的情况,尤其叙述了E.S.Sampaio(1976)的结果。 因本文采用的方法不同,从而求解了适合要求的微分方程定解问题,获得了电导率以 (其中α、σ_0、σ_1均为正实数,β为实数)按深度变化时势的分布。 其次,当β=0时,对电导率σ=(σ_0+σ_1z)~α按深度变化时势的分布,应用Bessel函数的积分表达时,明显地改进和推广了E.S.Sampaio(1976)结果中的重要部分。 最后,结合实际作出了第一类、第二类标准化视电阻率函数。这种视电阻率函数,推广了Wenner和Schlumberger分别作出的视电阻率函数的有关部分,对电阻率法和激发极化法,都有其理论价值和实际意义。
This article is divided into six parts. In the preface, a brief account of relevant studies on electrical sounding is given, in particular the results of E.S. Sampaio (1976). Because of the different methods used in this paper, we solve the problem of solving the differential equations with the proper requirements, and obtain the distribution of the electrical conductivity in the depth (where α, σ_0, σ_1 are positive real numbers and β is real numbers). Secondly, when β = 0, the integral of Bessel function is applied to the distribution of electric conductivity σ = (σ_0 + σ_1z) ~ α in depth, which is obviously improved and generalized by ESSampaio (1976) section. Finally, combined with the actual made of the first category, the second category of standardized apparent resistivity. This apparent resistivity function generalizes the relevant parts of the apparent resistivity function respectively made by Wenner and Schlumberger. Both of them have theoretical value and practical significance for the resistivity method and the induced polarization method.