| 关于非均匀介质中电导率按深度变化时的势及其视电阻率函数 |
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| 引用本文： | 邓本让.关于非均匀介质中电导率按深度变化时的势及其视电阻率函数[J].地球物理学报,1981,24(1):77-85. |
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| 作者姓名： | 邓本让 |
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| 作者单位： | 长春地质学院 |
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| 摘 要： | 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、σ0、σ1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=（σ0+σ1z）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。
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| 关 键 词： | 视电阻率 非均匀介质 深度变化 电导率 待定函数 三极排列 半空间 异常场 对应部分 类标准 |
| 收稿时间： | 1979-06-05 |
ON THE POTENTIAL AND THE APPARENT RESISTIVITY FUNCTION IN AN INHOMOGENEOUS MEDIUM WHOSE CONDUCTIVITY VARYING WITH DEPTH |
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| DENG BEN-BANG.ON THE POTENTIAL AND THE APPARENT RESISTIVITY FUNCTION IN AN INHOMOGENEOUS MEDIUM WHOSE CONDUCTIVITY VARYING WITH DEPTH[J].Chinese Journal of Geophysics,1981,24(1):77-85. |
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| Authors: | DENG BEN-BANG |
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| Institution: | Changchun Geological Institute |
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| Abstract: | We started out by finding the exact solution of the differential equation of the problem. The potential distribution is obtained for the medium with conductivity varying with depth as: σ = （σ0 + σ1z）αeβz （where α, σ0, σ1 are positive real unmbers, β is a real number）. Then, the potential distribution is obtained when the conductivity varies with depth according to σ = （σ0 + σ1z）α, （α > 0） as β = 0, which we apply the integration of Bessel function to express it obviously the important part in the result3] of E. S. Sampaio are improved and expanded. Finally, we formed type one and type two normalized apparent resistivity functions, which include the apparent resistivity function of Wenner and Schlumberger as a special case. |
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