感应测井的高次几何因子

本文应用微扰法求出了感应测井视电导率的各次修正项,证明了各次修正项之和等于视电导率的真实值。用一个特例说明了理论的正确性。与每一次修正项相应,有一个同次的几何因子,其中一次几何因子在特定条件下与Doll的几何因子一致。

HIGH ORDER GEOMETRICAL FACTORS OF INDUCTION LOGGING

In this paper,we have proposed a new concept that the apparent conductivity is the functional of the conductivity and the geometrical factor the functional derivative. Because the functional is not linear,there are geometrical factors of higher orders besides that of first order,the latter being,on a certain condition,the same as that proposed by Doll. By expanding this functional into Taylor series,we get results in which propagation effect is taken into account. The correctness of the theory is verified by a simple example.