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本文应用边界元数值计算法对全空间中空腔内壁点电源场的电位求解。并将其有效地应用于井下电阻率法三维模拟计算中，从理论上给出了巷道电阻率法中正常背景场与异常场的某些基本规律以及实际资料解释中所需注意的问题。
In this paper, the boundary element numerical calculation method is used to solve the potential of the power supply field in the inner wall of hollow cavity in full space. The method is applied to 3D simulation of downhole resistivity method. Some basic laws of normal background field and anomaly field in the resistivity method of tunnel are given theoretically and the problems to be noticed in the actual data interpretation are given.