中文摘要：

边界元算法是一种计算量小，方便有效的处理开域电、磁场的数值模拟方法，被广泛应用于电法勘探正演领域．本文详述了用边界元算法对电法勘探中电、磁场进行的正演数值模拟，包括稳定电流场的直流电剖面法、直流电测深法和充电法，大地电磁场和人工源谐变电磁场．其中涉及了2D、3D地电体的正演计算和地形校正．对于目前应用广泛的人工源电磁法的3D边界元数值模拟，提出了六点具体的研究发展方向，希望对今后研究有一定帮助．

英文摘要：

The boundary element method is widely applied to the forward computation in electrical prospecting. It can be used to deal with open domain electro-magnetic fields effectively with small computation quantity. Combining with the researches of scholars both at home and abroad, we introduce the forward numerical computation of electromagnetic fields in electrical prospecting, including the stable electric current field which relates to dc electrical profiling, de electric sounding and charging method, MT and artificial source harmonic electromagnetic field. The work is about the forward computation of 2D and 3D geo-electrical bodies, as well as the terrain correction. Six study directions are suggested for the modelling of the 3D artificial source electromagnetic field, we hope they may be helpful.