摘要
修正的毕奥-沙伐尔定律完全适用于任意起伏地形的情况。任意地形点电源地下传导电流产生的磁场,可以写成传导电流的电位在地形边界面上的面积分形式。若为二度地形,沿其走向作一维富氏变换,可把面积分形式转换成波数域的线积分形式。利用有限单元法、有限差分法等数值计算方法可以计算任意地形传导电流的磁场。
The modified Biot-Savart theorem is perfectly suitable to arbitrarilyundulatory topography. The expressions of magnetic fields associated withthe non-inductive current of point source are derived in arbitrarily undulatorytopography. Under the condition of arbitrary 3-D topography, the magneticfields can be written as a surface integral of electrical potential over thewhole boundary surface of the topography, whereas in the case of arbitrary2-D topography, this surface integral can be changed into a line integalin wavenumber domain by means of the Fourier transformation along thestrike direction of the topography, The numerical calculation methodssuch as the finite element method and the integral equation method may beutilized to calculate the magnetic fields.
关键词
地形
校正
磁电阻率法
地形点
电源
point source
magnetic field
electric potential
topographical correction/magnetometric resistivity
modified Biot-Savart law
non-inductive current
