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《Chinese Journal of Geophysics》 1986-01
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A NUMERICAL METHOD FOR SOLVING ELECTRIC FIELD OF POINT SOURCE ON A LAYERED MODEL WITH LINEAR CHANGE OF CONDUCTIVITY IN EACH LAYER

XU SHI-ZHE (Shandong College of Oceanology)  
First, the 2-D boundary value problem o electric field of point source on a layered model with linear change of conductivity is given in cylindrical coordinate system. Then, the boundary value problem is converted into a variational equation by the variation method. We solve the variation equation by means of the finite element method. Dividing the entire region into many rectangular elements and interpolating with a bilinear function in each element. The variation equation is converted into a linear algebric equation system. Solving the equation system, we can obtain the electric potential value on nodes. According to these value, the apparent resistivity on ground surface can be calculated.The calculation example shows that the result calculated by this method is in agreement with the analytic solution. In addition, this paper gives an example of quantitative analysis of the annual variation of apparent resistivity.The capacity of memory needed for this method is about 100 K. The runtime for calculating a sounding curve on super smallcomputer MV/6000 is about several tens of seconds.
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