![]() Analyzing several configurations of the current source indicated that the casing response is influenced by four characteristic factors: conduction length, current source depth,casing depth, and casing length. The E-field volume IE method is an effective and efficient more ยป technique to simulate the response of the casing in a half-space, whereas the surface potential approach is computationally better when multiple bodies are involved. The numerical analysis revealed that the current in the casing can be approximated by its vertical component except near the source and the axial symmetric approximation of the casing is valid even for the 3-D problem. The methods of moments is used to solve the Fredholm integral equation of the second kind for the response due to the casing and other bodies. The solution of the 3-D Green's function is presented in cylindrical and Cartesian coordinate systems. The situations involving off-axis current sources and three-dimensional (3-D) bodies is formulated using the surface potential IE method. For sources located along the casing axis, an axially symmetric Green's function is used to formulate the surface potential and electric field (E-field) volume integral equations. The casing and other bodies are characterized as conductivity inhomogeneities in a half-space. ![]() ![]() The resistivity method in cased boreholes with downhole current sources is investigated using the integral equation (IE) technique. The purpose of this work is to examine the resistivity method for current sources in wells cased with steel. The use of downhole current sources in resistivity mapping can greatly enhance the detection and delineation of subsurface features. ![]()
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