Abstract

In this chapter, we will study the response of induction and logging-while-drilling (LWD) resistivity logging tools in homogeneous lossy formations. As we know, in induction and LWD resistivity logging tools, the transmitter and receiver coils are of finite dimensions. However, compared with the skin depth, these antennas are electrically small. To simplify the solutions, in the analysis below, we use a magnetic dipole to replace the antennas. Therefore the coil antennas can be simplified as equivalent magnetic dipoles without much loss of accuracy. Therefore the solutions to the response of induction or LWD logging tools in homogeneous lossy media is converted to the electromagnetic field generated by magnetic dipoles in homogeneous lossy media.

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