Mathematical Modeling and Numerical Methods for Induction Logging Applications

Magnetic induction tools are used widely in the oil-field service industry to determine the spatial distribution of resistivity in geological formations. Each tool is 2 – 3 m in length and contains transmitting and receiving magnetic dipoles. The tool is inserted into a well and is pulled through it; during this process the tool responses (the magnetic field at receivers) are being logged. Results then are interpreted as follows: a parametric medium model is prescribed, and its parameters are selected so that the modeled tool responses closely parallel real logs. This process demands the numerical simulation of tools in a chosen medium model.