DETERMINING FORMATION PROPERTIES IN A GEOLOGICAL FORMATION USING AN INVERSION PROCESS ON A MODIFIED RESPONSE MATRIX ASSOCIATED WITH A DOWNHOLE TOOL

摘要

A transmitter of a downhole tool inserted in a borehole of a geological formation transmits a first signal. A receiver of the downhole tool receives a second signal, where the second signal is induced by the first signal in the geological formation. A simple response matrix is determined based on the second signal, where the simple response matrix includes a plurality of response components. One or more of the response components are combined and a modified response matrix is formed by replacing one or more of the plurality of response components in the simple response matrix with a linear combination of the response components of the simple response matrix. The modified response matrix is inverted and an indication of formation properties in the geological formation is output.