Estimating petrophysical parameters and invasion profile using joint induction and pressure data inversion approach

A fluid invasion rate estimation system that estimates fluid invasion rate for portions of a subterranean formation of interest surrounding a borehole, the system comprising:

• at least one electromagnetic transmitter configured to generate electromagnetic signals within the subterranean formation of interest;
• at least one electromagnetic receiver configured to detect the generated electromagnetic signals and to obtain electromagnetic survey data of the subterranean formation of interest, wherein the electromagnetic survey data is representative of an electrical property of the subterranean formation of interest;
• a processor;
• and
• a memory including instructions, that when executed by the processor, cause the fluid invasion rate system to:
• directly invert the electromagnetic survey data for a fluid invasion rate, wherein the inversion is constrained by a fluid flow simulator that simulates a fluid flow process through the formation of interest and that generates simulated fluid flow characteristics;
• and
• generate an estimate of the fluid invasion rate based at least in part on the inversion.