Joint Inversion Based on Analytical and Statistical Relationships Between Different Physical Properties

Abstract

This chapter discusses the general concepts of joint inversion of multiphysics data. The mathematical formulation of the multimodal inverse problem is provided, which serves as a basis for joint inversion methods introduced in the book. We consider the cases of joint inversion when the known functional relationships exist between different model parameters. We also examine the cases of inversion of multiphysics data with different resolution capabilities. The principles of subspace representation of the model parameters and subspace inversion with resampling are also introduced.