Physics

Geology

Inverse problem

Meteorology

Inversion (geology)

Mathematics

Algorithm

Statistical physics

Mathematical analysis

Inverse transform sampling

Physical law

Seismology

Inverse

Geometry

Aerosol

Quantum mechanics

Tectonics

Applied mathematics

Petroleum Exploration and Development

A linearized rock physics inversion method is proposed to deal with two important issues, rock physical model and inversion algorithm, which restrict the accuracy of rock physics inversion. In this method, first, the complex rock physics model is expanded into Taylor series to get the first-order approximate expression of the inverse problem of rock physics; then the damped least square method is used to solve the linearized rock physics inverse problem directly to get the analytical solution of the rock physics inverse problem. This method does not need global optimization or random sampling, but directly calculates the inverse operation, with high computational efficiency. The theoretical model analysis shows that the linearized rock physical model can be used to approximate the complex rock physics model. The application of actual logging data and seismic data shows that the linearized rock physics inversion method can obtain accurate physical parameters. This method is suitable for linear or slightly non-linear rock physics model, but may not be suitable for highly non-linear rock physics model.

Prediction method of physical parameters based on linearized rock physics inversion