Fast Magnetotelluric Joint Inversion of Apparent Resistivity and Phase for Two Dimensional Layered Structure

A two-dimensional layered structure model is constructed. The inversion parameter is the resistivity and bottom depth of each layer. A fast magnetotelluric joint inversion of apparent resistivity and phase for two dimensional layered structure is proposed. The one-dimensional Jacobian matrix is calculated by the RRI( rapid relax inversion) method. The two-dimensional Jacobian matrix is calculated from one-dimensional Jacobian matrix by a set of correction coefficients. In the two-dimensional Jacobian matrix,only the parameters under the site have partial derivatives,others are all zero. A two-dimensional synthetic model of three layers is used to prove the joint inversion of apparent resistivity and phase can converge stably and reduce the non-uniqueness of inversion in a certain extent.