# A dual‐grid nonlinear inversion technique with applications to the interpretation of dc resistivity data

@article{TorresVerdn2000ADN, title={A dual‐grid nonlinear inversion technique with applications to the interpretation of dc resistivity data}, author={Carlos Torres‐Verd{\'i}n and Vladimir Druskin and Sheng Fang and Leonid A. Knizhnerman and Alberto Malinverno}, journal={Geophysics}, year={2000}, volume={65}, pages={1733-1745} }

We develop a solution to the nonlinear inverse problem via a cascade sequence of auxiliary least‐squares minimizations. The auxiliary minimizations are nonlinear inverse problems themselves, except that they are implemented with an approximate forward problem that is at least an order of magnitude faster to solve than the algorithm used to simulate the measurements. Any given auxiliary minimization in the cascade is fully selfcontained and yields a solution of the unknown model parameters. This…

## 29 Citations

An enhanced Gauss-Newton inversion algorithm using a dual-optimal grid approach

- Computer ScienceIEEE Transactions on Geoscience and Remote Sensing
- 2006

Two algorithms for solving the nonlinear electromagnetic inversion problem in the Earth are developed that employ the Gauss-Newton inversion method and the so-called optimal grid technique to speed up the inversion's computational time.

Numerical Simulation and Inversion of Pressure Data Acquired With Permanent Sensors

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A new axisymmetric solution for the numerical simulation of single-phase fluid flow in permeable media and an efficient algorithm to quantify the sensitivity of permanent pressure data to lateral and vertical variations in the distribution of permeability around the injection well is constructed.

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A novel adaptive inversion technique: Data-adaptive Spatial Resolution Inversion (DSRI) method, which eliminates the need to select parameterization prior to inversion, and which constitutes a robust technique for efficient multiparameter inversion of multicomponent electromagnetic measurements.

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Inversion methods have become increasingly important to estimate formation resistivity from borehole electromagnetic (EM) measurements. Recent advances in hardware computer resources as well as the…

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We have developed a new method of cascade threedimensional (3-D) magnetotelluric (MT) inversion which combines the advantages of the rigorous and approximate methods. As the main engine of the…

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A practical method for inverting static-shifted magnetotelluric (MT) data to produce a 3-D resistivity model is presented. Static-shift parameters are incorporated into an iterative, linearized…

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Probe-type formation testers are often used to estimate permeability and permeability anisotropy from pressure transient measurements. The interpretation of these measurements is not trivial in the…

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