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2.5D Regularized Gravity Data Inversion for the Detection of Faults in Basement Rocks
We have developed a basement fault detection technique (the so-called NVDTH) enhanced by regularized inversion of gravity data to improve the...
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Large-Scale Inversion of Magnetotelluric Data Using Regularized Gauss–Newton Method in the Data Space
This paper develops a regularized method of 3D inversion of magnetotelluric (MT) data using the Gauss–Newton algorithm in the data space. This...
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Joint Minimum Entropy Inversion
In this chapter, we consider an approach to joint inversion, which requires the minimum of joint entropy in the distribution of different model...
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Frequency Division Regularization Inversion of the Receiver Function
The receiver function technique was developed in the 1970s and has since become an effective method for exploring the Earth’s crust and upper mantle...
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1D regularization inversion combining particle swarm optimization and least squares method
For geophysical inversion problems, deterministic inversion methods can easily fall into local optimal solutions, while stochastic optimization...
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The Slope-Attribute-Regularized High-Resolution Prestack Seismic Inversion
Prestack seismic inversion can be regarded as an optimization problem, which minimizes the error between the observed and synthetic data under the...
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Joint inversion of full-tensor gravity gradiometry data based on source growing
Three-dimensional inversion based on source growing uses systematic searches. Compared with the regularization inversion, this method has lower...
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Machine Learning Inversion of Multiphysics Data
In this Chapter, we discuss the application of machine learning methods to the solution of the inverse problem. Considering that machine learning...
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DC resistivity inversion constrained by magnetic method through sequential inversion
In the inversion of geophysical data, an attempt is made to obtain a model with the best fit on the observed data. Unfortunately, the results are...
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Joint Focusing Inversion of Multiphysics Data
This chapter discusses the method of joint structural inversion based on joint focusing stabilizers. A family of joint focusing stabilizers is...
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Modeling and Inversion of Potential Field Data
This chapter illustrates the inversion methods discussed in the book by joint inversion of potential field geophysical data. Methods of forward...
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Probabilistic Approach to Gramian Inversion
The meaning of Gramian and its role in the joint inversion are explained using a probabilistic approach to inverse problem solution. We introduce a...
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Estimation of the efficiency of unbiased predictive risk estimator in the inversion of 2D magnetotelluric data
Tikhonov Regularization is the most widely used method for geophysical inversion problems. The result of previous and current research has shown that...
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Machine Learning in the Context of Inversion Theory
This chapter reviews the basic ideas of Artificial Intelligence (AI) and Machine Learning (ML) methods. The similarities and differences between the...
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Robust inversion of 1D magnetotelluric data using the Huber loss function
In this study, a robust 1D inversion was performed on magnetotelluric (MT) data by utilizing the Huber loss function to avoid misleading...
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Joint Inversion Based on Structural Similarities
An important approach to joint inversion is based on enforcing the structural similarity between different images of the target. This chapter...
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Gradient-Type Methods of Nonlinear Inversion
This chapter presents a detailed description of the main methods for solving nonlinear inverse problems based on iterative minimization of the misfit...
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Iterative geostatistical electrical resistivity tomography inversion
Electrical resistivity tomography (ERT) is a geophysical method used to create an image of the subsurface due to its sensitivity to porosity, water...
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3D Neural Network Inversion of Field Geoelectric Data with Calculating Posterior Estimates
Abstract —The approximation neural network (ANN) method for solving the inverse geoelectric problem in the piecewise constant classes of media with...
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Bayesian seismic AVO inversion with a group optimization strategy
The seismic amplitude-versus-offset (AVO) inversion based on the Bayesian framework is effective for obtaining the elastic parameters of the stratum...
