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  1. Principles of Regularization Theory

    The regularization theory provides the framework for solving the ill-posed inverse problems. In this chapter, we discuss the foundations of the...
    Chapter 2023
  2. An Adaptive Conjugate Gradient Least-Squares Regularization (ACGLSR) Method for 3D Gravity Density Inversion

    Gravimetric inverse modelling of subsurface mass density plays a key role in a gravimetric interpretation of the Earth’s inner structure. The...

    Wen** Chen, Robert Tenzer, ... Simin Zhao in Pure and Applied Geophysics
    Article 23 January 2024
  3. 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...

    Peng Su, ** Yang, LiuYang Xu in Applied Geophysics
    Article 29 March 2023
  4. Comparison of Different Regularization Parameter Estimates: An Application to 1D Joint Inversion of DC Resistivity and CSRMT Data

    The choice of an appropriate regularization parameter enables the correct estimation of model parameters and convergence of an inversion routine. The...

    Sudha Agrahari, Akarsh Singh, ... Priyang Mani Tripathi in Pure and Applied Geophysics
    Article 13 November 2023
  5. Fusion of Ground-Based and Spaceborne Radar Precipitation Based on Spatial Domain Regularization

    High-quality and accurate precipitation estimations can be obtained by integrating precipitation information measures using ground-based and...

    Anfan Huang, Leilei Kou, ... Zhigang Chu in Journal of Meteorological Research
    Article 01 April 2024
  6. The Tikhonov-L-curve regularization method for determining the best geoid gradients from SWOT altimetry

    The Surface Water and Ocean Topography (SWOT) mission generates dense altimetry data that, when used in geoid gradient component estimations through...

    Daocheng Yu, Cheinway Hwang, ... Sihao Ge in Journal of Geodesy
    Article Open access 28 October 2023
  7. WTCRNet: a wavelet transform and contrastive regularization network for sonar denoising by self-supervision

    In the field of underwater acoustics, forward-looking sonar represents a pivotal tool for acquiring subaqueous imagery. However, this technique is...

    Chengling Si, Shu Zhang, ... Junyu Dong in Intelligent Marine Technology and Systems
    Article Open access 24 June 2024
  8. An analysis and comparison of automated methods for determining the regularization parameter in the three-dimensional inversion of gravity data

    The processing of potential field datasets requires many steps; one of them is the inverse modeling of potential field data. Using a measurement...

    Meysam Moghadasi, Ali Nejati Kalateh, ... Yaser Dehban in Acta Geophysica
    Article 18 April 2024
  9. A New Fully Implicit Two-Phase Pore-Network Model by Utilizing Regularization Strategies

    In this paper, we address the expensive computational cost resulting from limited time-step sizes during numerical simulations of two-phase flow in...

    Hanchuan Wu, Maziar Veyskarami, ... Rainer Helmig in Transport in Porous Media
    Article Open access 17 October 2023
  10. 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...

    Chong** Zhao, Peng Yu, ... Jun Guo in Pure and Applied Geophysics
    Article 14 December 2022
  11. Optimal selection of regularization parameter in magnetotelluric data inversion

    Inversion of magnetotelluric data is known as a nonlinear and ill-posed problem. To obtain meaningful and unique results, Tikhonov's regularization...

    Aref Zainalpour, Gholamreza Kamali, Ali Moradzadeh in Acta Geodaetica et Geophysica
    Article 02 April 2022
  12. Regularized integer least-squares estimation: Tikhonov’s regularization in a weak GNSS model

    The strength of the GNSS precise positioning model degrades in cases of a lack of visible satellites, poor satellite geometry or uneliminated...

    Zemin Wu, Shaofeng Bian in Journal of Geodesy
    Article 28 March 2022
  13. Undersea Buried Pipeline Reconstruction Based on the Level Set and Inverse Multiquadric Regularization Method

    The electric inversion technique reconstructs the subsurface medium distribution from acquired data. On the basis of electric inversion, objects...

    Wen**g Shang, Wei Xue, ... Yingsong Li in Journal of Ocean University of China
    Article 18 January 2022
  14. An effective estimate for selecting the regularization parameter in the 3D inversion of magnetotelluric data

    The magnetotelluric (MT) inverse problem is a nonlinear and strongly ill-posed problem. Therefore, to avoid the problem of non-uniqueness of...

    Reza Ghaedrahmati, Ali Moradzadeh, Farzad Moradpouri in Acta Geophysica
    Article 24 February 2022
  15. Interpolation of Irregularly Sampled Noisy Seismic Data with the Nonconvex Regularization and Proximal Method

    Seismic data interpolation is an essential tool for providing complete seismic data when field data are incomplete due to the influence of obstacles,...

    **g-Jie Cao, Gang Yao, Nuno V. da Silva in Pure and Applied Geophysics
    Article 10 January 2022
  16. Unsupervised seismic data deblending based on the convolutional autoencoder regularization

    Simultaneous source technology can provide high-quality seismic data with lower acquisition costs. However, a deblending algorithm is needed to...

    Yaru Xue, Yuyao Chen, ... Chong Chen in Acta Geophysica
    Article 22 April 2022
  17. Pre-Stack Seismic Inversion With L1-2-Norm Regularization Via A Proximal DC Algorithm And Adaptive Strategy

    Abstract

    Seismic inversion in geophysics is an effective way to obtain underground rock properties from seismic survey data on the Earth’s surface. In...

    Guoquan Wang, Shuangquan Chen in Surveys in Geophysics
    Article 22 August 2022
  18. Regularization of the Solution of the Inverse VES Problem by the Contrast Stabilization Method: Testing the Algorithm on Model Data

    Abstract

    Earlier, it was shown that conventional algorithms for solving the inverse VES problem cannot achieve the accuracy required for precision...

    A. A. Bobachev, A. V. Deshcherevskii, A. Ya. Sidorin in Seismic Instruments
    Article 30 September 2022
  19. Analysis of Flow Behavior as Influenced by Reservoir with Flow Regularization

    Understanding the behavior of reservoirs with flow regularization formed by hydroelectric power plants is essential for assessing water availability....

    Tarcila Neves Generoso, Demetrius David da Silva, ... Laura Thebit de Almeida in Water Resources Management
    Article 10 August 2022
  20. 3D inversion of gravity data using mixed Lp–Lq norm regularization, a case study for potash targeting at the Ghare-Aghaj deposit in Iran

    The Ghare-Aghaj potash resource is one of the largest halokinetic-type potash-bearing salt deposits in the northern part of the central Iran zone,...

    Bardiya Sadraeifar, Maysam Abedi in Carbonates and Evaporites
    Article 19 May 2024
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