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Journal articles on the topic 'Inversion methods'

Author: Grafiati

Published: 10 March 2023

Last updated: 19 July 2025

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1

Thompson, M. J. "Inversion Methods." Symposium - International Astronomical Union 185 (1998): 125–34. http://dx.doi.org/10.1017/s0074180900238448.

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I want to start by addressing the question, ‘What is inversion?’ My answer would be that inversion is the process of going from data to making inferences about the object under study. In the case of helioseismology, the data at the present time are principally the mode frequencies, and the object under study is the solar interior.

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Tang, J., and Q. Zhuang. "Technical Note: Methods for interval constrained atmospheric inversion of methane." Atmospheric Chemistry and Physics Discussions 10, no. 8 (2010): 19981–20004. http://dx.doi.org/10.5194/acpd-10-19981-2010.

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Abstract. Three interval constrained methods, including the interval constrained Kalman smoother, the interval constrained maximum likelihood ensemble smoother and the interval constrained ensemble Kalman smoother are developed to conduct inversions of atmospheric trace gas methane (CH4). The negative values of fluxes in an unconstrained inversion are avoided in the constrained inversion. In a multi-year inversion experiment using pseudo observations derived from a forward transport simulation with known fluxes, the interval constrained fixed-lag Kalman smoother presents the best results, foll

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3

Argyros, Ioannis K., Santhosh George, Stepan Shakhno, Samundra Regmi, Mykhailo Havdiak, and Michael I. Argyros. "Asymptotically Newton-Type Methods without Inverses for Solving Equations." Mathematics 12, no. 7 (2024): 1069. http://dx.doi.org/10.3390/math12071069.

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The implementation of Newton’s method for solving nonlinear equations in abstract domains requires the inversion of a linear operator at each step. Such an inversion may be computationally very expensive or impossible to find. That is why alternative iterative methods are developed in this article that require no inversion or only one inversion of a linear operator at each step. The inverse of the operator is replaced by a frozen sum of linear operators depending on the Fréchet derivative of an operator. The numerical examples illustrate that for all practical purposes, the new methods are as

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Korda, David, Michal Švanda, and Junwei Zhao. "Comparison of time–distance inversion methods applied to SDO/HMI Dopplergrams." Astronomy & Astrophysics 629 (September 2019): A55. http://dx.doi.org/10.1051/0004-6361/201936268.

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Context. The Helioseismic and Magnetic Imager (HMI) onboard the Solar Dynamics Observatory (SDO) satellite has been observing the Sun since 2010. The uninterrupted series of Dopplergrams are ideal for studying the dynamics of the upper solar convection zone. Within the Joint Science Operations Center (JSOC) the time–distance inversions for flows and sound-speed perturbations were introduced. The automatic pipeline has produced flow and sound-speed maps every 8 h. We verify the results of JSOC inversions by comparing the data products to equivalent results from inverse modelling obtained by an

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Ming, Yanbo, Guoqing Ma, Taihan Wang, Bingzhen Ma, Qingfa Meng, and Zongrui Li. "Power-Type Structural Self-Constrained Inversion Methods of Gravity and Magnetic Data." Remote Sensing 16, no. 4 (2024): 681. http://dx.doi.org/10.3390/rs16040681.

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The inversion of gravity and magnetic data can obtain the density and magnetic structure of underground space, which provide important information for resource exploration and geological structure division. The most commonly used inversion method is smooth inversion in which the objective function is built with L2-norm, which has good stability, but it produces non-focused results that make subsequent interpretation difficult. The power-type structural self-constrained inversion (PTSS) method with L2-norm is proposed to improve the resolution of smooth inversion. A self-constraint term based o

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Karimpour, Mohammadkarim, Evert Cornelis Slob, and Laura Valentina Socco. "Physically Constrained 2D Joint Inversion of Surface and Body Wave Tomography." Journal of Environmental and Engineering Geophysics 27, no. 2 (2022): 57–71. http://dx.doi.org/10.32389/jeeg21-031.

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Joint inversion of different geophysical methods is a powerful tool to overcome the limitations of individual inversions. Body wave tomography is used to obtain P-wave velocity models by inversion of P-wave travel times. Surface wave tomography is used to obtain S-wave velocity models through inversion of the dispersion curves data. Both methods have inherent limitations. We focus on the joint body and surface waves tomography inversion to reduce the limitations of each individual inversion. In our joint inversion scheme, the Poisson ratio was used as the link between P-wave and S-wave velocit

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Ursenbach, Charles P., and Robert R. Stewart. "Two-term AVO inversion: Equivalences and new methods." GEOPHYSICS 73, no. 6 (2008): C31—C38. http://dx.doi.org/10.1190/1.2978388.

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Most amplitude-variation-with-offset (AVO) studies use two-parameter inversion methods that are approximations of a more general three-parameter method based on the Aki-Richards approximation. Two-parameter methods are popular because the three-parameter inversion is often plagued by numerical instability. Reducing the dimensionality of the parameter space stabilizes the inversion. A variety of constraints can accomplish this, and these lead to the multiplicity of current two-parameter methods. It would be useful to understand relationships between various two-parameter methods. To this end, w

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Rosa, Daiane R., Juliana M. C. Santos, Rafael M. Souza, et al. "Comparing different approaches of time-lapse seismic inversion." Journal of Geophysics and Engineering 17, no. 6 (2020): 929–39. http://dx.doi.org/10.1093/jge/gxaa053.

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Abstract Time-lapse (4D) seismic inversion aims to predict changes in elastic rock properties, such as acoustic impedance, from measured seismic amplitude variations due to hydrocarbon production. Possible approaches for 4D seismic inversion include two classes of method: sequential independent 3D inversions and joint inversion of 4D seismic differences. We compare the standard deterministic methods, such as coloured and model-based inversions, and the probabilistic inversion techniques based on a Bayesian approach. The goal is to compare the sequential independent 3D seismic inversions and th

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Hicks, Graham J., and R. Gerhard Pratt. "Reflection waveform inversion using local descent methods: Estimating attenuation and velocity over a gas‐sand deposit." GEOPHYSICS 66, no. 2 (2001): 598–612. http://dx.doi.org/10.1190/1.1444951.

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Prestack seismic reflection data contain amplitudes, traveltimes, and moveout information; waveform inversion of such data has the potential to estimate attenuation levels, reflector depths and geometry, and background velocities. However, when inverting reflection data, strong nonlinearities can cause reflectors to be incorrectly imaged and can prevent background velocities from being updated. To successfully recover background velocities, previous authors have resorted to nonlinear, global search inversion techniques. We propose a two‐step inversion procedure using local descent methods in w

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Brinza, Melen, Andra Grigore, Mihaela Dragomir, et al. "Large Intron Inversions in Romanian Patients with Hemophilia A—First Report." Medicina 59, no. 10 (2023): 1821. http://dx.doi.org/10.3390/medicina59101821.

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Background and Objectives: Despite the vast heterogeneity in the genetic defects causing hemophilia A (HA), large intron inversions represent a major cause of disease, accounting for almost half of the cases of severe HA worldwide. We investigated the intron 22 and intron 1 inversion status in a cohort of Romanian unrelated patients with severe HA. Moreover, we evaluated the role of these inversions as relative risk factors in inhibitor occurrence. Materials and Methods: Inverse shifting—a polymerase chain reaction method was used to detect the presence of intron 22 and intron 1 inversions in

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11

Chapman, Ross. "Inference of geoacoustic model parameters from acoustic field data: Perspectives on Geoacoustic Inversion." Journal of the Acoustical Society of America 155, no. 3_Supplement (2024): A216. http://dx.doi.org/10.1121/10.0027352.

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Estimation of parameters of geoacoustic models from acoustic field data has been a central research theme in acoustical oceanography and ocean acoustics. During the past several decades, highly efficient numerical inversion techniques have been developed that provide model parameter estimates and their uncertainties based on statistical inference methods. However, the methods are model-based and the inversions are prone to errors related to model mismatch. In any event, the inversions can generate only effective models of the true structure of the ocean bottom, which is generally highly variab

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Liu, Hongxing, Jingye Li, Xiaohong Chen, Bo Hou, and Li Chen. "Amplitude variation with offset inversion using the reflectivity method." GEOPHYSICS 81, no. 4 (2016): R185—R195. http://dx.doi.org/10.1190/geo2015-0332.1.

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Most existing amplitude variation with offset (AVO) inversion methods are based on the Zoeppritz’s equation or its approximations. These methods assume that the amplitude of seismic data depends only on the reflection coefficients, which means that the wave-propagation effects, such as geometric spreading, attenuation, transmission loss, and multiples, have been fully corrected or attenuated before inversion. However, these requirements are very strict and can hardly be satisfied. Under a 1D assumption, reflectivity-method-based inversions are able to handle transmission losses and internal mu

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Rigola, Maria A., Neus Baena, Vicenç Català, et al. "A 11.7-Mb Paracentric Inversion in Chromosome 1q Detected in Prenatal Diagnosis Associated with Familial Intellectual Disability." Cytogenetic and Genome Research 146, no. 2 (2015): 109–14. http://dx.doi.org/10.1159/000437127.

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Most apparent balanced chromosomal inversions are usually clinically asymptomatic; however, infertility, miscarriages, and mental retardation have been reported in inversion carriers. We present a small family with a paracentric inversion 1q42.13q43 detected in routine prenatal diagnosis. Molecular cytogenetic methods defined the size of the inversion as 11.7 Mb and excluded other unbalanced chromosomal alterations in the patients. Our findings suggest that intellectual disability is caused by dysfunction, disruption, or position effects of genes located at or near the breakpoints involved in

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Um, Evan Schankee, Michael Commer, and Gregory A. Newman. "A strategy for coupled 3D imaging of large-scale seismic and electromagnetic data sets: Application to subsalt imaging." GEOPHYSICS 79, no. 3 (2014): ID1—ID13. http://dx.doi.org/10.1190/geo2013-0053.1.

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Offshore seismic and electromagnetic (EM) imaging for hydrocarbons can require up to tens of millions of parameters to describe the 3D distribution of complex seabed geology and relevant geophysical attributes. The imaging and data volumes for such problems are enormous. Descent-based methods are the only viable imaging approach, where it is often challenging to manage the convergence of stand-alone seismic and EM inversion experiments. When a joint seismic-EM inversion is implemented, convergence problems with descent-based methods are further aggravated. Moreover, resolution mismatches betwe

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15

Poroshina, N. I., and V. M. Ryabov. "Methods for laplace transform inversion." Vestnik St. Petersburg University: Mathematics 44, no. 3 (2011): 214–22. http://dx.doi.org/10.3103/s1063454111030071.

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16

Johnson, Lane. "Methods and Applications of Inversion." Eos, Transactions American Geophysical Union 81, no. 52 (2000): 645. http://dx.doi.org/10.1029/eo081i052p00645-03.

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17

Chapman, Ross. "Assessment of geoacoustic inversion methods." Journal of the Acoustical Society of America 131, no. 4 (2012): 3240. http://dx.doi.org/10.1121/1.4708090.

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18

Scalzo, Richard, David Kohn, Hugo Olierook, et al. "Efficiency and robustness in Monte Carlo sampling for 3-D geophysical inversions with Obsidian v0.1.2: setting up for success." Geoscientific Model Development 12, no. 7 (2019): 2941–60. http://dx.doi.org/10.5194/gmd-12-2941-2019.

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Abstract. The rigorous quantification of uncertainty in geophysical inversions is a challenging problem. Inversions are often ill-posed and the likelihood surface may be multi-modal; properties of any single mode become inadequate uncertainty measures, and sampling methods become inefficient for irregular posteriors or high-dimensional parameter spaces. We explore the influences of different choices made by the practitioner on the efficiency and accuracy of Bayesian geophysical inversion methods that rely on Markov chain Monte Carlo sampling to assess uncertainty using a multi-sensor inversion

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Song, Yang, Rui Hu, Quan Liu, et al. "Comparison of Hydraulic Travel Time and Attenuation Inversions, Thermal Tracer Tomography and Geostatistical Inversion for Aquifer Characterization: A Numerical Study." Water 15, no. 13 (2023): 2401. http://dx.doi.org/10.3390/w15132401.

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For the characterization of heterogeneous aquifers, transient hydraulic tomography (THT) was proposed as a promising method to obtain the distribution of hydraulic parameters with satisfying spatial resolution using different approaches. These include hydraulic travel time, attenuation inversions, thermal tracer tomography, and geostatistical inversion with successive linear estimator (SLE). For the same hydrogeological test, different inversion methods tend to use different sub-data sets to obtain different hydraulic parameters. Up to now, however, few studies have focused on revealing the re

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Bai, Jianyong, David Yingst, Robert Bloor, and Jacques Leveille. "Viscoacoustic waveform inversion of velocity structures in the time domain." GEOPHYSICS 79, no. 3 (2014): R103—R119. http://dx.doi.org/10.1190/geo2013-0030.1.

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Because of the conversion of elastic energy into heat, seismic waves are attenuated and dispersed as they propagate. The attenuation effects can reduce the resolution of velocity models obtained from waveform inversion or even cause the inversion to produce incorrect results. Using a viscoacoustic model consisting of a single standard linear solid, we discovered a theoretical framework of viscoacoustic waveform inversion in the time domain for velocity estimation. We derived and found the viscoacoustic wave equations for forward modeling and their adjoint to compensate for the attenuation effe

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21

Luan, Xiaodong, Qingyun Di, Guoqing Xue, and Bin Chen. "Ground-wire Source TEM 3D Full Time Multinary Inversion Using Adaptive Regulation." Journal of Environmental and Engineering Geophysics 25, no. 3 (2020): 403–13. http://dx.doi.org/10.32389/jeeg19-037.

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Ground-wire source transient electromagnetic method (GTEM) provides better investigation ability than loop source TEM at a given noise level and decay time. However, at the present time, the method still stays in the one-dimensional inversion interpretation stage. Since actual geological structures are three-dimensionally distributed, the three-dimensional electromagnetic forward and inversion are crucial for understanding the electromagnetic responses of complex geological structures. Moreover, the traditional 3D smooth inversions of geophysical data have been found to inaccurately reflect sm

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22

Feng, Xuan, Enhedelihai Nilot, Cai Liu, et al. "Joint Inversion of Seismic and Audio Magnetotelluric Data with Structural Constraint for Metallic Deposit." Journal of Environmental and Engineering Geophysics 23, no. 2 (2018): 159–69. http://dx.doi.org/10.2113/jeeg23.2.159.

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Audio magnetotelluric (AMT) and seismic methods are widely used to detect metallic deposits. However, each geophysical method only provides partial information of the underground target. Besides, individual methods have inherent limitations and ambiguity which leads to non-uniqueness when solving the inverse problem. To obtain a more robust and consistent ore deposit model, it is best to integrate different geophysical methods and data types. Towards this effort, we propose a joint inversion algorithm using cross-gradient constraint to build a connection between seismic and AMT data, and simul

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Zheglova, Polina, Peter G. Lelièvre, and Colin G. Farquharson. "Multiple level-set joint inversion of traveltime and gravity data with application to ore delineation: A synthetic study." GEOPHYSICS 83, no. 1 (2018): R13—R30. http://dx.doi.org/10.1190/geo2016-0675.1.

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We have developed a multiple level-set method for simultaneous inversion of gravity and seismic traveltime data. The method recovers the boundaries between regions with distinct physical properties assumed constant and known, creating structurally consistent models of two subsurface properties: P-wave velocity and density. In single level-set methods, only two rock units can be considered: background and inclusion. Such methods have been applied to examples representing various geophysical scenarios, including in the context of joint inversion. In multiple level-set methods, several units can

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Dumont, Quentin, Valérie Cayol, and Jean-Luc Froger. "Mitigating bias in inversion of InSAR data resulting from radar viewing geometries." Geophysical Journal International 227, no. 1 (2021): 483–95. http://dx.doi.org/10.1093/gji/ggab229.

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SUMMARY InSAR data acquired from ascending and descending orbits are often characterized by different magnitudes of the observed line-of-sight displacements, which may potentially bias inverse models. Using synthetic numerical models of dyke intrusions, we show that biased solutions are obtained when carrying out ‘conventional’ inversions where only observation and modelling errors are taken into consideration. To mitigate the impact of the relative magnitudes of the data, we propose two methods: a covariance weighting inversion and a wrapped data inversion. These methods are compared to a con

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Xu, Yikang, Zhaohua Sun, Wei Gu, Wangping Qian, Qiangru Shen, and Jian Gong. "Three-dimensional inversion analysis of transient electromagnetic response signals of water-bearing abnormal bodies in tunnels based on numerical characteristic parameters." Mathematical Biosciences and Engineering 20, no. 1 (2022): 1106–21. http://dx.doi.org/10.3934/mbe.2023051.

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<abstract> <p>The transient electromagnetic inversion of detection signals mainly depends on fast inversion in the half-space state. However, the interpretation results have a certain degree of uncertainty and blindness, so the accuracy and applicability of the three-dimensional full-space inversion need to be investigated. Two different three-dimensional full-space inversions were carried out. First, the numerical characteristic parameters of the response signals were extracted. Then, the correlations between the numerical characteristic parameters and physical parameters of the w

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Shin, Changsoo, and Wansoo Ha. "A comparison between the behavior of objective functions for waveform inversion in the frequency and Laplace domains." GEOPHYSICS 73, no. 5 (2008): VE119—VE133. http://dx.doi.org/10.1190/1.2953978.

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In the frequency domain, gradient-based local-optimization methods of waveform inversions have been unsuccessful at inverting subsurface parameters without an accurate starting model. Such methods could not correct automatically for poor starting models because multiple local minima made it difficult to approach the true global minimum. In this study, we compared the behavior of objective functions in the frequency and Laplace domains. Wavefields in the Laplace domain correspond to the zero-frequency component of a damped wavefield; thus, the Laplace-domain waveform inversion can image smooth

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Sun, Mingchen, Qinglin Zhu, Xiang Dong, Bin Xu, Hong-Guang Wang, and Xuan Cheng. "Comparative Analysis of Starlight Occultation Data Processing." Atmosphere 14, no. 12 (2023): 1818. http://dx.doi.org/10.3390/atmos14121818.

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In order to improve the inversion accuracy of stellar occultation data and to provide a reference for the selection of inversion methods with higher accuracy in the future, this study compared and analyzed the inversion effects of two different methods on the same set of data, which are the effective cross-section method and the onion-peeling method, respectively. Firstly, the inversion principle of the effective cross-section method is introduced in detail. The regularisation parameters and screening conditions for the observation data in the inversion process were clarified based on the ozon

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Luo, Yi, Yue Ma, Yan Wu, Hongwei Liu, and Lei Cao. "Full-traveltime inversion." GEOPHYSICS 81, no. 5 (2016): R261—R274. http://dx.doi.org/10.1190/geo2015-0353.1.

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Many previously published wave-equation-based methods, which attempt to automatically invert traveltime or kinematic information in seismic data or migrated gathers for smooth velocities, suffer a common and severe problem — the inversions are involuntarily and unconsciously hijacked by amplitude information. To overcome this problem, we have developed a new wave-equation-based traveltime inversion methodology, referred to as full-traveltime (i.e., fully dependent on traveltime) inversion (FTI), to automatically estimate a kinematically accurate velocity model from seismic data. The key idea o

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Yang, Jun, Xin Huang, Liangjun Yan, and Xiaoyue Cao. "Three-Dimensional Separate and Joint Inversions of Multi-Component Frequency-Domain Airborne Electromagnetic Data: Synthetic Model Studies." Sensors 23, no. 15 (2023): 6842. http://dx.doi.org/10.3390/s23156842.

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Airborne electromagnetic (AEM) surveys using airborne mobile platforms enable rapid and efficient exploration of areas where groundwork is difficult. They have been widely used in fields such as shallow resource exploration and environmental engineering. Three-dimensional AEM inversion is the main technique used in fine structural interpretation. However, most current methods focus on separate component data inversions, which limit the kinds of structures that can be recovered in the inversion results. To address this issue, a method for the robust 3D joint inversion of multicomponent frequenc

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Contreras, Arturo, Andre Gerhardt, Paul Spaans, and Matthew Docherty. "Characterization of fluvio-deltaic gas reservoirs through AVA deterministic, stochastic, and wave-equation-based seismic inversion: A case study from the Carnarvon Basin, Western Australia." Leading Edge 39, no. 2 (2020): 92–101. http://dx.doi.org/10.1190/tle39020092.1.

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Multiple state-of-the-art inversion methods have been implemented to integrate 3D seismic amplitude data, well logs, geologic information, and spatial variability to produce models of the subsurface. Amplitude variation with angle (AVA) deterministic, stochastic, and wave-equation-based amplitude variation with offset (WEB-AVO) inversion algorithms are used to describe Intra-Triassic Mungaroo gas reservoirs located in the Carnarvon Basin, Western Australia. The interpretation of inverted elastic properties in terms of lithology- and fluid-sensitive attributes from AVA deterministic inversion p

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31

Zhang Yu, Yang Xi, Gou Ming-Jiang, and Shi Qing-Fan. "Two inversion methods for electromagnetic scattering." Acta Physica Sinica 59, no. 6 (2010): 3905. http://dx.doi.org/10.7498/aps.59.3905.

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Kimes, D. S., Y. Knyazikhin, J. L. Privette, A. A. Abuelgasim, and F. Gao. "Inversion methods for physically‐based models." Remote Sensing Reviews 18, no. 2-4 (2000): 381–439. http://dx.doi.org/10.1080/02757250009532396.

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33

Ritter, Gerson Luis da Silva. "Water velocity estimation using inversion methods." GEOPHYSICS 75, no. 1 (2010): U1—U8. http://dx.doi.org/10.1190/1.3280232.

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It is known that the propagation velocity of sound waves in water can vary over time. For a 3D seismic survey, if data are acquired in adjacent lines but at different dates, this implies the same reflection point will be recorded at different times. To take this effect into account in seismic processing, it is necessary to measure the sound velocity in water. I have developed a 3D tomographic method that directly estimates it. It assumes a constant sound velocity for a group of shots belonging to a single sail line. Using a picked water-bottom reflection and an initial depth and velocity model

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Kyrion, Tobias, and Graham Alldredge. "Robust inversion methods for aerosol spectroscopy." Inverse Problems in Science and Engineering 25, no. 5 (2016): 710–48. http://dx.doi.org/10.1080/17415977.2016.1191075.

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Dosso, Stan E. "Bayesian inversion methods in ocean geoacoustics." Journal of the Acoustical Society of America 121, no. 5 (2007): 3170–71. http://dx.doi.org/10.1121/1.4782292.

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CROZ, JEREMY J. DU, and NICHOLAS J. HIGHAM. "Stability of Methods for Matrix Inversion." IMA Journal of Numerical Analysis 12, no. 1 (1992): 1–19. http://dx.doi.org/10.1093/imanum/12.1.1.

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Pires, Carlos, and Pedro M. A. Miranda. "Tsunami waveform inversion by adjoint methods." Journal of Geophysical Research: Oceans 106, no. C9 (2001): 19773–96. http://dx.doi.org/10.1029/2000jc000334.

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Pelekanos, George, Aria Abubakar, and Peter M. van den Berg. "Contrast source inversion methods in elastodynamics." Journal of the Acoustical Society of America 114, no. 5 (2003): 2825. http://dx.doi.org/10.1121/1.1618751.

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Chunduru, Raghu K., Mrinal K. Sen, and Paul L. Stoffa. "Hybrid optimization methods for geophysical inversion." GEOPHYSICS 62, no. 4 (1997): 1196–207. http://dx.doi.org/10.1190/1.1444220.

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Local and global optimization algorithms are used commonly in geophysical data inversion. Each type of algorithm has unique advantages and disadvantages. Here we propose several methods of combining the two algorithms such that we can overcome their drawbacks and make use of the salient features of the two methods. In particular, we combined a local conjugate gradient (CG) method with a global very fast simulated annealing (VFSA) approach to solve problems of geophysical interests. We conducted a systematic study to find an efficient strategy to combine CG and VFSA optimization schemes and rec

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Bossy, L. "Accuracy comparison of ionogram inversion methods." Advances in Space Research 14, no. 12 (1994): 39–42. http://dx.doi.org/10.1016/0273-1177(94)90235-6.

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Li, Han, Xu Chang, Jinlai Hao, and Yibo Wang. "The general dislocation source model and its application to microseismic focal mechanism inversion." GEOPHYSICS 86, no. 4 (2021): KS79—KS93. http://dx.doi.org/10.1190/geo2020-0844.1.

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Research on the non-double-couple (NDC) components in an earthquake is important for characterizing true source processes. The moment-tensor (MT) source model is commonly used to study NDC earthquakes. However, MT inversions are still challenging when earthquakes have small magnitudes, especially microearthquakes. The general-dislocation (GD) model specifies the focal mechanism as a shear-tensile slip on a fault plane; thus, GD inversion is better constrained than MT inversion. We focus on GD model-based waveform forward modeling and its application to microseismic source inversions. We expand

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Ren, Hao, Da Lei, Zhongxing Wang, and Changmin Fu. "A Mesh Mapping-Based Cooperative Inversion Strategy for Airborne Transient Electromagnetic and Magnetic Methods." Remote Sensing 15, no. 1 (2022): 125. http://dx.doi.org/10.3390/rs15010125.

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Cooperative inversion is a powerful underground imaging technique that can overcome the limitations of a single detection method. However, due to the different grid divisions used by various geophysical methodologies, imposing structural constraints between grids of different scales is challenging. This paper proposes a new cooperative inversion strategy and applies it to the inversion of the quasi-two-dimensional aerial transient electromagnetic method (ATEM) with the induced polarization (IP) effect and the two-dimensional magnetic method to solve the problem of applying cross-gradient const

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HARDING, A. J. "INVERSION METHODS FOR tau-p MAPS OF NEAR OFFSET DATA-LINEAR INVERSION*." Geophysical Prospecting 33, no. 5 (1985): 674–95. http://dx.doi.org/10.1111/j.1365-2478.1985.tb00772.x.

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Latimer, Robyn N. C., and David A. Risk. "An inversion approach for determining distribution of production and temperature sensitivity of soil respiration." Biogeosciences 13, no. 7 (2016): 2111–22. http://dx.doi.org/10.5194/bg-13-2111-2016.

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Abstract. Physical soil properties create lags between temperature change and corresponding soil responses, which obscure true Q10 (temperature sensitivity) values and other biophysical parameters such as depth of production. This study examines an inversion approach for estimating Q10 and e-folding depth of CO2 production (Zp) using physically based soil models, constrained by observed high-frequency surface fluxes and/or concentrations. Our inversion strategy uses a one-dimensional (1-D) multi-layered soil model that simulates realistic temperature and gas diffusion. We tested inversion scen

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Latimer, R. N. C., and D. A. Risk. "An inversion approach for determining production depth and temperature sensitivity of soil respiration." Biogeosciences Discussions 12, no. 13 (2015): 10137–66. http://dx.doi.org/10.5194/bgd-12-10137-2015.

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Abstract. Physical soil properties create lags between temperature change and corresponding soil responses, which obscure true Q10 values and other biophysical parameters such as depth of production. This study examines an inversion approach for estimating Q10 and depth of production (Zp) using physically based soil models, constrained by observed high-frequency surface fluxes and/or concentrations. Our inversion strategy uses a 1-D multi-layered soil model that simulates realistic temperature and gas diffusion. We tested inversion scenarios on synthetic data using a range of constraining para

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Linde, Niklas, Ari Tryggvason, John E. Peterson, and Susan S. Hubbard. "Joint inversion of crosshole radar and seismic traveltimes acquired at the South Oyster Bacterial Transport Site." GEOPHYSICS 73, no. 4 (2008): G29—G37. http://dx.doi.org/10.1190/1.2937467.

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The structural approach to joint inversion, entailing common boundaries or gradients, offers a flexible and effective way to invert diverse types of surface-based and/or crosshole geophysical data. The cross-gradients function has been introduced as a means to construct models in which spatial changes in two distinct physical-property models are parallel or antiparallel. Inversion methods that use such structural constraints also provide estimates of nonlinear and nonunique field-scale relationships between model parameters. Here, we jointly invert crosshole radar and seismic traveltimes for s

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Gafeira, R., D. Orozco Suárez, I. Milić, C. Quintero Noda, B. Ruiz Cobo, and H. Uitenbroek. "Machine learning initialization to accelerate Stokes profile inversions." Astronomy & Astrophysics 651 (July 2021): A31. http://dx.doi.org/10.1051/0004-6361/201936910.

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Context. At present, an exponential growth in scientific data from current and upcoming solar observatories is expected. Most of the data consist of high spatial and temporal resolution cubes of Stokes profiles taken in both local thermodynamic equilibrium (LTE) and non-LTE spectral lines. The analysis of such solar observations requires complex inversion codes. Hence, it is necessary to develop new tools to boost the speed and efficiency of inversions and reduce computation times and costs. Aims. In this work we discuss the application of convolutional neural networks (CNNs) as a tool to adva

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Lebedeva, Anastasia V., and Victor M. Ryabov. "Characteristics of convergence and stability of some methods for inverting the Laplace transform." Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy 11, no. 1 (2024): 115–30. http://dx.doi.org/10.21638/spbu01.2024.107.

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The problem of inversion of the integral Laplace transform, which belongs to the class of ill-posed problems, is considered. Integral equations are reduced to ill-conditioned systems of linear algebraic equations, in which the unknowns are either the coefficients of the series expansion in terms of special functions, or the approximate values of the desired original at a number of points. Various inversion methods are considered and their characteristics of accuracy and stability are indicated, which must be known when choosing an inversion method for solving applied problems. Quadrature inver

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Zeng, Fuqiang, Wenzheng Yue, and Chao Li. "Quaternion-based anisotropic inversion for flexural waves in horizontal transverse isotropic formations with unmatched sources: A synthetic example." GEOPHYSICS 83, no. 5 (2018): A69—A74. http://dx.doi.org/10.1190/geo2018-0140.1.

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The anisotropy of elastic waves has been widely used to obtain structural information on formations in geosciences research. Flexural wave splitting is generally applied to evaluate anisotropy with geophysical inversion methods. Cross-dipole sonic logging has been widely used for anisotropic inversions in horizontal transverse isotropic formations. Traditional methods assume that fast and slow flexural waves are similar in shape and are not dispersive and that the radiation characteristics of the two orthogonal dipole sources are identical. The two above assumptions cannot be satisfied in fiel

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Xu, Kun, Stewart A. Greenhalgh, and MiaoYue Wang. "Comparison of source-independent methods of elastic waveform inversion." GEOPHYSICS 71, no. 6 (2006): R91—R100. http://dx.doi.org/10.1190/1.2356256.

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In this paper, we investigate several source-independent methods of nonlinear full-waveform inversion of multicomponent elastic-wave data. This includes iterative estimation of source signature (IES), standard trace normalization (STN), and average trace normalization (ATN) inversion methods. All are based on the finite-element method in the frequency domain. One synthetic elastic crosshole model is used to compare the recovered images with all these methods as well as the known source signature (KSS) inversion method. The numerical experiments show that the IES method is superior to both STN

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