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In geophysics, inverse modelling can be applied to a wide range of goals, including, for instance, mapping the distribution of rock physical parameters in applied geophysics and calibrating models to forecast the behaviour of natural…

The near-surface environment is often too complex to enable inference of hydrological and environmental variables using one geophysical data type alone. Joint inversion and coupled inverse modeling involving numerical flow- and transport…

地球物理 · 物理学 2017-01-09 N. Linde , J. Doetsch

Inverse analysis has been utilized to understand unknown underground geological properties by matching the observational data with simulators. To overcome the underconstrained nature of inverse problems and achieve good performance, an…

计算物理 · 物理学 2022-08-10 Hao Wu , Sarah Greer , Daniel O'Malley

The need to blend observational data and mathematical models arises in many applications and leads naturally to inverse problems. Parameters appearing in the model, such as constitutive tensors, initial conditions, boundary conditions, and…

统计理论 · 数学 2010-09-16 J. Nolen , G. A. Pavliotis , A. M. Stuart

The goal of inversion is to estimate the model which generates the data of observations with a specific modeling equation. One general approach to inversion is to use optimization methods which are algebraic in nature to define an objective…

地球物理 · 物理学 2015-06-02 August Lau , Chuan Yin

Reconstructing the structural geology and mineral composition of the first few kilometers of the Earth's subsurface from sparse or indirect surface observations remains a long-standing challenge with critical applications in mineral…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Simon Ghyselincks , Valeriia Okhmak , Stefano Zampini , George Turkiyyah , David Keyes , Eldad Haber

Geostatistical seismic inversion is commonly used to infer the spatial distribution of the subsurface petro-elastic properties by perturbing the model parameter space through iterative stochastic sequential simulations/co-simulations. The…

应用统计 · 统计学 2018-10-19 Leonardo Azevedo , Vasily Demyanov

The use of the probabilistic approach to solve inverse problems is becoming more popular in the geophysical community, thanks to its ability to address nonlinear forward problems and to provide uncertainty quantification. However, such…

地球物理 · 物理学 2023-11-13 Andrea Zunino , Lars Gebraad , Alessandro Ghirotto , Andreas Fichtner

Geophysical inversion should ideally produce geologically realistic subsurface models that explain the available data. Multiple-point statistics is a geostatistical approach to construct subsurface models that are consistent with…

地球物理 · 物理学 2017-01-09 T. Zahner , T. Lochbühler , G. Mariethoz , N. Linde

Inversion techniques are widely used to reconstruct subsurface physical properties (e.g., velocity, conductivity) from surface-based geophysical measurements (e.g., seismic, electric/magnetic (EM) data). The problems are governed by partial…

机器学习 · 计算机科学 2022-06-17 Yinan Feng , Yinpeng Chen , Shihang Feng , Peng Jin , Zicheng Liu , Youzuo Lin

This paper reviews recent results on hybrid inverse problems, which are also called coupled-physics inverse problems of multi-wave inverse problems. Inverse problems tend to be most useful in, e.g., medical and geophysical imaging, when…

偏微分方程分析 · 数学 2011-10-24 Guillaume Bal

Microstructural materials design is one of the most important applications of inverse modeling in materials science. Generally speaking, there are two broad modeling paradigms in scientific applications: forward and inverse. While the…

机器学习 · 计算机科学 2021-01-27 Zijiang Yang , Dipendra Jha , Arindam Paul , Wei-keng Liao , Alok Choudhary , Ankit Agrawal

Structural seismic interpretation and quantitative characterization are historically intertwined processes. The latter provides estimates of properties of the subsurface which can be used to aid structural interpretation alongside the…

地球物理 · 物理学 2021-10-13 Matteo Ravasi , Claire Emma Birnie

Inverse problems occur in a variety of parameter identification tasks in engineering. Such problems are challenging in practice, as they require repeated evaluation of computationally expensive forward models. We introduce a unifying…

最优化与控制 · 数学 2022-05-02 Simon Weissmann , Ashia Wilson , Jakob Zech

Optimization plays an important role in solving many inverse problems. Indeed, the task of inversion often either involves or is fully cast as a solution of an optimization problem. In this light, the mere non-linear, non-convex, and…

最优化与控制 · 数学 2017-12-04 Nan Ye , Farbod Roosta-Khorasani , Tiangang Cui

A strategy is presented to incorporate prior information from conceptual geological models in probabilistic inversion of geophysical data. The conceptual geological models are represented by multiple-point statistics training images (TIs)…

地球物理 · 物理学 2017-01-06 T. Lochbühler , J. A. Vrugt , M. Sadegh , N. Linde

Reservoir models are numerical representations of the subsurface petrophysical properties such as porosity, volume of minerals and fluid saturations. These are often derived from elastic models inferred from seismic inversion in a two-step…

地球物理 · 物理学 2018-12-26 Leonardo Azevedo , Dario Grana , Catarina Amaro

Applying deep-learning models to geophysical applications has attracted special attentions during the past a couple of years. There are several papers published in this domain involving with different topics primarily focusing on synthetic…

地球物理 · 物理学 2019-10-01 Ping Lu

In groundwater hydrology, geophysical imaging holds considerable promise for improving parameter estimation, due to the generally high resolution and spatial coverage of geophysical data. However, inversion of geophysical data alone cannot…

地球物理 · 物理学 2017-01-06 T. Lochbühler , J. Doetsch , R. Brauchler , N. Linde

Inverse problems are concerned with the reconstruction of unknown physical quantities using indirect measurements and are fundamental across diverse fields such as medical imaging, remote sensing, and material sciences. These problems serve…

数值分析 · 数学 2025-06-16 Carola-Bibiane Schönlieb , Zakhar Shumaylov
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