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The truncated plurigaussian model is often used to simulate the spatial distribution of random categorical variables such as geological facies. The problems addressed in this paper are the estimation of parameters of the truncation map for…

统计理论 · 数学 2015-08-07 Alina Astrakova , Dean S. Oliver , Christian Lantuéjoul

Pore-scale simulations accurately describe transport properties of fluids in the subsurface. These simulations enhance our understanding of applications such as assessing hydrogen storage efficiency and forecasting CO$_2$ sequestration…

Spatial fields in the Earth and environmental sciences are often available at multiple scales or resolutions. While coarse-scale data (e.g., from global circulation models) are often abundant, they lack the local detail provided by…

统计方法学 · 统计学 2026-04-01 Alejandro Calle-Saldarriaga , Paul F. V. Wiemann , Matthias Katzfuss

In this paper, we study porous media flows in heterogeneous stochastic media. We propose an efficient forward simulation technique that is tailored for variational Bayesian inversion. As a starting point, the proposed forward simulation…

应用统计 · 统计学 2018-02-12 Keren Yang , Nilabja Guha , Yalchin Efendiev , Bani K. Mallick

In this paper, we propose a local model reduction approach for subsurface flow problems in stochastic and highly heterogeneous media. To guarantee the mass conservation, we consider the mixed formulation of the flow problem and aim to solve…

数值分析 · 数学 2022-03-23 Yiran Wang , Eric Chung , Shubin Fu

We propose a new framework to compare alternative geostatistical descriptions of a given site. Multiple realizations of each of the considered geostatistical models and their corresponding tomograms (based on inversion of noise-contaminated…

地球物理 · 物理学 2017-01-09 N. Linde , T. Lochbühler , M. Dogan , R. L. Van Dam

This article introduces a new efficient particle method for the numerical simulation of crystallization and precipitation at the pore scale of real rock geometries extracted by X-Ray tomography. It is based on the coupling between…

计算工程、金融与科学 · 计算机科学 2025-03-11 Sarah Perez , Jean-Matthieu Etancelin , Philippe Poncet

The two-scale computational homogenization method is proposed for modelling of locally periodic fluid-saturated media subjected a to large deformation induced by quasistatic loading. The periodic heterogeneities are relevant to the…

数值分析 · 数学 2022-02-11 Vladimír Lukeš , Eduard Rohan

This work outlines a diffuse interface method for the study of fracture and fragmentation in ductile metals at high strain-rates in Eulerian finite volume simulations. The work is based on an existing diffuse interface method capable of…

计算物理 · 物理学 2022-10-11 Tim Wallis , Philip T. Barton , Nikolaos Nikiforakis

Graphical modeling explores dependences among a collection of variables by inferring a graph that encodes pairwise conditional independences. For jointly Gaussian variables, this translates into detecting the support of the precision…

统计方法学 · 统计学 2018-02-16 Shota Katayama , Hironori Fujisawa , Mathias Drton

This article considers the computational (acoustic) wave propagation in strongly heterogeneous structures beyond the assumption of periodicity. A high contrast between the constituents of microstructured multiphase materials can lead to…

数值分析 · 数学 2020-01-29 Daniel Peterseim , Barbara Verfürth

We introduce a fast and easy-to-implement simulation algorithm for a multivariate normal distribution truncated on the intersection of a set of hyperplanes, and further generalize it to efficiently simulate random variables from a…

统计计算 · 统计学 2017-02-21 Yulai Cong , Bo Chen , Mingyuan Zhou

One of the most challenging aspects of multivariate geostatistics is dealing with complex relationships between variables. Geostatistical co-simulation and spatial decorrelation methods, commonly used for modelling multiple variables, are…

统计方法学 · 统计学 2025-03-07 Sultan Abulkhair , Peter A. Dowd , Chaoshui Xu

This paper proposes a Bayesian framework for localization of multiple sources in the event of accidental hazardous contaminant release. The framework assimilates sensor measurements of the contaminant concentration with an integrated…

应用统计 · 统计学 2018-10-18 Young-Jin Park , Piyush M. Tagade , Han-Lim Choi

We present TopoGaussian, a holistic, particle-based pipeline for inferring the interior structure of an opaque object from easily accessible photos and videos as input. Traditional mesh-based approaches require tedious and error-prone mesh…

计算机视觉与模式识别 · 计算机科学 2025-03-18 Xiaoyu Xiong , Changyu Hu , Chunru Lin , Pingchuan Ma , Chuang Gan , Tao Du

Surfactants reside at the interface of two-phase flows and significantly influence the flow dynamics. Numerical simulations are essential for a comprehensive understanding of such surfactant-laden flows and require a method that can…

流体动力学 · 物理学 2026-05-20 Shu Yamashita , Shintaro Matsushita , Tetsuya Suekane

Multiscale modeling is a systematic approach to describe the behavior of complex systems by coupling models from different scales. The approach has been demonstrated to be very effective in areas of science as diverse as materials science,…

计算物理 · 物理学 2020-01-08 Ting Wang , Kenneth W. Leiter , Petr Plechac , Jaroslaw Knap

A computational method based on the non-linear Gaussian process (GP), known as deep Gaussian processes (deep GPs) for uncertainty quantification & propagation in modelling of flow through heterogeneous porous media is presented. The method…

机器学习 · 统计学 2020-11-06 A. Daneshkhah , O. Chatrabgoun , M. Esmaeilbeigi , T. Sedighi , S. Abolfathi

This paper explores a Gaussian process emulator based approach for rapid Bayesian inference of contaminant source location and characteristics in an indoor environment. In the pre-event detection stage, the proposed approach represents…

应用统计 · 统计学 2013-05-15 Piyush M. Tagade , Byeong-Min Jeong , Han-Lim Choi

Time-evolving perforated domains arise in many engineering and geoscientific applications, including reactive transport, particle deposition, and structural degradation in porous media. Accurately capturing the macroscopic behavior of such…

数值分析 · 数学 2025-06-27 Wei Xie , Viet Ha Hoang , Yin Yang , Yunqing Huang
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