Statistical inversion of absolute permeability in single-phase darcy flow

Thilo Strauss; Xiaolin Fan; Shuyu Sun; Taufiquar Khan

doi:10.1016/j.procs.2015.05.291

Statistical inversion of absolute permeability in single-phase darcy flow

Thilo Strauss, Xiaolin Fan, Shuyu Sun, Taufiquar Khan^*

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

8 Citations (Scopus)

Abstract

In this paper, we formulate the permeability inverse problem in the Bayesian framework using total variation (TV) and ℓ_p (0 < p ≤ 2) regularization prior. We use the Markov Chain Monte Carlo (MCMC) method for sampling the posterior distribution to solve the ill-posed inverse problem. We present simulations to estimate the distribution for each pixel for the image reconstruction of the absolute permeability.

Original language	English
Pages (from-to)	1188-1197
Number of pages	10
Journal	Procedia Computer Science
Volume	51
Issue number	1
DOIs	https://doi.org/10.1016/j.procs.2015.05.291
Publication status	Published - 2015
Externally published	Yes
Event	International Conference on Computational Science, ICCS 2002 - Amsterdam, Netherlands Duration: 21 Apr 2002 → 24 Apr 2002

Keywords

Markov chain Monte Carlo method
Metropolis-hastings
Single-phase darcy flow
Statistical inversion

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10.1016/j.procs.2015.05.291

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title = "Statistical inversion of absolute permeability in single-phase darcy flow",

abstract = "In this paper, we formulate the permeability inverse problem in the Bayesian framework using total variation (TV) and ℓp (0 < p ≤ 2) regularization prior. We use the Markov Chain Monte Carlo (MCMC) method for sampling the posterior distribution to solve the ill-posed inverse problem. We present simulations to estimate the distribution for each pixel for the image reconstruction of the absolute permeability.",

keywords = "Markov chain Monte Carlo method, Metropolis-hastings, Single-phase darcy flow, Statistical inversion",

author = "Thilo Strauss and Xiaolin Fan and Shuyu Sun and Taufiquar Khan",

note = "Publisher Copyright: {\textcopyright} The Authors. Published by Elsevier B.V.; International Conference on Computational Science, ICCS 2002 ; Conference date: 21-04-2002 Through 24-04-2002",

year = "2015",

doi = "10.1016/j.procs.2015.05.291",

language = "English",

volume = "51",

pages = "1188--1197",

journal = "Procedia Computer Science",

issn = "1877-0509",

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TY - JOUR

T1 - Statistical inversion of absolute permeability in single-phase darcy flow

AU - Strauss, Thilo

AU - Fan, Xiaolin

AU - Sun, Shuyu

AU - Khan, Taufiquar

N1 - Publisher Copyright: © The Authors. Published by Elsevier B.V.

PY - 2015

Y1 - 2015

N2 - In this paper, we formulate the permeability inverse problem in the Bayesian framework using total variation (TV) and ℓp (0 < p ≤ 2) regularization prior. We use the Markov Chain Monte Carlo (MCMC) method for sampling the posterior distribution to solve the ill-posed inverse problem. We present simulations to estimate the distribution for each pixel for the image reconstruction of the absolute permeability.

AB - In this paper, we formulate the permeability inverse problem in the Bayesian framework using total variation (TV) and ℓp (0 < p ≤ 2) regularization prior. We use the Markov Chain Monte Carlo (MCMC) method for sampling the posterior distribution to solve the ill-posed inverse problem. We present simulations to estimate the distribution for each pixel for the image reconstruction of the absolute permeability.

KW - Markov chain Monte Carlo method

KW - Metropolis-hastings

KW - Single-phase darcy flow

KW - Statistical inversion

UR - https://www.scopus.com/pages/publications/84939197540

U2 - 10.1016/j.procs.2015.05.291

DO - 10.1016/j.procs.2015.05.291

M3 - Conference article

AN - SCOPUS:84939197540

SN - 1877-0509

VL - 51

SP - 1188

EP - 1197

JO - Procedia Computer Science

JF - Procedia Computer Science

IS - 1

T2 - International Conference on Computational Science, ICCS 2002

Y2 - 21 April 2002 through 24 April 2002

ER -

Statistical inversion of absolute permeability in single-phase darcy flow

Abstract

Keywords

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