An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models

The migration of methane through the gas hydrate stability zone (GHSZ) in the marine subsurface is characterized by highly dynamic reactive transport processes coupled to thermodynamic phase transitions between solid gas hydrates, free methane gas, and dissolved methane in the aqueous phase. The mar...

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Bibliographic Details
Published in:Energies
Main Authors: Shubhangi Gupta, Barbara Wohlmuth, Matthias Haeckel
Format: Article in Journal/Newspaper
Language:English
Published: MDPI AG 2020
Subjects:
methane hydrate
phase transitions
ncp
nonlinear complementary constraints
semi-smooth newton method
active-sets strategy
Technology
T
Methane hydrate
Online Access:https://doi.org/10.3390/en13020503
https://doaj.org/article/1cc7a08cd64944ab97027b0daa49714b
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spelling ftdoajarticles:oai:doaj.org/article:1cc7a08cd64944ab97027b0daa49714b 2023-05-15T17:11:48+02:00 An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models Shubhangi Gupta Barbara Wohlmuth Matthias Haeckel 2020-01-01T00:00:00Z https://doi.org/10.3390/en13020503 https://doaj.org/article/1cc7a08cd64944ab97027b0daa49714b EN eng MDPI AG https://www.mdpi.com/1996-1073/13/2/503 https://doaj.org/toc/1996-1073 1996-1073 doi:10.3390/en13020503 https://doaj.org/article/1cc7a08cd64944ab97027b0daa49714b Energies, Vol 13, Iss 2, p 503 (2020) methane hydrate phase transitions ncp nonlinear complementary constraints semi-smooth newton method active-sets strategy Technology T article 2020 ftdoajarticles https://doi.org/10.3390/en13020503 2022-12-31T00:15:36Z The migration of methane through the gas hydrate stability zone (GHSZ) in the marine subsurface is characterized by highly dynamic reactive transport processes coupled to thermodynamic phase transitions between solid gas hydrates, free methane gas, and dissolved methane in the aqueous phase. The marine subsurface is essentially a water-saturated porous medium where the thermodynamic instability of the hydrate phase can cause free gas pockets to appear and disappear locally, causing the model to degenerate. This poses serious convergence issues for the general-purpose nonlinear solvers (e.g., standard Newton), and often leads to extremely small time-step sizes. The convergence problem is particularly severe when the rate of hydrate phase change is much lower than the rate of gas dissolution. In order to overcome this numerical challenge, we have developed an all-at-once Newton scheme tailored to our gas hydrate model, which can handle rate-based hydrate phase change coupled with equilibrium gas dissolution in a mathematically consistent and robust manner. Article in Journal/Newspaper Methane hydrate Directory of Open Access Journals: DOAJ Articles Energies 13 2 503
institution Open Polar
collection Directory of Open Access Journals: DOAJ Articles
op_collection_id ftdoajarticles
language English
topic methane hydrate
phase transitions
ncp
nonlinear complementary constraints
semi-smooth newton method
active-sets strategy
Technology
T
spellingShingle methane hydrate
phase transitions
ncp
nonlinear complementary constraints
semi-smooth newton method
active-sets strategy
Technology
T
Shubhangi Gupta
Barbara Wohlmuth
Matthias Haeckel
An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models
topic_facet methane hydrate
phase transitions
ncp
nonlinear complementary constraints
semi-smooth newton method
active-sets strategy
Technology
T
description The migration of methane through the gas hydrate stability zone (GHSZ) in the marine subsurface is characterized by highly dynamic reactive transport processes coupled to thermodynamic phase transitions between solid gas hydrates, free methane gas, and dissolved methane in the aqueous phase. The marine subsurface is essentially a water-saturated porous medium where the thermodynamic instability of the hydrate phase can cause free gas pockets to appear and disappear locally, causing the model to degenerate. This poses serious convergence issues for the general-purpose nonlinear solvers (e.g., standard Newton), and often leads to extremely small time-step sizes. The convergence problem is particularly severe when the rate of hydrate phase change is much lower than the rate of gas dissolution. In order to overcome this numerical challenge, we have developed an all-at-once Newton scheme tailored to our gas hydrate model, which can handle rate-based hydrate phase change coupled with equilibrium gas dissolution in a mathematically consistent and robust manner.
format Article in Journal/Newspaper
author Shubhangi Gupta
Barbara Wohlmuth
Matthias Haeckel
author_facet Shubhangi Gupta
Barbara Wohlmuth
Matthias Haeckel
author_sort Shubhangi Gupta
title An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models
title_short An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models
title_full An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models
title_fullStr An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models
title_full_unstemmed An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models
title_sort all-at-once newton strategy for marine methane hydrate reservoir models
publisher MDPI AG
publishDate 2020
url https://doi.org/10.3390/en13020503
https://doaj.org/article/1cc7a08cd64944ab97027b0daa49714b
genre Methane hydrate
genre_facet Methane hydrate
op_source Energies, Vol 13, Iss 2, p 503 (2020)
op_relation https://www.mdpi.com/1996-1073/13/2/503
https://doaj.org/toc/1996-1073
1996-1073
doi:10.3390/en13020503
https://doaj.org/article/1cc7a08cd64944ab97027b0daa49714b
op_doi https://doi.org/10.3390/en13020503
container_title Energies
container_volume 13
container_issue 2
container_start_page 503
_version_ 1766068565701558272

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