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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ftmdpi:oai:mdpi.com:/1996-1073/13/2/503/ 2023-08-20T04:07:57+02:00 An All-At-Once Newton Strategy for Marine Methane Hydrate Reservoir Models Shubhangi Gupta Barbara Wohlmuth Matthias Haeckel 2020-01-20 application/pdf https://doi.org/10.3390/en13020503 EN eng Multidisciplinary Digital Publishing Institute H: Geo-Energy https://dx.doi.org/10.3390/en13020503 https://creativecommons.org/licenses/by/4.0/ Energies; Volume 13; Issue 2; Pages: 503 methane hydrate phase transitions NCP nonlinear complementary constraints semi-smooth Newton method active-sets strategy Text 2020 ftmdpi https://doi.org/10.3390/en13020503 2023-07-31T23:01:21Z 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. Text Methane hydrate MDPI Open Access Publishing Energies 13 2 503 |
institution |
Open Polar |
collection |
MDPI Open Access Publishing |
op_collection_id |
ftmdpi |
language |
English |
topic |
methane hydrate phase transitions NCP nonlinear complementary constraints semi-smooth Newton method active-sets strategy |
spellingShingle |
methane hydrate phase transitions NCP nonlinear complementary constraints semi-smooth Newton method active-sets strategy 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 |
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 |
Text |
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 |
Multidisciplinary Digital Publishing Institute |
publishDate |
2020 |
url |
https://doi.org/10.3390/en13020503 |
genre |
Methane hydrate |
genre_facet |
Methane hydrate |
op_source |
Energies; Volume 13; Issue 2; Pages: 503 |
op_relation |
H: Geo-Energy https://dx.doi.org/10.3390/en13020503 |
op_rights |
https://creativecommons.org/licenses/by/4.0/ |
op_doi |
https://doi.org/10.3390/en13020503 |
container_title |
Energies |
container_volume |
13 |
container_issue |
2 |
container_start_page |
503 |
_version_ |
1774719941653561344 |