A Fully Coupled Hydro-Mechanical-Gas Model Based on Mixture Coupling Theory Article Swipe
YOU?
·
· 2022
· Open Access
·
· DOI: https://doi.org/10.1007/s11242-022-01784-6
The interactions of gas migration, water transport and mechanical deformation of rocks are significant for geoenergy industry (e.g. Carbon Capture and Storage, radioactive waste disposal); however, the hydro-mechanical-gas coupled model remains a challenge due to the gap between multiple disciplines (e.g. Geomechanics and Geoenergy). This work presents a novel hydro-mechanical framework model of fully coupled two-phase fluid transport in a deformable porous media through extending mixture coupling theory which is based on non-equilibrium thermodynamics. The main difference between the mixture coupling theory approach and other approaches (ex., mechanic's approach) is that the mixture coupling theory uses energy and entropy analysis by utilizing the unbalanced thermodynamics, while the mechanic's approach analyses the stress–strain tensors. The gas free energy has been included in the Helmholtz free energy balance equation. Three main governing equations have been obtained for solid, liquid and gas phases. Benchmark experiments and modelling based on classical continuum mechanics approaches are used to validate the model by comparing the measured data to the simulation results. The results have a good agreement with experimental data, demonstrating that gas migration has a great influence on water transport and deformation of the solids. The novelty of this study is that it is providing a new approach to study the multiphase flow coupling in porous media rather than the classic mechanic’s approach. Article Highlights A Hydro-Mechanical-Gas (HMG) model has been developed using the mixture coupling theory approach. The hydro-mechanical framework equations were established by using non-equilibrium thermodynamic and Darcy law. The model has been validated using published experimental data and the results of other researchers with different approaches.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1007/s11242-022-01784-6
- https://link.springer.com/content/pdf/10.1007/s11242-022-01784-6.pdf
- OA Status
- hybrid
- Cited By
- 7
- References
- 32
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4280516322
Raw OpenAlex JSON
- OpenAlex ID
-
https://openalex.org/W4280516322Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.1007/s11242-022-01784-6Digital Object Identifier
- Title
-
A Fully Coupled Hydro-Mechanical-Gas Model Based on Mixture Coupling TheoryWork title
- Type
-
articleOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2022Year of publication
- Publication date
-
2022-05-01Full publication date if available
- Authors
-
Sulaiman Abdullah, Yue Ma, Xiaohui Chen, Amirul KhanList of authors in order
- Landing page
-
https://doi.org/10.1007/s11242-022-01784-6Publisher landing page
- PDF URL
-
https://link.springer.com/content/pdf/10.1007/s11242-022-01784-6.pdfDirect link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
hybridOpen access status per OpenAlex
- OA URL
-
https://link.springer.com/content/pdf/10.1007/s11242-022-01784-6.pdfDirect OA link when available
- Concepts
-
Mixture theory, Helmholtz free energy, Porous medium, Geomechanics, Thermodynamics, Coupling (piping), Hydrogeology, Mechanics, Poromechanics, Materials science, Physics, Computer science, Geotechnical engineering, Porosity, Geology, Mixture model, Metallurgy, Artificial intelligenceTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
7Total citation count in OpenAlex
- Citations by year (recent)
-
2025: 2, 2024: 2, 2023: 3Per-year citation counts (last 5 years)
- References (count)
-
32Number of works referenced by this work
- Related works (count)
-
10Other works algorithmically related by OpenAlex
Full payload
| id | https://openalex.org/W4280516322 |
|---|---|
| doi | https://doi.org/10.1007/s11242-022-01784-6 |
| ids.doi | https://doi.org/10.1007/s11242-022-01784-6 |
| ids.openalex | https://openalex.org/W4280516322 |
| fwci | 0.86554497 |
| type | article |
| title | A Fully Coupled Hydro-Mechanical-Gas Model Based on Mixture Coupling Theory |
| biblio.issue | 1 |
| biblio.volume | 143 |
| biblio.last_page | 68 |
| biblio.first_page | 47 |
| topics[0].id | https://openalex.org/T10635 |
| topics[0].field.id | https://openalex.org/fields/22 |
| topics[0].field.display_name | Engineering |
| topics[0].score | 0.9995999932289124 |
| topics[0].domain.id | https://openalex.org/domains/3 |
| topics[0].domain.display_name | Physical Sciences |
| topics[0].subfield.id | https://openalex.org/subfields/2210 |
| topics[0].subfield.display_name | Mechanical Engineering |
| topics[0].display_name | Hydraulic Fracturing and Reservoir Analysis |
| topics[1].id | https://openalex.org/T10716 |
| topics[1].field.id | https://openalex.org/fields/22 |
| topics[1].field.display_name | Engineering |
| topics[1].score | 0.9990000128746033 |
| topics[1].domain.id | https://openalex.org/domains/3 |
| topics[1].domain.display_name | Physical Sciences |
| topics[1].subfield.id | https://openalex.org/subfields/2205 |
| topics[1].subfield.display_name | Civil and Structural Engineering |
| topics[1].display_name | Soil and Unsaturated Flow |
| topics[2].id | https://openalex.org/T10161 |
| topics[2].field.id | https://openalex.org/fields/22 |
| topics[2].field.display_name | Engineering |
| topics[2].score | 0.9987000226974487 |
| topics[2].domain.id | https://openalex.org/domains/3 |
| topics[2].domain.display_name | Physical Sciences |
| topics[2].subfield.id | https://openalex.org/subfields/2211 |
| topics[2].subfield.display_name | Mechanics of Materials |
| topics[2].display_name | Rock Mechanics and Modeling |
| is_xpac | False |
| apc_list.value | 2790 |
| apc_list.currency | EUR |
| apc_list.value_usd | 3590 |
| apc_paid.value | 2790 |
| apc_paid.currency | EUR |
| apc_paid.value_usd | 3590 |
| concepts[0].id | https://openalex.org/C2779736610 |
| concepts[0].level | 3 |
| concepts[0].score | 0.767594575881958 |
| concepts[0].wikidata | https://www.wikidata.org/wiki/Q6884140 |
| concepts[0].display_name | Mixture theory |
| concepts[1].id | https://openalex.org/C27592594 |
| concepts[1].level | 2 |
| concepts[1].score | 0.6377614736557007 |
| concepts[1].wikidata | https://www.wikidata.org/wiki/Q865821 |
| concepts[1].display_name | Helmholtz free energy |
| concepts[2].id | https://openalex.org/C105569014 |
| concepts[2].level | 3 |
| concepts[2].score | 0.5817888379096985 |
| concepts[2].wikidata | https://www.wikidata.org/wiki/Q3271208 |
| concepts[2].display_name | Porous medium |
| concepts[3].id | https://openalex.org/C185715996 |
| concepts[3].level | 2 |
| concepts[3].score | 0.5051835179328918 |
| concepts[3].wikidata | https://www.wikidata.org/wiki/Q2670285 |
| concepts[3].display_name | Geomechanics |
| concepts[4].id | https://openalex.org/C97355855 |
| concepts[4].level | 1 |
| concepts[4].score | 0.471282422542572 |
| concepts[4].wikidata | https://www.wikidata.org/wiki/Q11473 |
| concepts[4].display_name | Thermodynamics |
| concepts[5].id | https://openalex.org/C131584629 |
| concepts[5].level | 2 |
| concepts[5].score | 0.46178796887397766 |
| concepts[5].wikidata | https://www.wikidata.org/wiki/Q4308705 |
| concepts[5].display_name | Coupling (piping) |
| concepts[6].id | https://openalex.org/C33556824 |
| concepts[6].level | 2 |
| concepts[6].score | 0.44160857796669006 |
| concepts[6].wikidata | https://www.wikidata.org/wiki/Q179509 |
| concepts[6].display_name | Hydrogeology |
| concepts[7].id | https://openalex.org/C57879066 |
| concepts[7].level | 1 |
| concepts[7].score | 0.42593914270401 |
| concepts[7].wikidata | https://www.wikidata.org/wiki/Q41217 |
| concepts[7].display_name | Mechanics |
| concepts[8].id | https://openalex.org/C181965411 |
| concepts[8].level | 4 |
| concepts[8].score | 0.42239224910736084 |
| concepts[8].wikidata | https://www.wikidata.org/wiki/Q2314330 |
| concepts[8].display_name | Poromechanics |
| concepts[9].id | https://openalex.org/C192562407 |
| concepts[9].level | 0 |
| concepts[9].score | 0.307425856590271 |
| concepts[9].wikidata | https://www.wikidata.org/wiki/Q228736 |
| concepts[9].display_name | Materials science |
| concepts[10].id | https://openalex.org/C121332964 |
| concepts[10].level | 0 |
| concepts[10].score | 0.2767917215824127 |
| concepts[10].wikidata | https://www.wikidata.org/wiki/Q413 |
| concepts[10].display_name | Physics |
| concepts[11].id | https://openalex.org/C41008148 |
| concepts[11].level | 0 |
| concepts[11].score | 0.20526352524757385 |
| concepts[11].wikidata | https://www.wikidata.org/wiki/Q21198 |
| concepts[11].display_name | Computer science |
| concepts[12].id | https://openalex.org/C187320778 |
| concepts[12].level | 1 |
| concepts[12].score | 0.18589478731155396 |
| concepts[12].wikidata | https://www.wikidata.org/wiki/Q1349130 |
| concepts[12].display_name | Geotechnical engineering |
| concepts[13].id | https://openalex.org/C6648577 |
| concepts[13].level | 2 |
| concepts[13].score | 0.18503743410110474 |
| concepts[13].wikidata | https://www.wikidata.org/wiki/Q622669 |
| concepts[13].display_name | Porosity |
| concepts[14].id | https://openalex.org/C127313418 |
| concepts[14].level | 0 |
| concepts[14].score | 0.17951977252960205 |
| concepts[14].wikidata | https://www.wikidata.org/wiki/Q1069 |
| concepts[14].display_name | Geology |
| concepts[15].id | https://openalex.org/C61224824 |
| concepts[15].level | 2 |
| concepts[15].score | 0.09098482131958008 |
| concepts[15].wikidata | https://www.wikidata.org/wiki/Q2260434 |
| concepts[15].display_name | Mixture model |
| concepts[16].id | https://openalex.org/C191897082 |
| concepts[16].level | 1 |
| concepts[16].score | 0.0 |
| concepts[16].wikidata | https://www.wikidata.org/wiki/Q11467 |
| concepts[16].display_name | Metallurgy |
| concepts[17].id | https://openalex.org/C154945302 |
| concepts[17].level | 1 |
| concepts[17].score | 0.0 |
| concepts[17].wikidata | https://www.wikidata.org/wiki/Q11660 |
| concepts[17].display_name | Artificial intelligence |
| keywords[0].id | https://openalex.org/keywords/mixture-theory |
| keywords[0].score | 0.767594575881958 |
| keywords[0].display_name | Mixture theory |
| keywords[1].id | https://openalex.org/keywords/helmholtz-free-energy |
| keywords[1].score | 0.6377614736557007 |
| keywords[1].display_name | Helmholtz free energy |
| keywords[2].id | https://openalex.org/keywords/porous-medium |
| keywords[2].score | 0.5817888379096985 |
| keywords[2].display_name | Porous medium |
| keywords[3].id | https://openalex.org/keywords/geomechanics |
| keywords[3].score | 0.5051835179328918 |
| keywords[3].display_name | Geomechanics |
| keywords[4].id | https://openalex.org/keywords/thermodynamics |
| keywords[4].score | 0.471282422542572 |
| keywords[4].display_name | Thermodynamics |
| keywords[5].id | https://openalex.org/keywords/coupling |
| keywords[5].score | 0.46178796887397766 |
| keywords[5].display_name | Coupling (piping) |
| keywords[6].id | https://openalex.org/keywords/hydrogeology |
| keywords[6].score | 0.44160857796669006 |
| keywords[6].display_name | Hydrogeology |
| keywords[7].id | https://openalex.org/keywords/mechanics |
| keywords[7].score | 0.42593914270401 |
| keywords[7].display_name | Mechanics |
| keywords[8].id | https://openalex.org/keywords/poromechanics |
| keywords[8].score | 0.42239224910736084 |
| keywords[8].display_name | Poromechanics |
| keywords[9].id | https://openalex.org/keywords/materials-science |
| keywords[9].score | 0.307425856590271 |
| keywords[9].display_name | Materials science |
| keywords[10].id | https://openalex.org/keywords/physics |
| keywords[10].score | 0.2767917215824127 |
| keywords[10].display_name | Physics |
| keywords[11].id | https://openalex.org/keywords/computer-science |
| keywords[11].score | 0.20526352524757385 |
| keywords[11].display_name | Computer science |
| keywords[12].id | https://openalex.org/keywords/geotechnical-engineering |
| keywords[12].score | 0.18589478731155396 |
| keywords[12].display_name | Geotechnical engineering |
| keywords[13].id | https://openalex.org/keywords/porosity |
| keywords[13].score | 0.18503743410110474 |
| keywords[13].display_name | Porosity |
| keywords[14].id | https://openalex.org/keywords/geology |
| keywords[14].score | 0.17951977252960205 |
| keywords[14].display_name | Geology |
| keywords[15].id | https://openalex.org/keywords/mixture-model |
| keywords[15].score | 0.09098482131958008 |
| keywords[15].display_name | Mixture model |
| language | en |
| locations[0].id | doi:10.1007/s11242-022-01784-6 |
| locations[0].is_oa | True |
| locations[0].source.id | https://openalex.org/S183886180 |
| locations[0].source.issn | 0169-3913, 1573-1634 |
| locations[0].source.type | journal |
| locations[0].source.is_oa | False |
| locations[0].source.issn_l | 0169-3913 |
| locations[0].source.is_core | True |
| locations[0].source.is_in_doaj | False |
| locations[0].source.display_name | Transport in Porous Media |
| locations[0].source.host_organization | https://openalex.org/P4310319900 |
| locations[0].source.host_organization_name | Springer Science+Business Media |
| locations[0].source.host_organization_lineage | https://openalex.org/P4310319900, https://openalex.org/P4310319965 |
| locations[0].source.host_organization_lineage_names | Springer Science+Business Media, Springer Nature |
| locations[0].license | cc-by |
| locations[0].pdf_url | https://link.springer.com/content/pdf/10.1007/s11242-022-01784-6.pdf |
| locations[0].version | publishedVersion |
| locations[0].raw_type | journal-article |
| locations[0].license_id | https://openalex.org/licenses/cc-by |
| locations[0].is_accepted | True |
| locations[0].is_published | True |
| locations[0].raw_source_name | Transport in Porous Media |
| locations[0].landing_page_url | https://doi.org/10.1007/s11242-022-01784-6 |
| indexed_in | crossref |
| authorships[0].author.id | https://openalex.org/A5104087348 |
| authorships[0].author.orcid | |
| authorships[0].author.display_name | Sulaiman Abdullah |
| authorships[0].countries | GB |
| authorships[0].affiliations[0].institution_ids | https://openalex.org/I130828816 |
| authorships[0].affiliations[0].raw_affiliation_string | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| authorships[0].institutions[0].id | https://openalex.org/I130828816 |
| authorships[0].institutions[0].ror | https://ror.org/024mrxd33 |
| authorships[0].institutions[0].type | education |
| authorships[0].institutions[0].lineage | https://openalex.org/I130828816 |
| authorships[0].institutions[0].country_code | GB |
| authorships[0].institutions[0].display_name | University of Leeds |
| authorships[0].author_position | first |
| authorships[0].raw_author_name | Sulaiman Abdullah |
| authorships[0].is_corresponding | False |
| authorships[0].raw_affiliation_strings | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| authorships[1].author.id | https://openalex.org/A5048576308 |
| authorships[1].author.orcid | https://orcid.org/0000-0001-8049-1062 |
| authorships[1].author.display_name | Yue Ma |
| authorships[1].countries | GB |
| authorships[1].affiliations[0].institution_ids | https://openalex.org/I130828816 |
| authorships[1].affiliations[0].raw_affiliation_string | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| authorships[1].institutions[0].id | https://openalex.org/I130828816 |
| authorships[1].institutions[0].ror | https://ror.org/024mrxd33 |
| authorships[1].institutions[0].type | education |
| authorships[1].institutions[0].lineage | https://openalex.org/I130828816 |
| authorships[1].institutions[0].country_code | GB |
| authorships[1].institutions[0].display_name | University of Leeds |
| authorships[1].author_position | middle |
| authorships[1].raw_author_name | Yue Ma |
| authorships[1].is_corresponding | False |
| authorships[1].raw_affiliation_strings | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| authorships[2].author.id | https://openalex.org/A5100375162 |
| authorships[2].author.orcid | https://orcid.org/0000-0002-2053-2448 |
| authorships[2].author.display_name | Xiaohui Chen |
| authorships[2].countries | GB |
| authorships[2].affiliations[0].institution_ids | https://openalex.org/I130828816 |
| authorships[2].affiliations[0].raw_affiliation_string | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| authorships[2].institutions[0].id | https://openalex.org/I130828816 |
| authorships[2].institutions[0].ror | https://ror.org/024mrxd33 |
| authorships[2].institutions[0].type | education |
| authorships[2].institutions[0].lineage | https://openalex.org/I130828816 |
| authorships[2].institutions[0].country_code | GB |
| authorships[2].institutions[0].display_name | University of Leeds |
| authorships[2].author_position | middle |
| authorships[2].raw_author_name | Xiaohui Chen |
| authorships[2].is_corresponding | False |
| authorships[2].raw_affiliation_strings | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| authorships[3].author.id | https://openalex.org/A5053139994 |
| authorships[3].author.orcid | https://orcid.org/0000-0002-7521-5458 |
| authorships[3].author.display_name | Amirul Khan |
| authorships[3].countries | GB |
| authorships[3].affiliations[0].institution_ids | https://openalex.org/I130828816 |
| authorships[3].affiliations[0].raw_affiliation_string | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| authorships[3].institutions[0].id | https://openalex.org/I130828816 |
| authorships[3].institutions[0].ror | https://ror.org/024mrxd33 |
| authorships[3].institutions[0].type | education |
| authorships[3].institutions[0].lineage | https://openalex.org/I130828816 |
| authorships[3].institutions[0].country_code | GB |
| authorships[3].institutions[0].display_name | University of Leeds |
| authorships[3].author_position | last |
| authorships[3].raw_author_name | Amirul Khan |
| authorships[3].is_corresponding | False |
| authorships[3].raw_affiliation_strings | School of Civil Engineering, University of Leeds, Leeds, LS2 9JT, UK |
| has_content.pdf | True |
| has_content.grobid_xml | True |
| is_paratext | False |
| open_access.is_oa | True |
| open_access.oa_url | https://link.springer.com/content/pdf/10.1007/s11242-022-01784-6.pdf |
| open_access.oa_status | hybrid |
| open_access.any_repository_has_fulltext | False |
| created_date | 2025-10-10T00:00:00 |
| display_name | A Fully Coupled Hydro-Mechanical-Gas Model Based on Mixture Coupling Theory |
| has_fulltext | True |
| is_retracted | False |
| updated_date | 2025-11-06T03:46:38.306776 |
| primary_topic.id | https://openalex.org/T10635 |
| primary_topic.field.id | https://openalex.org/fields/22 |
| primary_topic.field.display_name | Engineering |
| primary_topic.score | 0.9995999932289124 |
| primary_topic.domain.id | https://openalex.org/domains/3 |
| primary_topic.domain.display_name | Physical Sciences |
| primary_topic.subfield.id | https://openalex.org/subfields/2210 |
| primary_topic.subfield.display_name | Mechanical Engineering |
| primary_topic.display_name | Hydraulic Fracturing and Reservoir Analysis |
| related_works | https://openalex.org/W1976202887, https://openalex.org/W2790888732, https://openalex.org/W589949662, https://openalex.org/W2705411732, https://openalex.org/W2042220204, https://openalex.org/W2081436173, https://openalex.org/W2070077387, https://openalex.org/W3135971139, https://openalex.org/W2052711013, https://openalex.org/W4280516322 |
| cited_by_count | 7 |
| counts_by_year[0].year | 2025 |
| counts_by_year[0].cited_by_count | 2 |
| counts_by_year[1].year | 2024 |
| counts_by_year[1].cited_by_count | 2 |
| counts_by_year[2].year | 2023 |
| counts_by_year[2].cited_by_count | 3 |
| locations_count | 1 |
| best_oa_location.id | doi:10.1007/s11242-022-01784-6 |
| best_oa_location.is_oa | True |
| best_oa_location.source.id | https://openalex.org/S183886180 |
| best_oa_location.source.issn | 0169-3913, 1573-1634 |
| best_oa_location.source.type | journal |
| best_oa_location.source.is_oa | False |
| best_oa_location.source.issn_l | 0169-3913 |
| best_oa_location.source.is_core | True |
| best_oa_location.source.is_in_doaj | False |
| best_oa_location.source.display_name | Transport in Porous Media |
| best_oa_location.source.host_organization | https://openalex.org/P4310319900 |
| best_oa_location.source.host_organization_name | Springer Science+Business Media |
| best_oa_location.source.host_organization_lineage | https://openalex.org/P4310319900, https://openalex.org/P4310319965 |
| best_oa_location.source.host_organization_lineage_names | Springer Science+Business Media, Springer Nature |
| best_oa_location.license | cc-by |
| best_oa_location.pdf_url | https://link.springer.com/content/pdf/10.1007/s11242-022-01784-6.pdf |
| best_oa_location.version | publishedVersion |
| best_oa_location.raw_type | journal-article |
| best_oa_location.license_id | https://openalex.org/licenses/cc-by |
| best_oa_location.is_accepted | True |
| best_oa_location.is_published | True |
| best_oa_location.raw_source_name | Transport in Porous Media |
| best_oa_location.landing_page_url | https://doi.org/10.1007/s11242-022-01784-6 |
| primary_location.id | doi:10.1007/s11242-022-01784-6 |
| primary_location.is_oa | True |
| primary_location.source.id | https://openalex.org/S183886180 |
| primary_location.source.issn | 0169-3913, 1573-1634 |
| primary_location.source.type | journal |
| primary_location.source.is_oa | False |
| primary_location.source.issn_l | 0169-3913 |
| primary_location.source.is_core | True |
| primary_location.source.is_in_doaj | False |
| primary_location.source.display_name | Transport in Porous Media |
| primary_location.source.host_organization | https://openalex.org/P4310319900 |
| primary_location.source.host_organization_name | Springer Science+Business Media |
| primary_location.source.host_organization_lineage | https://openalex.org/P4310319900, https://openalex.org/P4310319965 |
| primary_location.source.host_organization_lineage_names | Springer Science+Business Media, Springer Nature |
| primary_location.license | cc-by |
| primary_location.pdf_url | https://link.springer.com/content/pdf/10.1007/s11242-022-01784-6.pdf |
| primary_location.version | publishedVersion |
| primary_location.raw_type | journal-article |
| primary_location.license_id | https://openalex.org/licenses/cc-by |
| primary_location.is_accepted | True |
| primary_location.is_published | True |
| primary_location.raw_source_name | Transport in Porous Media |
| primary_location.landing_page_url | https://doi.org/10.1007/s11242-022-01784-6 |
| publication_date | 2022-05-01 |
| publication_year | 2022 |
| referenced_works | https://openalex.org/W2209540540, https://openalex.org/W2055072688, https://openalex.org/W2060471433, https://openalex.org/W2076330525, https://openalex.org/W4245774543, https://openalex.org/W2050624061, https://openalex.org/W4240837102, https://openalex.org/W2057220674, https://openalex.org/W2166079767, https://openalex.org/W1985294539, https://openalex.org/W1977757525, https://openalex.org/W2077410716, https://openalex.org/W2265589758, https://openalex.org/W3104733276, https://openalex.org/W1494409743, https://openalex.org/W2103590221, https://openalex.org/W1985756674, https://openalex.org/W2047067227, https://openalex.org/W2075580482, https://openalex.org/W2563470914, https://openalex.org/W2071708188, https://openalex.org/W2163390284, https://openalex.org/W2141016248, https://openalex.org/W2014576476, https://openalex.org/W2020081778, https://openalex.org/W2017251277, https://openalex.org/W2036304508, https://openalex.org/W2750668224, https://openalex.org/W2506053971, https://openalex.org/W2162604832, https://openalex.org/W3003846290, https://openalex.org/W1542994047 |
| referenced_works_count | 32 |
| abstract_inverted_index.A | 221 |
| abstract_inverted_index.a | 32, 48, 60, 169, 180, 201 |
| abstract_inverted_index.by | 101, 157, 240 |
| abstract_inverted_index.in | 59, 121, 210 |
| abstract_inverted_index.is | 70, 90, 196, 199 |
| abstract_inverted_index.it | 198 |
| abstract_inverted_index.of | 3, 11, 53, 188, 193, 259 |
| abstract_inverted_index.on | 72, 146, 183 |
| abstract_inverted_index.to | 35, 153, 162, 204 |
| abstract_inverted_index.The | 1, 75, 114, 166, 191, 234, 247 |
| abstract_inverted_index.and | 8, 21, 43, 84, 98, 138, 143, 186, 244, 256 |
| abstract_inverted_index.are | 13, 151 |
| abstract_inverted_index.due | 34 |
| abstract_inverted_index.for | 15, 135 |
| abstract_inverted_index.gap | 37 |
| abstract_inverted_index.gas | 4, 115, 139, 177 |
| abstract_inverted_index.has | 118, 179, 225, 249 |
| abstract_inverted_index.new | 202 |
| abstract_inverted_index.the | 27, 36, 79, 92, 103, 107, 111, 122, 155, 159, 163, 189, 206, 215, 229, 257 |
| abstract_inverted_index.This | 45 |
| abstract_inverted_index.been | 119, 133, 226, 250 |
| abstract_inverted_index.data | 161, 255 |
| abstract_inverted_index.flow | 208 |
| abstract_inverted_index.free | 116, 124 |
| abstract_inverted_index.good | 170 |
| abstract_inverted_index.have | 132, 168 |
| abstract_inverted_index.law. | 246 |
| abstract_inverted_index.main | 76, 129 |
| abstract_inverted_index.than | 214 |
| abstract_inverted_index.that | 91, 176, 197 |
| abstract_inverted_index.this | 194 |
| abstract_inverted_index.used | 152 |
| abstract_inverted_index.uses | 96 |
| abstract_inverted_index.were | 238 |
| abstract_inverted_index.with | 172, 262 |
| abstract_inverted_index.work | 46 |
| abstract_inverted_index.(HMG) | 223 |
| abstract_inverted_index.(e.g. | 18, 41 |
| abstract_inverted_index.(ex., | 87 |
| abstract_inverted_index.Darcy | 245 |
| abstract_inverted_index.Three | 128 |
| abstract_inverted_index.based | 71, 145 |
| abstract_inverted_index.data, | 174 |
| abstract_inverted_index.fluid | 57 |
| abstract_inverted_index.fully | 54 |
| abstract_inverted_index.great | 181 |
| abstract_inverted_index.media | 63, 212 |
| abstract_inverted_index.model | 30, 52, 156, 224, 248 |
| abstract_inverted_index.novel | 49 |
| abstract_inverted_index.other | 85, 260 |
| abstract_inverted_index.rocks | 12 |
| abstract_inverted_index.study | 195, 205 |
| abstract_inverted_index.using | 228, 241, 252 |
| abstract_inverted_index.waste | 24 |
| abstract_inverted_index.water | 6, 184 |
| abstract_inverted_index.which | 69 |
| abstract_inverted_index.while | 106 |
| abstract_inverted_index.Carbon | 19 |
| abstract_inverted_index.energy | 97, 117, 125 |
| abstract_inverted_index.liquid | 137 |
| abstract_inverted_index.porous | 62, 211 |
| abstract_inverted_index.rather | 213 |
| abstract_inverted_index.solid, | 136 |
| abstract_inverted_index.theory | 68, 82, 95, 232 |
| abstract_inverted_index.Article | 219 |
| abstract_inverted_index.Capture | 20 |
| abstract_inverted_index.balance | 126 |
| abstract_inverted_index.between | 38, 78 |
| abstract_inverted_index.classic | 216 |
| abstract_inverted_index.coupled | 29, 55 |
| abstract_inverted_index.entropy | 99 |
| abstract_inverted_index.mixture | 66, 80, 93, 230 |
| abstract_inverted_index.novelty | 192 |
| abstract_inverted_index.phases. | 140 |
| abstract_inverted_index.remains | 31 |
| abstract_inverted_index.results | 167, 258 |
| abstract_inverted_index.solids. | 190 |
| abstract_inverted_index.through | 64 |
| abstract_inverted_index.Abstract | 0 |
| abstract_inverted_index.Storage, | 22 |
| abstract_inverted_index.analyses | 110 |
| abstract_inverted_index.analysis | 100 |
| abstract_inverted_index.approach | 83, 109, 203 |
| abstract_inverted_index.coupling | 67, 81, 94, 209, 231 |
| abstract_inverted_index.however, | 26 |
| abstract_inverted_index.included | 120 |
| abstract_inverted_index.industry | 17 |
| abstract_inverted_index.measured | 160 |
| abstract_inverted_index.multiple | 39 |
| abstract_inverted_index.obtained | 134 |
| abstract_inverted_index.presents | 47 |
| abstract_inverted_index.results. | 165 |
| abstract_inverted_index.tensors. | 113 |
| abstract_inverted_index.validate | 154 |
| abstract_inverted_index.Benchmark | 141 |
| abstract_inverted_index.Helmholtz | 123 |
| abstract_inverted_index.agreement | 171 |
| abstract_inverted_index.approach) | 89 |
| abstract_inverted_index.approach. | 218, 233 |
| abstract_inverted_index.challenge | 33 |
| abstract_inverted_index.classical | 147 |
| abstract_inverted_index.comparing | 158 |
| abstract_inverted_index.continuum | 148 |
| abstract_inverted_index.developed | 227 |
| abstract_inverted_index.different | 263 |
| abstract_inverted_index.equation. | 127 |
| abstract_inverted_index.equations | 131, 237 |
| abstract_inverted_index.extending | 65 |
| abstract_inverted_index.framework | 51, 236 |
| abstract_inverted_index.geoenergy | 16 |
| abstract_inverted_index.governing | 130 |
| abstract_inverted_index.influence | 182 |
| abstract_inverted_index.mechanics | 149 |
| abstract_inverted_index.migration | 178 |
| abstract_inverted_index.modelling | 144 |
| abstract_inverted_index.providing | 200 |
| abstract_inverted_index.published | 253 |
| abstract_inverted_index.transport | 7, 58, 185 |
| abstract_inverted_index.two-phase | 56 |
| abstract_inverted_index.utilizing | 102 |
| abstract_inverted_index.validated | 251 |
| abstract_inverted_index.Highlights | 220 |
| abstract_inverted_index.approaches | 86, 150 |
| abstract_inverted_index.deformable | 61 |
| abstract_inverted_index.difference | 77 |
| abstract_inverted_index.disposal); | 25 |
| abstract_inverted_index.mechanic's | 88, 108 |
| abstract_inverted_index.mechanical | 9 |
| abstract_inverted_index.migration, | 5 |
| abstract_inverted_index.multiphase | 207 |
| abstract_inverted_index.simulation | 164 |
| abstract_inverted_index.unbalanced | 104 |
| abstract_inverted_index.Geoenergy). | 44 |
| abstract_inverted_index.approaches. | 264 |
| abstract_inverted_index.deformation | 10, 187 |
| abstract_inverted_index.disciplines | 40 |
| abstract_inverted_index.established | 239 |
| abstract_inverted_index.experiments | 142 |
| abstract_inverted_index.radioactive | 23 |
| abstract_inverted_index.researchers | 261 |
| abstract_inverted_index.significant | 14 |
| abstract_inverted_index.Geomechanics | 42 |
| abstract_inverted_index.experimental | 173, 254 |
| abstract_inverted_index.interactions | 2 |
| abstract_inverted_index.mechanic’s | 217 |
| abstract_inverted_index.demonstrating | 175 |
| abstract_inverted_index.thermodynamic | 243 |
| abstract_inverted_index.non-equilibrium | 73, 242 |
| abstract_inverted_index.stress–strain | 112 |
| abstract_inverted_index.thermodynamics, | 105 |
| abstract_inverted_index.thermodynamics. | 74 |
| abstract_inverted_index.hydro-mechanical | 50, 235 |
| abstract_inverted_index.Hydro-Mechanical-Gas | 222 |
| abstract_inverted_index.hydro-mechanical-gas | 28 |
| cited_by_percentile_year.max | 97 |
| cited_by_percentile_year.min | 94 |
| countries_distinct_count | 1 |
| institutions_distinct_count | 4 |
| citation_normalized_percentile.value | 0.65313898 |
| citation_normalized_percentile.is_in_top_1_percent | False |
| citation_normalized_percentile.is_in_top_10_percent | False |