Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows
The theoretical relationships between simple and cross-covariances of the transmissivity and the hydraulic head, deduced from the linearisation of the flow equation are used for cokriging transmissivity field with data from one then two quasi steady-state flows. First a non-exhaustive historical rev...
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Académie des sciences
2023-12-01
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| Series: | Comptes Rendus. Géoscience |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/geoscience/articles/10.5802/crgeos.247/ |
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| author | de Fouquet, Chantal Nos, Jérémy |
| author_facet | de Fouquet, Chantal Nos, Jérémy |
| author_sort | de Fouquet, Chantal |
| collection | DOAJ |
| description | The theoretical relationships between simple and cross-covariances of the transmissivity and the hydraulic head, deduced from the linearisation of the flow equation are used for cokriging transmissivity field with data from one then two quasi steady-state flows. First a non-exhaustive historical review of geostatistical modelling based on flow equations in a simplified case is given. Then original results show that the estimation of the logtransmissivity by cokriging with head data from two flows is improved compared with the case of head data from a single flow. The estimation in the presence of a transmissivity barrier is thoroughly investigated. Practical conclusions are drawn and perspectives based on the recent numerical variogram are proposed. |
| format | Article |
| id | doaj-art-e04bb117c15241cd91f01a53089b1f03 |
| institution | Kabale University |
| issn | 1778-7025 |
| language | English |
| publishDate | 2023-12-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Géoscience |
| spelling | doaj-art-e04bb117c15241cd91f01a53089b1f032025-02-07T10:40:14ZengAcadémie des sciencesComptes Rendus. Géoscience1778-70252023-12-01355S160561510.5802/crgeos.24710.5802/crgeos.247Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flowsde Fouquet, Chantal0https://orcid.org/0000-0002-0008-4801Nos, Jérémy1https://orcid.org/0000-0002-9315-7554Mines Paris, PSL, Centre de géosciences, 77300 Fontainebleau, FranceMines Paris, PSL, FranceThe theoretical relationships between simple and cross-covariances of the transmissivity and the hydraulic head, deduced from the linearisation of the flow equation are used for cokriging transmissivity field with data from one then two quasi steady-state flows. First a non-exhaustive historical review of geostatistical modelling based on flow equations in a simplified case is given. Then original results show that the estimation of the logtransmissivity by cokriging with head data from two flows is improved compared with the case of head data from a single flow. The estimation in the presence of a transmissivity barrier is thoroughly investigated. Practical conclusions are drawn and perspectives based on the recent numerical variogram are proposed.https://comptes-rendus.academie-sciences.fr/geoscience/articles/10.5802/crgeos.247/Inverse problemFlow equationSteady stateCokrigingGeostatistics |
| spellingShingle | de Fouquet, Chantal Nos, Jérémy Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows Comptes Rendus. Géoscience Inverse problem Flow equation Steady state Cokriging Geostatistics |
| title | Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows |
| title_full | Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows |
| title_fullStr | Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows |
| title_full_unstemmed | Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows |
| title_short | Cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows |
| title_sort | cokriging of transmissivity from head measurements revisited in the case of two quasi steady state flows |
| topic | Inverse problem Flow equation Steady state Cokriging Geostatistics |
| url | https://comptes-rendus.academie-sciences.fr/geoscience/articles/10.5802/crgeos.247/ |
| work_keys_str_mv | AT defouquetchantal cokrigingoftransmissivityfromheadmeasurementsrevisitedinthecaseoftwoquasisteadystateflows AT nosjeremy cokrigingoftransmissivityfromheadmeasurementsrevisitedinthecaseoftwoquasisteadystateflows |