Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement Errors
The hydraulic parameters representative of actual aquifer conditions can be obtained through aquifer tests formerly known as pumping tests. Diverse methodologies based on analytical or numerical solutions have been proposed for the interpretation of aquifer tests; however, measurement and model erro...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Water |
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| Online Access: | https://www.mdpi.com/2073-4441/14/4/522 |
| _version_ | 1797475949464256512 |
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| author | Hugo Enrique Júnez-Ferreira |
| author_facet | Hugo Enrique Júnez-Ferreira |
| author_sort | Hugo Enrique Júnez-Ferreira |
| collection | DOAJ |
| description | The hydraulic parameters representative of actual aquifer conditions can be obtained through aquifer tests formerly known as pumping tests. Diverse methodologies based on analytical or numerical solutions have been proposed for the interpretation of aquifer tests; however, measurement and model errors are often neglected, which could lead to hydraulic parameter values that do not reflect the aquifer conditions. In this paper, a new alternative is presented for the interpretation of aquifer tests in confined aquifers based on the Cooper–Jacob solution by means of the dynamic Kalman filter and a nonlinear optimization method. This proposal was tested in two previously published case studies; the measured drawdowns were filtered by considering measurement and model errors to match the Cooper–Jacob solution. For the case studies, the results show that filtering the measured drawdowns leads to variations of up to 49.97% in the values for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>T</mi></semantics></math></inline-formula> and 150% for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>S</mi></semantics></math></inline-formula> when compared to the values determined by methodologies that neglect measurement and model errors. A poor match between filtered and measured data reflects large measurement errors and considerable deviations of the aquifer conditions with respect to the proposed model. |
| first_indexed | 2024-03-09T20:52:04Z |
| format | Article |
| id | doaj.art-eb362f5512274dc3a0cced111993d2b9 |
| institution | Directory Open Access Journal |
| issn | 2073-4441 |
| language | English |
| last_indexed | 2024-03-09T20:52:04Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Water |
| spelling | doaj.art-eb362f5512274dc3a0cced111993d2b92023-11-23T22:33:17ZengMDPI AGWater2073-44412022-02-0114452210.3390/w14040522Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement ErrorsHugo Enrique Júnez-Ferreira0Licenciatura en Ciencia y Tecnología del Agua and Doctorado en Ciencias de la Ingeniería, Universidad Autónoma de Zacatecas, Campus UAZ Siglo XXI, Carretera Zacatecas-Guadalajara Km. 6, Ejido La Escondida, Zacatecas C.P. 98160, MexicoThe hydraulic parameters representative of actual aquifer conditions can be obtained through aquifer tests formerly known as pumping tests. Diverse methodologies based on analytical or numerical solutions have been proposed for the interpretation of aquifer tests; however, measurement and model errors are often neglected, which could lead to hydraulic parameter values that do not reflect the aquifer conditions. In this paper, a new alternative is presented for the interpretation of aquifer tests in confined aquifers based on the Cooper–Jacob solution by means of the dynamic Kalman filter and a nonlinear optimization method. This proposal was tested in two previously published case studies; the measured drawdowns were filtered by considering measurement and model errors to match the Cooper–Jacob solution. For the case studies, the results show that filtering the measured drawdowns leads to variations of up to 49.97% in the values for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>T</mi></semantics></math></inline-formula> and 150% for <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>S</mi></semantics></math></inline-formula> when compared to the values determined by methodologies that neglect measurement and model errors. A poor match between filtered and measured data reflects large measurement errors and considerable deviations of the aquifer conditions with respect to the proposed model.https://www.mdpi.com/2073-4441/14/4/522Kalman filteraquifer testCooper–Jacob solutionnonlinear optimizationtransmissivitystorage |
| spellingShingle | Hugo Enrique Júnez-Ferreira Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement Errors Water Kalman filter aquifer test Cooper–Jacob solution nonlinear optimization transmissivity storage |
| title | Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement Errors |
| title_full | Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement Errors |
| title_fullStr | Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement Errors |
| title_full_unstemmed | Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement Errors |
| title_short | Use of the Kalman Filter for the Interpretation of Aquifer Tests Including Model and Measurement Errors |
| title_sort | use of the kalman filter for the interpretation of aquifer tests including model and measurement errors |
| topic | Kalman filter aquifer test Cooper–Jacob solution nonlinear optimization transmissivity storage |
| url | https://www.mdpi.com/2073-4441/14/4/522 |
| work_keys_str_mv | AT hugoenriquejunezferreira useofthekalmanfilterfortheinterpretationofaquifertestsincludingmodelandmeasurementerrors |