Determining magnitude of groundwater pollution sources by data compatibility analysis
This article deals with an inverse problem of determining source functions in an advection-dispersion equation under final observations. By using integral identity methods, a new approach which can be called data compatibility analysis methodology is presented and applied to solve the inverse source...
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| Published in | Inverse problems in science and engineering Vol. 14; no. 3; pp. 287 - 300 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis
01.04.2006
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| Subjects | |
| Online Access | Get full text |
| ISSN | 1741-5977 1741-5985 |
| DOI | 10.1080/17415970500485153 |
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| Abstract | This article deals with an inverse problem of determining source functions in an advection-dispersion equation under final observations. By using integral identity methods, a new approach which can be called data compatibility analysis methodology is presented and applied to solve the inverse source problem. By this method, the unknown is confined to an explicit admissible set which can be easily estimated through the compatible conditions. A real life example for determining magnitude of groundwater pollution sources in a actual geological region is investigated. An average magnitude of pollution sources here is obtained by the data compatibility analysis which also coincides with the results of numerical computations. |
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| AbstractList | This article deals with an inverse problem of determining source functions in an advection-dispersion equation under final observations. By using integral identity methods, a new approach which can be called data compatibility analysis methodology is presented and applied to solve the inverse source problem. By this method, the unknown is confined to an explicit admissible set which can be easily estimated through the compatible conditions. A real life example for determining magnitude of groundwater pollution sources in a actual geological region is investigated. An average magnitude of pollution sources here is obtained by the data compatibility analysis which also coincides with the results of numerical computations. |
| Author | Wang, X. Q. Tan, Y. J. Li, G. S. Cheng, J. |
| Author_xml | – sequence: 1 givenname: G. S. surname: Li fullname: Li, G. S. organization: Lab of Math for Nonlinear Sci, Fudan University – sequence: 2 givenname: Y. J. surname: Tan fullname: Tan, Y. J. organization: Institute of Mathematics, Fudan University – sequence: 3 givenname: J. surname: Cheng fullname: Cheng, J. organization: Institute of Mathematics, Fudan University – sequence: 4 givenname: X. Q. surname: Wang fullname: Wang, X. Q. organization: Zibo Managing Office of Water Resources |
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| Cites_doi | 10.1007/BF00872184 10.1088/0266-5611/18/6/312 10.1080/15275920490495873 10.1029/95WR02383 10.1109/87.880592 10.1061/(ASCE)0733-9496(2001)127:1(20) 10.1023/A:1026527901213 10.1007/978-1-4757-2558-2 10.1061/(ASCE)0733-9496(2004)130:6(506) 10.1006/enfo.2001.0055 10.1016/0022-1694(92)90092-A 10.1111/j.1745-6584.1992.tb01793.x 10.1016/S0169-7722(98)00078-3 10.1029/2001WR000223 10.1029/WR019i003p00779 10.1029/93WR02656 10.1061/(ASCE)0733-9496(1997)123:4(199) 10.1007/978-3-642-76971-9_12 10.1111/j.1745-6584.1998.tb01085.x |
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| SubjectTerms | 2000 Mathematics Subject Classifications: 35R30 Advection-dispersion equation Data compatibility analysis Determination of source magnitude Groundwater pollution Integral identity |
| Title | Determining magnitude of groundwater pollution sources by data compatibility analysis |
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