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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Bibliographic Details
Published inInverse problems in science and engineering Vol. 14; no. 3; pp. 287 - 300
Main Authors Li, G. S., Tan, Y. J., Cheng, J., Wang, X. Q.
Format Journal Article
LanguageEnglish
Published Taylor & Francis 01.04.2006
Subjects
2000 Mathematics Subject Classifications: 35R30
Advection-dispersion equation
Data compatibility analysis
Determination of source magnitude
Groundwater pollution
Integral identity
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ISSN1741-5977
1741-5985
DOI10.1080/17415970500485153

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Summary: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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ISSN:1741-5977
1741-5985
DOI:10.1080/17415970500485153