×
Li, G. S.; Tan, Y. J.; Cheng, J.; Wang, X. Q.

Determining magnitude of groundwater pollution sources by data compatibility analysis. (English) Zbl 1194.76269

Inverse Probl. Sci. Eng. 14, No. 3, 287-300 (2006).
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.

Cited in 14 Documents

MSC:

76S05 Flows in porous media; filtration; seepage
86A22 Inverse problems in geophysics
86A05 Hydrology, hydrography, oceanography

Keywords:

groundwater pollution; advection-dispersion equation; determination of source magnitude; integral identity; data compatibility analysis
PDF BibTeX XML Cite
\textit{G. S. Li} et al., Inverse Probl. Sci. Eng. 14, No. 3, 287--300 (2006; Zbl 1194.76269)
Full Text: DOI
  • logo of hbz
  • logo of WorldCat

References:

[1] DOI: 10.1111/j.1745-6584.1992.tb01793.x
[2] DOI: 10.1109/87.880592
[3] Atmadja, J. 2001. ”The marching-jury backward beam equation method and its application to backtracking non-reactive plumes in groundwater”. Columbia University. Ph.D. Dissertation, 121
[4] Atmadja J, Computational Methods for Subsurface Flow and Transport pp 397– (2000)
[5] DOI: 10.1006/enfo.2001.0055
[6] DOI: 10.1029/2001WR000223
[7] DOI: 10.1029/2001WR001021
[8] Bagtzoglou, AC. 1990. ”Particle-grid methods with application to reacting flows and reliable solute source identification”. University of California Irvine. Ph.D. Dissertation, 246
[9] Bagtzoglou AC, NATO ASI Series 29, in: Water Resources Engineering Risk Assement pp 189– (1991)
[10] DOI: 10.1007/BF00872184
[11] Birchwood, RA. 1999. Identifying the location and release characteristics of a groundwater pollution source using spectral analysis. Proceedings of the 19th Annual American Geophysical Union Hydrology Days Conference. 1999, Fort Collins, Colorado. pp.37–50. Colorado State University.
[12] DOI: 10.1088/0266-5611/18/6/312 · Zbl 1023.35093
[13] DOI: 10.1029/WR019i003p00779
[14] DOI: 10.1061/(ASCE)0733-9496(1997)123:4(199)
[15] DOI: 10.1023/A:1026527901213
[16] DOI: 10.1061/(ASCE)0733-9496(2001)127:1(20)
[17] DOI: 10.1111/j.1745-6584.1998.tb01085.x
[18] DOI: 10.1061/(ASCE)0733-9496(2004)130:6(506)
[19] DOI: 10.1080/15275920490495873
[20] DOI: 10.1029/93WR02656
[21] DOI: 10.1029/95WR02383
[22] DOI: 10.1016/S0169-7722(98)00078-3
[23] Sperb RP, Maximum Principles and their Applications (1984)
[24] Sun NZ, Inverse Problem in Groundwater Modeling (1994)
[25] Sun NZ, Mathematical Model of Groundwater Pollution (1996)
[26] DOI: 10.1016/0022-1694(92)90092-A
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.