Ž . Journal of Contaminant Hydrology 53 2001 41–61 www.elsevier.comrlocaterjconhyd Analytical solutions of contaminant transport from finite one-, two-, and three-dimensional sources in a finite-thickness aquifer Eungyu Park ) , Hongbin Zhan Department of Geology and Geophysics, Texas A&M UniÕersity, College Station, TX 77843-3115, USA Received 26 September 2000; received in revised form 27 April 2001; accepted 1 May 2001 Abstract Analytical study of contaminant transport from a finite source in a finite-thickness aquifer is most useful in hydrological and environmental sciences and engineering but rarely investigated in previous studies. This paper provides analytical solutions of contaminant transport from one-, two-, and three-dimensional finite sources in a finite-thickness aquifer using Green’s function method. A library of unpublished analytical solutions with different finite source geometry is provided. A graphically integrated MATLAB w script is developed to calculate the temporal integrations in the analytical solutions and obtain the final solutions of concentration. The analytical solutions are examined by reproducing the solutions of some special cases discussed in previous studies. The sensitivities of the line source solutions to source geometry, dispersion coefficients, and distance to the source are tested. The contaminant concentration in the near field is found to be sensitive to the source geometry and anisotropy of the dispersion coefficients. The contaminant concentration in the far field is found to be much less sensitive to the source geometry. The physical insights of the analytical solutions are interpreted. q 2001 Elsevier Science B.V. All rights reserved. Keywords: Analytical solution; Contaminant transport; Green’s function; Advection–dispersion equation; Effect of geometry 1. Introduction Contaminant transport in the subsurface has been one of the most important research Ž topics in the hydrological sciences and engineering in the last four decades Bear, 1972; ) Corresponding author. Tel.: q 1-979-845-9683; fax: q 1-979-845-6162. Ž . E-mail address: park@hydrog.tamu.edu E. Park . 0169-7722r01r$ - see front matter q 2001 Elsevier Science B.V. All rights reserved. Ž . PII: S0169-7722 01 00136-X