 |
| Titel |
Analytical solution to two-dimensional advection-dispersion equation in cylindrical coordinates subject to finite exit boundary |
| VerfasserIn |
Chien-Wen Lin, Jui-Sheng Chen, Juan-Tse Chen |
| Konferenz |
EGU General Assembly 2011
|
| Medientyp |
Artikel
|
| Sprache |
Englisch
|
| Digitales Dokument |
PDF |
| Erschienen |
In: GRA - Volume 13 (2011) |
| Datensatznummer |
250046853
|
|
|
|
|
|
| Zusammenfassung |
| Many important sources of subsurface contamination come from ground surface. Surface
pollutant may easily move from the top soil to the unconfined aquifer. The filed tracer
infiltration test is an efficient method for determining the longitudinal and transverse
dispersion coefficients in subsurface soil. This study presents the exact analytical solutions
for solute transport in an infiltration tracer test. The two-dimensional advective-dispersive
transport in cylindrical geometry, finite-length medium subject to the third-type inlet
boundary conditions is solved using the second kind finite Hankel transform and the
generalized integral transform technique The developed analytical solutions are compared
with the solutions for semi-infinite domain available in literature to illustrate the impacts
of the inlet and outlet boundary conditions. Results show that the exit boundary
conditions have pronounced impacts on the breakthrough curves for small Peclet
number. The solution for the finite-length exit boundary condition predicts lower
concentrations than the solutions for the infinite-length boundary condition. The influences
of exit boundary conditions diminish when Peclet numbers increase. Numerical
evaluations of the developed analytical solutions for the finite domain suffer from
the problem of computationally time-consuming because that the convergences of
the series progresses slowly for large Peclet number. The developed solutions for
finite domain should be especially useful for interpreting the infiltration tracer test. |
|
|
|
|
|