Domenico: Domenico solution

In CJBarry/AnTrans: Analytical Solutions for Contaminant Transport in Groundwater

Description

The Domenico 1987 analytical solution to contaminant transport in uniform groundwater flow, including longitudinal and transverse dispersion and first-order degradation.

Usage

const_Dom(C0 = 1, x, y, z, t, vx, ax, ay, az, lambda, sY, sZ, Rf = 1,
  decaysorbed = TRUE)

square_Dom(C0 = 1, x, y, z, t, vx, ax, ay, az, lambda, sY, sZ, dur)

Arguments

C0	source concentration
x, y, z	evaluation locations
t	evaluation time
vx	velocity in x direction (it is assumed that velocity only has an x component); this can be divided by the retardation factor to model sorption
ax, ay, az	dispersivities (units of length) in x, y and z directions
lambda	first-order decay constant
sY, sZ	source dimensions in y and z directions
dur	duration of pulse

Details

const_Dom returns the solution from a constant source which starts at time 0. square_Dom returns the solution from a finite duration constant source that starts at time 0 and stops after dur.

Value

Numeric result, of same form as x, y or z. x, y and z may be recycled.

Note

Some special cases may be achieved with certain parameter sets.

If lambda = 0 (no degradation), the Domenico-Robbins (1985) solution results.
If ax = 0 (no longitudinal dispersion), the Domenico-Palciauskas (1982) solution results.
If ay = az = 0 (no transverse dispersion), the Bear (1979) solution results.
If ay = az = 0 and lambda = 0, the Ogata-Banks (1961) solution results.

References

Domenico, P. A. (1987). An analytical model for multidimensional transport of a decaying contaminant species. Journal of Hydrology, 91(1), 49-58. https://doi.org/10.1016/0022-1694(87)90127-2

CJBarry/AnTrans documentation built on May 20, 2019, 2:41 p.m.