HydroGeoSphere/Travel Time Probability (Transport)
Output travel time statisticsEdit
HydroGeoSphere will perform descriptive statistics, following Eqs. (2.154) and (2.155): mean travel time, mode and standard deviation will be calculated at each node/element.
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Integrate production zoneEdit
- fname Name of the file which contains the list of elements that contain a mass source function and the tabulated functions. It is formatted as follows:
- (a) nprodel Number of production elements. Read the following nprodel times:
- i. nel, ifunc The element number and the ID (number) of the associated tabulated function.
- (b) maxdatprod, delta_conv Size of the largest set of tabulated data which follows and the timestep size delta_conv for evaluating the convolution integral in
- Equation 5.16. Read the following for each of the ifunc time-series:
- i. ndata Number of data to read for the current time-series.
- ii. time, val Time and corresponding source value.
- (a) nprodel Number of production elements. Read the following nprodel times:
If ifunc = 0, then corresponds to a unit and instantaneous mass input function, and thus no time-series are required in the input file.
The element nel with the maximum value of ifunc determines how many sets of time-series data must be supplied.
This option is meant to simulate a forward transport solution by means of a backward solution. It requires the problem to be backward-in-time. Integration of the backward travel time PDFs will be performed over a series of element numbers, which are input in the .np file. In a forward transport run, these elements would contain a mass source . The following equation is solved at each time-step in order to simulate the output mass flux resulting from a forward transport (see [Cornaton, 2003]):
- (Equation 5.16)
if is an arbitrary mass source function [M L^{−3} T^{−1}], or
- (Equation 5.17)
if is a unit and instantaneous mass input function [L^{−3} T^{−1}]. denotes the domain of elements where .
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