Abstract
Velocity is conditioned on log transmissivity and/or hydraulic head data via cokriging. An early time analytical solution is combined with a pseudo-Fickian Galerkin finite element scheme for later time to obtain conditional predictions of concentration and lower bounds on its variance and coefficient of variation. The pseudo-Fickian scheme involves a conditional dispersion tensor which depends on information and varies in space-time. Hence the predicted plumes travel along curved trajectories and attain irregular, non-Gaussian shapes. A measure of uncertainty is computed for the original source location of a solute "particle' whose position at some late time is known from sampling. Spatial maps of this "particle origin covariance' provide vivid images of preferential flow paths and exclusion zones identified by the available data. These concepts are illustrated and results on instantaneous point and area sources are given. -from Authors
| Original language | English (US) |
|---|---|
| Pages (from-to) | 53-63 |
| Number of pages | 11 |
| Journal | Water Resources Research |
| Volume | 31 |
| Issue number | 1 |
| State | Published - 1995 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Aquatic Science
- Environmental Science(all)
- Environmental Chemistry
- Water Science and Technology
Cite this
Eulerian-Lagrangian analysis of transport conditioned on hydraulic data 2. Effects of log transmissitivity and hydraulic head measurements. / Dongxiao Zhang, Zhang; Neuman, Shlomo P.
In: Water Resources Research, Vol. 31, No. 1, 1995, p. 53-63.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Eulerian-Lagrangian analysis of transport conditioned on hydraulic data 2. Effects of log transmissitivity and hydraulic head measurements
AU - Dongxiao Zhang, Zhang
AU - Neuman, Shlomo P
PY - 1995
Y1 - 1995
N2 - Velocity is conditioned on log transmissivity and/or hydraulic head data via cokriging. An early time analytical solution is combined with a pseudo-Fickian Galerkin finite element scheme for later time to obtain conditional predictions of concentration and lower bounds on its variance and coefficient of variation. The pseudo-Fickian scheme involves a conditional dispersion tensor which depends on information and varies in space-time. Hence the predicted plumes travel along curved trajectories and attain irregular, non-Gaussian shapes. A measure of uncertainty is computed for the original source location of a solute "particle' whose position at some late time is known from sampling. Spatial maps of this "particle origin covariance' provide vivid images of preferential flow paths and exclusion zones identified by the available data. These concepts are illustrated and results on instantaneous point and area sources are given. -from Authors
AB - Velocity is conditioned on log transmissivity and/or hydraulic head data via cokriging. An early time analytical solution is combined with a pseudo-Fickian Galerkin finite element scheme for later time to obtain conditional predictions of concentration and lower bounds on its variance and coefficient of variation. The pseudo-Fickian scheme involves a conditional dispersion tensor which depends on information and varies in space-time. Hence the predicted plumes travel along curved trajectories and attain irregular, non-Gaussian shapes. A measure of uncertainty is computed for the original source location of a solute "particle' whose position at some late time is known from sampling. Spatial maps of this "particle origin covariance' provide vivid images of preferential flow paths and exclusion zones identified by the available data. These concepts are illustrated and results on instantaneous point and area sources are given. -from Authors
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M3 - Article
VL - 31
SP - 53
EP - 63
JO - Water Resources Research
JF - Water Resources Research
SN - 0043-1397
IS - 1
ER -