Eulerian-Lagrangian analysis of transport conditioned on hydraulic data 2. Effects of log transmissitivity and hydraulic head measurements

Zhang Dongxiao Zhang, Shlomo P Neuman

Research output: Contribution to journalArticle

23 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)53-63
Number of pages11
JournalWater Resources Research
Volume31
Issue number1
StatePublished - 1995
Externally publishedYes

Fingerprint

Lagrangian analysis
hydraulic head
Tensors
fluid mechanics
Trajectories
Hydraulics
Sampling
hydraulics
preferential flow
travel
space and time
trajectories
solutes
uncertainty
prediction
transmissivity
solute
plume
trajectory
sampling

ASJC Scopus subject areas

  • Aquatic Science
  • Environmental Science(all)
  • Environmental Chemistry
  • Water Science and Technology

Cite this

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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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