TY - JOUR
T1 - Analytical expressions for macrodispersion coefficients in three-dimensional randomly heterogeneous porous media
AU - Hsu, Kuo Chin
PY - 2003
Y1 - 2003
N2 - The dispersion coefficient is a fundamental parameter in modeling solute transport and can be determined from the particle displacement covariance. Closed-form analytical expressions for the particle displacement covariance and macrodispersion coefficient for solute transport in three dimensional heterogeneous porous media are only available in first order for a few correlation models of log-hydraulic conductivity. The methods used to obtain the analytical expressions usually require a specific correlation function of natural-log hydraulic conductivity. Adapting the methodology proposed by Hsu (2002) for obtaining macrodispersion coefficients in two dimensional statistical heterogeneous porous media, we extend the method to three dimensions. These expressions are analytical and include only the correlation function of natural-log hydraulic conductivity. They are valid for any statistically isotro-pic log-hydraulic conductivity correlation function for which the resulting integrals converge.
AB - The dispersion coefficient is a fundamental parameter in modeling solute transport and can be determined from the particle displacement covariance. Closed-form analytical expressions for the particle displacement covariance and macrodispersion coefficient for solute transport in three dimensional heterogeneous porous media are only available in first order for a few correlation models of log-hydraulic conductivity. The methods used to obtain the analytical expressions usually require a specific correlation function of natural-log hydraulic conductivity. Adapting the methodology proposed by Hsu (2002) for obtaining macrodispersion coefficients in two dimensional statistical heterogeneous porous media, we extend the method to three dimensions. These expressions are analytical and include only the correlation function of natural-log hydraulic conductivity. They are valid for any statistically isotro-pic log-hydraulic conductivity correlation function for which the resulting integrals converge.
UR - http://www.scopus.com/inward/record.url?scp=0037809596&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0037809596&partnerID=8YFLogxK
U2 - 10.1080/02533839.2003.9670791
DO - 10.1080/02533839.2003.9670791
M3 - Article
AN - SCOPUS:0037809596
SN - 0253-3839
VL - 26
SP - 375
EP - 380
JO - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
JF - Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
IS - 3
ER -