TY - JOUR
T1 - Structural reliability analysis for one-dimensional, two-phase miscible flow
AU - Coker, David A.
AU - Lindquist, W. Brent
N1 - Copyright:
Copyright 2018 Elsevier B.V., All rights reserved.
PY - 1994
Y1 - 1994
N2 - An analytic structural reliability analysis is performed for first contact miscible, two-phase flow in a one-dimensional porous medium. The sensitivity of the probability for time-to-breakthrough is examined for two common models of the joint probability distribution between the porosity and the permeability of the medium. First-order analysis is essentially exact for the normal-normal model. The accuracy of first-order analysis for the normal-lognormal model is determined using a specific example of field data. A cyclical dependence on the breakthrough probability to the statistical nature of the porosity and permeability is found in the normal-normal model. In the normal-lognormal model, this cyclical variation is reduced, if not entirely eliminated, in favor of dependence on the statistical nature of the permeability.
AB - An analytic structural reliability analysis is performed for first contact miscible, two-phase flow in a one-dimensional porous medium. The sensitivity of the probability for time-to-breakthrough is examined for two common models of the joint probability distribution between the porosity and the permeability of the medium. First-order analysis is essentially exact for the normal-normal model. The accuracy of first-order analysis for the normal-lognormal model is determined using a specific example of field data. A cyclical dependence on the breakthrough probability to the statistical nature of the porosity and permeability is found in the normal-normal model. In the normal-lognormal model, this cyclical variation is reduced, if not entirely eliminated, in favor of dependence on the statistical nature of the permeability.
UR - http://www.scopus.com/inward/record.url?scp=0028484117&partnerID=8YFLogxK
U2 - 10.1137/S0036139992239431
DO - 10.1137/S0036139992239431
M3 - Article
AN - SCOPUS:0028484117
VL - 54
SP - 935
EP - 953
JO - SIAM Journal on Applied Mathematics
JF - SIAM Journal on Applied Mathematics
SN - 0036-1399
IS - 4
ER -