58
H. Rubin et al.
2 Conceptual Model
An idealized conceptual model for fractured permeable formation is adopted from
Rubin et al. (1997) and is shown in Fig. 2. It is geometrically similar to that
applied in some other studies (e.g., Berkowitz et al. 1988; BirkhOlzer et al.
1993a,b). The conceptual framework is a simplified presentation of a twodimensional fractured permeable formation, incorporating homogeneous and
isotropic permeable blocks, in which two sets of parallel equidistant fractures are
embedded. All fractures have identical apertures. The distance between two
adjacent fracture intersections measured along the fractures is B, and the angle of
fracture orientation with regard to the flow direction is O. A portion of the
formation contains an immobile residual NAPL, assumed to be entrapped in the
permeable blocks. NAPL storage in the fractures is considered negligible.
(a) macroscale
(b) subdomain
NAPL
conIamlnatcd
_....;rt;;.:&lcn:.:.;.;..-+i. ,
poro ... bdomaln
(e) elementary fracture volume
:
•••• '1} .
•
a '
. . . . .
Jac'.
Qrc'~ '
~Ct. '.
~ ( C +"1 --;- ch )
: ~ ",. "J"
a •
. . .. . --.....
ac::.
Q,( c·. -;-
a.
Fig. 2a-c. The basic conceptual model. a Macroscale. b Subdomain. c Elementary fracture
volume
A pump-and-treat reclamation procedure is investigated in which a uniform
horizontal flow is generated through the formation. Uniform flow conditions in a
pump-and-treat system can, conceptually, be achieved with parallel strips of
H. Rubin et al.
2 Conceptual Model
An idealized conceptual model for fractured permeable formation is adopted from
Rubin et al. (1997) and is shown in Fig. 2. It is geometrically similar to that
applied in some other studies (e.g., Berkowitz et al. 1988; BirkhOlzer et al.
1993a,b). The conceptual framework is a simplified presentation of a twodimensional fractured permeable formation, incorporating homogeneous and
isotropic permeable blocks, in which two sets of parallel equidistant fractures are
embedded. All fractures have identical apertures. The distance between two
adjacent fracture intersections measured along the fractures is B, and the angle of
fracture orientation with regard to the flow direction is O. A portion of the
formation contains an immobile residual NAPL, assumed to be entrapped in the
permeable blocks. NAPL storage in the fractures is considered negligible.
(a) macroscale
(b) subdomain
NAPL
conIamlnatcd
_....;rt;;.:&lcn:.:.;.;..-+i. ,
poro ... bdomaln
(e) elementary fracture volume
:
•••• '1} .
•
a '
. . . . .
Jac'.
Qrc'~ '
~Ct. '.
~
: ~ ",. "J"
a •
. . .. . --.....
ac::.
Q,( c·. -;-
Fig. 2a-c. The basic conceptual model. a Macroscale. b Subdomain. c Elementary fracture
volume
A pump-and-treat reclamation procedure is investigated in which a uniform
horizontal flow is generated through the formation. Uniform flow conditions in a
pump-and-treat system can, conceptually, be achieved with parallel strips of
