TY - JOUR
T1 - On two-phase flow in fractured media
AU - Yeh, Li-Ming
PY - 2002/8/1
Y1 - 2002/8/1
N2 - A model describing two-phase, incompressible, immiscible flow in fractured media is discussed. A fractured medium is regarded as a porous medium consisting of two superimposed continua, a continuous fracture system and a discontinuous system of medium-sized matrix blocks. Transport of fluids through the medium is primarily within the fracture system. No flow is allowed between blocks, and only matrix-fracture flow is possible. Matrix block system plays the role of a global source distributed over the entire medium. Two-phase flow in a fractured medium is strongly related to phase mobilities and capillary pressures. In this work, four relations for these functions are presented, and the existence of weak solutions under each relation will also be shown.
AB - A model describing two-phase, incompressible, immiscible flow in fractured media is discussed. A fractured medium is regarded as a porous medium consisting of two superimposed continua, a continuous fracture system and a discontinuous system of medium-sized matrix blocks. Transport of fluids through the medium is primarily within the fracture system. No flow is allowed between blocks, and only matrix-fracture flow is possible. Matrix block system plays the role of a global source distributed over the entire medium. Two-phase flow in a fractured medium is strongly related to phase mobilities and capillary pressures. In this work, four relations for these functions are presented, and the existence of weak solutions under each relation will also be shown.
KW - Capillary pressure
KW - Fractured media
KW - Two-phase flow
UR - http://www.scopus.com/inward/record.url?scp=0036672511&partnerID=8YFLogxK
U2 - 10.1142/S0218202502002045
DO - 10.1142/S0218202502002045
M3 - Article
AN - SCOPUS:0036672511
VL - 12
SP - 1075
EP - 1107
JO - Mathematical Models and Methods in Applied Sciences
JF - Mathematical Models and Methods in Applied Sciences
SN - 0218-2025
IS - 8
ER -