RT Journal Article
ID 2103bbce14a283c9
A1 Kamyab, Mohammadreza
A1 Dejam, Morteza
A1 Masihi, Mohsen
A1 Ghazanfari, Mohammad Hossein
T1 THE GAS-OIL GRAVITY DRAINAGE MODEL IN A SINGLE MATRIX BLOCK: A NEW RELATIONSHIP BETWEEN RELATIVE PERMEABILITY AND CAPILLARY PRESSURE FUNCTIONS
JF Journal of Porous Media
JO JPM
YR 2011
FD 2011-09-09
VO 14
IS 8
SP 709
OP 720
K1 mathematical modeling
K1 gravity drainage
K1 power law models
K1 nonlinearity
K1 numerically Laplace inversion method
AB This work concerns modeling of gas-oil gravity drainage for a single block of naturally fractured reservoirs. The non-linearity induced from saturation-dependant capillary pressure and relative permeability functions makes a gravity drainage model difficult to analytically and numerically solve. Relating the capillary pressure and relative permeability functions is a potential method to overcome this problem. However, no attempt has been made in this regard. In this study a generalized one-dimensional form of gas-oil gravity drainage model in a single matrix block, presented in the literature, is considered. In contrast with commonly used forms of capillary pressure and relative permeability functions, more realistic models, which are in power law, are used in the model. It has been found that the nonlinearity of the generalized model is canceled only if the powers of capillary pressure and relative permeability functions are related as *n* = *m* + 1. The Fourier Laplace inversion method is applied to numerically solve the developed model and generate the drainage flow rate and the oil saturation profiles at different values of *m* and *n* powers. The results of this work might help to obtain a new transfer function for a dual-porosity model, which might improve the reliability of simulators for evaluation of naturally fractured reservoirs.
PB Begell House
LK http://dl.begellhouse.com/journals/49dcde6d4c0809db,0905ce7b5f0974bb,2103bbce14a283c9.html