Abstract—This paper describes a one-dimensional numerical
model for natural gas production from the dissociation of methane
hydrate in hydrate-capped gas reservoir under depressurization and
thermal stimulation. Some of the hydrate reservoirs discovered are
overlying a free-gas layer, known as hydrate-capped gas reservoirs.
These reservoirs are thought to be easiest and probably the first type
of hydrate reservoirs to be produced. The mathematical equations
that can be described this type of reservoir include mass balance, heat
balance and kinetics of hydrate decomposition. These non-linear
partial differential equations are solved using finite-difference fully
implicit scheme. In the model, the effect of convection and
conduction heat transfer, variation change of formation porosity, the
effect of using different equations of state such as PR and ER and
steam or hot water injection are considered. In addition distributions
of pressure, temperature, saturation of gas, hydrate and water in the
reservoir are evaluated. It is shown that the gas production rate is a
sensitive function of well pressure.
Keywords—Hydrate reservoir, numerical modeling,
depressurization, thermal stimulation, gas generation.
NOMENCLATURE
Adec = specific surface area per unit bulk volume, m
-1
AHS = specific area of hydrate particles, m
-1
E = activation energy, J/mol
fe = fugacity of gas at T and pe, kPa
fg = fugacity of gas at T and pg, kPa
l
g
.
= generation rate of phase l per unit volume, kg/m3s
h
l
= specific enthalpy of phase l, J/kg
K = absolute permeability, md
K
c
= thermal conductivity, w/m·K
K
0
d
= intrinsic decomposition rate constant, kmol/m2kPa·s
k
d
= decomposition rate constant, kmol/m2kPa·s
k
rl
= relative permeability to phase l
M
c
= molar mass of component c, kg/kmol
NH = hydrate number (= 5.75)
P
l
= pressure of phase l, kPa
P
c
= capillary pressure between gas and water, kPa
P
e
= H-V-Lw equilibrium pressure, kPa
q
ml
= mass production rate of phase l per unit volume, kg/m3s
H
Q
.
= heat of hydrate decomposition per unit volume, J/m3s
F. Esmaeilzadeh (phone: +987112343833; fax: +987116287294; e-mail:
esmaeil@shirazu.ac.ir), M. E. Zeighami (e-mail: mo_zeighami@yahoo.com),
and J. Fathi are with Chemical and Petrochemical Engineering Department,
Shiraz University, Shiraz, Iran.
in
Q
.
= direct heat input per unit volume, J/m3s
R = gas constant (= 8.314 J/mol·K)
S
wr
= irreducible water saturation
S
gr
= residual gas saturation
S
l
= saturation of phase l
l S = normalized saturation of phase l
t = time, s
T = temperature, K
v
l
= velocity of phase l, m/s
U
l
= specific internal energy of phase l, J/kg
= porosity
l
= viscosity of phase l, Pa·s
l
= density of phase l, kg/m3
SUBSCRIPT
g = gas
w = water
H = hydrate
R = rock
i = initial condition
I. INTRODUCTION
AS hydrates are ice-like crystalline materials and non-
stochiometric compounds that contain water and gases
with small molecules such as CH
4
and which can occur at
temperatures above the freezing point of water. Gas hydrates
are treated as a potential energy resource for the future
because a large amount of methane gas is trapped in hydrates
reservoirs. One volume of hydrate could release 150 to 180
volumes of gas at standard conditions. The high concentration
of methane gas puts the energy content of hydrate-bearing
formations on a par with bitumen and heavy-oil reservoirs,
and much higher than the energy content of other
unconventional sources of gas, such as coal bed [1].
According to [2], the world resources of carbon trapped in
hydrates have been estimated to be twice the amount of
carbon in known fossil fuel deposits. There fore, developing
methods for their production behavior are attracting
considerable attention.
The technologies for recovering methane from hydrates are
very challenging and are still under development. The three
most practical methods are: (1) depressurization, in which the
pressure of an adjacent gas phase is lowered to cause
decomposition. (2) thermal stimulation, in which an external
source of energy is used, and (3) inhibitor injection, in which
F. Esmaeilzadeh, M. E. Zeighami, and J. Fathi
1-D Modeling of Hydrate Decomposition in
Porous Media
G
PROCEEDINGS OF WORLD ACADEMY OF SCIENCE, ENGINEERING AND TECHNOLOGY VOLUME 31 JULY 2008 ISSN 1307-6884
PWASET VOLUME 31 JULY 2008 ISSN 1307-6884 648 © 2008 WASET.ORG
World Academy of Science, Engineering and Technology
International Journal of Chemical and Molecular Engineering
Vol:2, No:5, 2008
49 International Scholarly and Scientific Research & Innovation 2(5) 2008 ISNI:0000000091950263
Open Science Index, Chemical and Molecular Engineering Vol:2, No:5, 2008 publications.waset.org/3808/pdf