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SUMMARY:Multiscale model reduction for coupled problems in fractured porou
s media
DTSTART;VALUE=DATE-TIME:20180517T133200Z
DTEND;VALUE=DATE-TIME:20180517T134700Z
DTSTAMP;VALUE=DATE-TIME:20210928T203000Z
UID:indico-contribution-176-234@events.interpore.org
DESCRIPTION:Speakers: Maria Vasilyeva ()\nIn this work\, we consider multi
-physics problems (flow\, transport\, and mechanics) in fractured porous m
edia and present upscaling and multiscale methods for construction of a co
arse-grid model. We propose a rigorous and accurate multiscale solver and
upscaling framework based on some recently developed multiscale methods.
Our proposed method consists of identifying multicontinua parameters via a
ppropriate local solutions in oversampled regions. The method involves two
basic steps: (1) the construction of multiscale basic functions that take
into account small scale heterogeneities in the local domains and (2) the
macroscopic equations for the coarse-scale model. In contrast to the av
ailable techniques\, this method can give rigorous upper bounds for the er
ros. This method also more general technology that takes into account the
different scale processes. We present numerical results for a transport an
d flow problems\, poroelasticity problems and problems with dual-continuum
background models. Our numerical results show that the proposed approac
h can provide good accuracy for problems in fractured porous media.\n\nhtt
ps://events.interpore.org/event/2/contributions/234/
LOCATION:New Orleans
URL:https://events.interpore.org/event/2/contributions/234/
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SUMMARY:Integrated Compositional Simulation and Optimization for Gas Mobil
ity Control Techniques during CO2 Sequestration in Cranfield
DTSTART;VALUE=DATE-TIME:20180517T144400Z
DTEND;VALUE=DATE-TIME:20180517T145900Z
DTSTAMP;VALUE=DATE-TIME:20210928T203000Z
UID:indico-contribution-176-231@events.interpore.org
DESCRIPTION:Speakers: Xueying Lu (UT Austin)\nCO2 sequestration in subsurf
ace often suffers from poor volumetric sweep efficiency due to low gas vis
cosity\, low gas density\, and formation heterogeneity. This study aims to
investigate CO2 mobility control techniques of Water Alternating Gas (WAG
) and Surfactant (or Nanoparticle) Alternating Gas (SAG) to increase CO2 s
torage capacity in Cranfield Field\, Mississippi via field-scale simulatio
ns and characterize key parameters critical to long-term CO2 storage succe
ss through optimizations.\nA parallel compositional simulator (IPARS) is u
sed to accurately capture the underlying physical processes\, with a field
scale numerical model\, over the desired time-span. A hysteretic relative
permeability model enables modeling local capillary trapping. Foam-assist
ed CO2 mobility control technique is examined with an implicit texture foa
m model to investigate the eminent level of CO2 capillary trapping. A mult
ipoint flux mixed finite element (MFMFE) method is used for spatial discre
tization of the compositional flow model. It can handle complex reservoir
geometries using general distorted hexahedral grid elements\, as well as s
atisfy local mass conservation and compute accurate phase fluxes. The WAG
and foam injection process are further optimized for injection bottom hole
pressure\, number of cycles\, length of the cycles\, and foam properties
via GA (genetic algorithm) in UT optimization toolbox. \nField scale simul
ations indicate that CO2 storage volume increases by 15% and 24% compared
to continuous CO2 injection- during WAG and foam processes\, respectively.
During SAG process\, foam is generated in the high permeability streaks a
nd upper layers with higher CO2 flow rates and diverts the CO2 flow into l
ow permeability regions and bottom layers\, leading to more efficient area
l and vertical sweep efficiency. The optimized foam process saved 60% wate
r and surfactant consumption comparing to the base case foam process while
achieving same CO2 storage volume.\n\nhttps://events.interpore.org/event/
2/contributions/231/
LOCATION:New Orleans
URL:https://events.interpore.org/event/2/contributions/231/
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BEGIN:VEVENT
SUMMARY:A one-domain approach for modeling and simulation of free fluid ov
er a porous medium
DTSTART;VALUE=DATE-TIME:20180517T135000Z
DTEND;VALUE=DATE-TIME:20180517T140500Z
DTSTAMP;VALUE=DATE-TIME:20210928T203000Z
UID:indico-contribution-176-230@events.interpore.org
DESCRIPTION:Speakers: Chen Huangxin (Xiamen University)\nIn this talk we w
ill introduce a one-domain approach based on the Brinkman model for the mo
deling and simulation of the transport phenomenon between free fluid and a
porous medium. A thin transition layer is introduced between the free flu
id region and the porous media region\, across which the porosity and perm
eability undergo a rapid but continuous change. We study the behavior of t
he solution to the one-domain model analytically and numerically. Using th
e method of matched asymptotic expansion\, we recover the Beavers-Joseph-S
affman (BJS) interface condition as the thickness of the transition layer
goes to zero. We also calculate the error estimates between the leading or
der solution of the one-domain model and the standard Darcy-Stokes model o
f two-domain model with the BJS condition. Numerical methods are developed
for both the one-domain model and the two-domain model. Numerical results
are presented to support the analytical results\, thereby justifying the
one-domain model as a good approximation to the two domain Stokes-Darcy mo
del.\n\nhttps://events.interpore.org/event/2/contributions/230/
LOCATION:New Orleans
URL:https://events.interpore.org/event/2/contributions/230/
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SUMMARY:The importance of inertial effects and Haines jumps in pore scale
modelling of drainage displacement for geological CO$_{2}$ sequestration
DTSTART;VALUE=DATE-TIME:20180517T140800Z
DTEND;VALUE=DATE-TIME:20180517T142300Z
DTSTAMP;VALUE=DATE-TIME:20210928T203000Z
UID:indico-contribution-176-228@events.interpore.org
DESCRIPTION:Speakers: Edo Boek (Queen Mary University of London)\nWe inves
tigate pore scale drainage associated with immiscible displacement of brin
e by CO$_{2}$ in a porous medium\, using state-of-the-art multi-GPU lattic
e Boltzmann (LB) simulations. Our goal is to better understand the pore sc
ale processes involved in the geological sequestration of CO$_{2}$. Correc
tly resolving the pore scale dynamics of multiphase flow in permeable medi
a is of paramount importance for upscaling to reservoir scale displacement
processes and the design of efficient CO$_{2}$ storage operations. Our cu
rrent investigations are based on previous work on pore-filling events in
single junction micro-models [1] and capillary filling mechanisms includin
g Haines jump dynamics [2\,3]. According to the seminal work by Lenormand
*et al*. [3]\, immiscible displacement can be characterised by only two di
mensionless numbers\, namely the capillary number $Ca$ and the viscosity r
atio $M$\, which quantify the ratio of the relevant forces\, i.e. the visc
ous and capillary forces. The above description is thought to be valid in
the limit of low Reynolds numbers $Re→0$. However\, our current investig
ations reveal that inertial effects cannot be neglected in the range of ty
pical Capillary numbers ($Ca$) associated with multiphase flow in permeabl
e media ($Ca<10^{-3}$)\, and accessible to numerical pore scale modeling (
$Ca >10^{-6}$). We observe that\, even as $Ca$ and $Re$ decrease\, inertia
l effects are still important over a transient amount of time during abrup
t jump events (Haines jumps)\, when the non-wetting phase passes from a na
rrow restriction to a wider pore body. Therefore\, the description based o
n the phase diagram of Lenormand *et al*. [4] may not be sufficient. We in
clude inertial effects by introducing the Ohnesorge number\, defined as $O
h^2= Ca/Re$. We show that this dimensionless number is essential to restri
ct the parameter selection process\, as it is fixed for a given system and
independent of the flow rate. We show that the Ohnesorge number reflects
the true thermophysical properties of the system under investigation. Cons
idering that the Ohnesorge number is typically in the range of $10^{-3}-10
^{-2}$ for a system of brine-CO$_{2}$ at the pore scale\, it becomes clear
that the usual approach in numerical simulations of keeping both $Ca$ and
$Re$ low\, without respecting the ratio of the two\, is fundamentally wro
ng. Given that inertial effects cannot be neglected in this range of dimen
sionless numbers\, a full Navier-Stokes solver should be used instead of j
ust a Stokes solver\, and the value of the ratio $Ca/Re$ should be matched
. This approach will resolve the pore scale fluid dynamics correctly. Our
results demonstrate that the displacement sequence as well as the fluid di
stribution in the porous rock can be affected significantly by the choice
of the simulation parameters.\n\nhttps://events.interpore.org/event/2/cont
ributions/228/
LOCATION:New Orleans
URL:https://events.interpore.org/event/2/contributions/228/
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SUMMARY:Apriori Error Estimates for the Undrained Split Iterative Coupling
Scheme for Coupling Flow with Geomechanics
DTSTART;VALUE=DATE-TIME:20180517T150200Z
DTEND;VALUE=DATE-TIME:20180517T151700Z
DTSTAMP;VALUE=DATE-TIME:20210928T203000Z
UID:indico-contribution-176-233@events.interpore.org
DESCRIPTION:Speakers: Tameem Almani (Saudi Aramco)\nRecently\, the accurat
e and efficient modeling of flow-structure interactions has gained more im
portance and attention for both petroleum and environmental engineering ap
plications. Three main coupling approaches exist in practice: the fully im
plicit\, the explicit or loose coupling\, and the iterative coupling metho
ds. The first approach solves the two problems simultaneously\, and is con
sidered the most accurate one. However\, it poses several computational ch
allenges to the underlying linear solver. The second approach\, on the oth
er hand\, decouples the two problems and is only conditionally stable. In
this work\, we consider the last approach which combines the advantages of
stability and decoupling and lies in between these two extreme by imposin
g an elegant iterative coupling iteration between the two decoupled proble
ms. Specifically\, we will focus on the undrained split iterative coupling
scheme which starts by solving the mechanics problem\, followed by the fl
ow problem\, and assumes a constant fluid mass during the deformation of t
he structure. The convergence of this scheme has already been established
in [1\, 2] for the single rate scheme\, and in [2] for the multirate schem
e (in which the flow problem takes multiple fine time steps within one coa
rse mechanics problem). Here\, we will derive a priori error estimates for
quantifying the error between the solution obtained at any iterate and th
e true solution for the single rate undrained split iterative coupling sch
eme. The approach we will follow is based on studying the equations satisf
ied by the differences of coupling iterates to establish a Banach contract
ion argument\, which is then used to derive the targeted apriori error est
imates\, and is an extension of the work presented in [3]. To the best of
our knowledge\, this is the first rigorous derivation of a priori error es
timates for the single rate undrained split iterative coupling scheme for
solving the coupled Biot system.\n\nhttps://events.interpore.org/event/2/c
ontributions/233/
LOCATION:New Orleans
URL:https://events.interpore.org/event/2/contributions/233/
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SUMMARY:Coupled thermal-hydraulic-mechanical simulation for enhanced geoth
ermal system based on embedded discrete fracture model
DTSTART;VALUE=DATE-TIME:20180517T142600Z
DTEND;VALUE=DATE-TIME:20180517T144100Z
DTSTAMP;VALUE=DATE-TIME:20210928T203000Z
UID:indico-contribution-176-237@events.interpore.org
DESCRIPTION:Speakers: Tingyu Li (School of Chemical Engineering and Techno
logy\, Xi’an Jiaotong University\, Xi’an 710049\, China)\nTingyu Lia\,
Dongxu Hanb\, Bo Yub*\, Dongliang Sunb\, Fusheng Yanga\, Jinjia Weia\na S
chool of Chemical Engineering and Technology\, Xi’an Jiaotong University
\, Xi’an 710049\, China\nb School of Mechanical Engineering\, Beijing In
stitute of Petrochemical Technology\, Beijing 102617\, China\n*Correspondi
ng authors: E-mail addresses: yubobox@vip.163.com (B.Yu).\n\nAs the most e
ffective method for mining deep geothermal resources\, the enhanced geothe
rmal system (EGS) has become a hot topic in the recent geothermal research
es. To extract heat storage in the Hot Dry Rock\, hydraulic fracturing tec
hnology is used to form artificial flow aperture. Subsequently\, the geoth
ermal energy is extracted through heat carrying fluid cycle. The mining pr
ocess includes porous flow\, heat exchange and deformation of rock\, which
is a typical thermal-hydraulic-mechanical (THM) three field coupling prob
lem. Recently\, some scholars have carried out a preliminary numerical sim
ulation study on the multi-field coupling in EGS [1-5]. However\, there ar
e still two main shortcomings. First\, the simulation of fractured rock ma
ss is mostly based on continuum hypothesis\, which is only suitable for ro
ck with relatively high porosity. This method shows large error for EGS sy
stem dominated by several fractures. Second\, the research on heat flow co
upling is not enough\, which is the most basic and important aspect in EGS
. Especially\, the study of heat transfer process and heat recovery effici
ency under thermal-fluid coupling is not yet thorough. Therefore\, based o
n the embedded discrete fracture model (EDFM)\, the THM coupling model of
the actual fractured rock mass is established. Two energy equations are us
ed to describe the heat transfer process in the matrix and fracture respec
tively. Finite volume method (FVM) is applied to discrete energy equation\
, two point flux approximation (TPFA) method for porous flow equation and
finite element method (FEM) for solid skeleton deformation equation.\nAll
variables are solved simultaneously through the Newton-Raphson iterative m
ethod\, the calculation of the Jacobian matrix uses automatic differentiat
ion algorithm. The influence of reservoir heterogeneity\, anisotropy\, inj
ection rate\, injection pressure and well spacing on the exploitation temp
erature of EGS system is emphatically analyzed.\n\nhttps://events.interpor
e.org/event/2/contributions/237/
LOCATION:New Orleans
URL:https://events.interpore.org/event/2/contributions/237/
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