ICMS

Jan 18, 2010 - Jan 19, 2010

15 South College Street, Edinburgh

Organisers

Name	Institution
Banas, Lubomir	Heriot-Watt University
Duncan, Dugald	Heriot-Watt University
Geiger, Sebastian	Heriot-Watt University
Lord, Gabriel	Heriot-Watt University
van Dijke, Rink	Heriot-Watt University

This meeting examines novel mathematical approaches for modelling multi-phase flow (eg oil, gas, water) in porous media. Three-phase flow occurs in petroleum engineering, for example when gas is injected into a reservoir that is past its peak production to recover additional volumes of oil. The gas phase may be carbon dioxide, which has the additional benefit of storing this greenhouse gas underground. Novel descriptions are sought for flow processes on the length scale of meters to kilometres, while incorporating the physical processes occurring on the millimeter scale or smaller (e.g., mobilisation of blobs of oil that have become trapped in the porous reservoir rock). Robust and efficient numerical algorithms, supported by sound mathematical theories and proofs, are of wide importance in all engineering disciplines and in particular in this field to for accurate predictions of final oil recovery.

Confirmed speakers
Martin Blunt
Yalchin Efendiev
S. Majid Hassanizadeh
Patrick Jenny
Ruben Juanes
Jennifer Niessner
Rink van Dijke
Mary Wheeler

This workshop is linked to 
http://www.pet.hw.ac.uk/research/3ppmf/index.cfm

Funded by
EPSRC

Arrangements

Registration
To register for this workshop please complete this form. There will be a registration fee of 30.00 GBP to cover tea/coffee throughout the workshop and lunch on Tuesday 19 January. This fee will be waived for PhD students. Registration will take place at 1.15pm on Monday 18 January 2010.

Invited speakers have been e-mailed a separate form. Please do not complete the public form above. 

Venue
The workshop will be held at 15 South College Street, Edinburgh. All lectures will be held in the Newhaven Lecture Theatre. To view this room and a list of the visual equipment available click here. In addition, two blackboards have recently been installed. Follow this link for a map showing the location of 15 South College Street, or this map may also prove useful.

Wireless Access The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network.

Travel
Information about travel to the UK and Edinburgh is available here. Participants (other than invited Speakers) are asked to fund their own travel to attend the workshop. You may find this map useful.

A taxi directly from the airport will cost approximately 15.00 to 20.00 GBP to the city centre for a one-way journey.

Lothian buses charge £1.20 for a single, £3.00 for a day ticket. Please note that the exact fare is required and no change is given.

If travelling by train, please note that Edinburgh has two railway stations - Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street (also, for Speakers, the closest to Pollock Halls of Residence). If you alight the train at Edinburgh Waverley, the workshop venue is an easy 10 minute walk over North and South Bridge map. The second railway station is called Haymarket and is at the West End of the city centre.

Accommodation
Participants (excluding invited speakers) should make their own accommodation arrangements. A list of Edinburgh accommodation of various sorts and prices is available here . Sections 4 is particularly relevant. 

 

Programme

Monday 18 January 2010

13.15 - 14.00	Registration Ground Floor, 15 South College Street
14.00 - 15.00	Rink van Dijke (Heriot-Watt University) Three-phase relative permeability for mobilized disconnected phase clusters
15.00 - 16.00	S. Majid Hassanizadeh (Utrecht University) New Model of Two-phase Flow in Porous Media Including Fluid-Fluid Interfacial Areas
16.00 - 16.30	Tea/Coffee, Ground Floor, 15 South College Street
16.30 - 17.30	Jennifer Niessner (University of Stuttgart) Kinetic interphase mass transfer in multi-phase flow in porous media on the macroscopic scale
18.15	Dinner at Blonde, 75 St. Leonards Street, Edinburgh EH8 9QR

Tuesday 19 January 2010

09.00 - 09.30	Tea/Coffee, Ground Floor, 15 South College Street
09.30 - 10.30	Patrick Jenny (ETH Zurich) tba
10.30 - 11.00	Tea/Coffee, Ground Floor, 15 South College Street
11.00 - 12.00	Mary Wheeler (The University of Texas at Austin) Multiscale Methods for Coupling Elasticity and Multiphase Flow in Porous Media
12.00 - 13.00	Yalchin Efendiev (Texas A&M University) Coarse-scale models for flows in high-contrast multiscale media and their applications
13.00 - 14.00	Buffet Lunch, Ground Floor, 15 South College Street
14.00 - 15.00	Martin Blunt (Imperial College London) Continuous time random walks and upscaling transport
15.00 - 16.00	Ruben Juanes (MIT) Nonlocal dynamics and pattern formation in multiphase flow through porous media
16.00 - 16.30	Final discussion and wrap up
16.30 - 17.00	Tea/Coffee, Ground Floor, 15 South College Street

Presentations:

Presentation Details
Blunt, Martin
Continuous time random walks and upscaling transport
View Abstract Hide Abstract
We demonstrate a pore-to-reservoir simulation methodology that does not pre-suppose the functional form of the upscaled transport equations and which automatically accounts for uncertainty in the reservoir description. Single-phase transport is modeled as a continuous time random walk. Particles make a series of hops between nodes with a probability wðtÞdt that a particle will first arrive at a node from a nearest neighbor in a time t to t + dt. We describe transport at four scales: pore, core, grid-block, and field. At each scale the system is represented as a lattice of nodes with an appropriate transition time probability derived from a simulation at the next smaller scale. At the micron scale, we fit a truncated power law for the distribution of transition times between pores. Upscaled pore-scale transport is then used to calculate transport at the core scale and transition time probability is found that accounts for cm-scale transitions. Similarly we use this to derive a meter-scale formulations from simulations of grid-block level transport. At the field scale, we use the upscaled transitions from simulations at the meter-scale. We demonstrate the methodology by considering transport in a channeled sandstone reservoir, from a pore-scale representation of the microscopic structure to a million-cell field-scale geological model. Effectively we simulate transport in a model containing of order a trillion cells while accounting for uncertainty in the reservoir description. Heterogeneity at all scales impacts transport and tends to retard the advance of the plume with particles becoming trapped in slow-moving regions, increasing breakthrough times by up to an order of magnitude compared to those predicted using a traditional advection dispersion model. We discuss how to extend this method to multiphase flow.
Efendiev, Yalchin
Coarse-scale models for flows in high-contrast multiscale media and their applications
View Abstract Hide Abstract
In this talk, I will discuss special coarse spaces for multiscale finite element and domain decomposition methods. These spaces allow a coarse-scale representation of the solution of multiscale flow problem. The focus will be on problems that have high variations in the media properties. It is known that the number of iterations in domain decomposition and many iterative methods is adversely affected by the contrast in the media properties. One way to decrease the number of iterations is to choose coarse spaces appropriately. In the proposed methods, the coarse spaces are constructed based on a local eigenvalue problem. We show that if domain decomposition methods use these coarse spaces then the condition number of preconditioned system is independent of the contrast in media properties. The coarse space can have large dimension. In this talk, we discuss dimension reduction for the proposed coarse spaces and hierarchical computations of multiscale basis functions. The latter results to domain decomposition preconditioners that have the condition number which is independent of contrast. We will discuss the accuracy of coarse-scale solutions using these proposed coarse spaces. Numerical results will be presented. This is a joint work with Juan Galvis.
Hassanizadeh, S Majid
New Model of Two-phase Flow in Porous Media Including Fluid-Fluid Interfacial Areas
View Abstract Hide Abstract
Traditional multi-phase (and unsaturated) flow models use an algebraic relationship between capillary pressure and saturation. This relationship is based on measurements made under static conditions. The only variable in this relationship is saturation. Moreover, this static relationship is then used to model dynamic conditions. Extended capillary pressure-saturation relationships have been proposed with two main features: i) capillary pressure is not only a function of saturation but also fluid-fluid specific interfacial areas, ii) it includes an additional term accounting for dynamic (or non-equilibrium) capillarity effects. There is compelling experimental evidence reported in the literature that the non-equilibrium effect is observable, quantifiable, and significant. In this presentation, we describe the new capillarity model and provide experimental evidences for its validity. Then, pore-scale and continuum scale simulations are used to study the possible significance of the dynamic effect at various scales. We also investigate how the extended relationship affects the mathematical models of unsaturated and two-phase flow models.
Juanes, Ruben
Nonlocal dynamics and pattern formation in multiphase flow through porous media
Niessner, Jennifer
Kinetic interphase mass transfer in multi-phase flow in porous media on the macroscopic scale
View Abstract Hide Abstract
Mass transfer between fluid phases in a porous medium is an important process in geological and technical porous media, needed e.g. for the description of CO2 storage in deep geological formations, to predict the fate of contaminants in the subsurface, or to understand the processes taking place in fuel cells. While mass transfer takes place across fluid-fluid interfaces on the pores scale and the mass exchange rates highly depend on the amount of interfacial area, interfaces are generally not resolved in macroscopic models. Instead, classical macroscopic models typically assume chemical equilibrium within a representative elementary volume or use empirical relationships to account for the kinetics. This assumption, however, is not justified in case of high flow velocities or small interfacial area. Using a thermodynamically consistent model which explicitly accounts for the role of interfaces by including them as entities and as parameters, a new model for multi-phase flow will be presented. This model accounts macroscopically for kinetic interphase mass transfer in a physically based way as interfacial area is a parameter in the model. The concept will be extended to heat transfer where additionally, fluid-solid interfaces are relevant exchange areas. Model concepts will be presented and illustrated by numerical examples.
van Dijke, Rink
Three-phase relative permeability for mobilized disconnected phase clusters
View Abstract Hide Abstract
Darcy’s law, defining single-phase permeability of porous media, is commonly extended to two-phase and three-phase flow processes. It is well-known that the corresponding two-phase relative permeability function is not an adequate effective parameter, for example when at the pore-scale trapped phase clusters are mobilized through increased flow rates. In this presentation it is shown that in three-phase flow, mobilization also occurs under low rate, capillary-dominated flow conditions, after phase clusters have become disconnected through alternating cycles of flooding with different phases. This is demonstrated with observations from micromodel experiments of water-alternating-gas injection as a means of improved oil recovery. A simple ad-hoc pore-scale approach is discussed to “save” the three-phase Darcy’s law under these conditions. Moreover, several multi-scale approaches are outlined that may be used to incorporate the fundamental multi-phase pore-scale processes in continuum flow models at larger length-scales.
Wheeler, Mary F.
Multiscale Methods for Coupling Elasticity and Multiphase Flow in Porous Media
View Abstract Hide Abstract
The modeling of coupled flow simulation and mechanical deformations is important in addressing the response of reservoirs located in structurally weak geologic formations. In this presentation we discuss multiscale algorithms for modeling poroelasticity. In treating the multiphase flow we use a discretization which involves a fully implicit mixed finite method for multiphase flow and a Galerkin method, either discontinuous or conforming, for elasticity. Theoretical convergence results and computational examples are presented.

Participants

Name	Institution
Al-Dhahli, Adnan	Heriot-Watt University
Albrecht, Felix	WWU Muenster
Amini, Hamed	Heriot-Watt University
Annewandter, Robert	Heriot-Watt University
Banas, Lubomir	Heriot-Watt University
Blunt, Martin	Imperial College London
Duncan, Dugald	Heriot-Watt University
Efendiev, Yalchin	Texas A&M University
Fahimpour, Jalal	Heriot-Watt University
Fatemi, Seyyed Mobeen	Heriot-Watt University
Fricke, Claudia	Heriot-Watt University
Fumagalli, Alessio	Politecnico di Milano
Geiger, Sebastian	Heriot-Watt University
Gundogan, Ozgur	Heriot-Watt University
Hamdi, Hamidreza	Heriot-Watt University
Hassanizadeh, S Majid	Utrecht University
Jenny, Patrick	ETH Zurich
Juanes, Ruben	MIT
Kachuma, Dick	Total E&P UK
Kechut, Nor Idah	Heriot-Watt University
Kuzan, John	ExxonMobil Upstream Research Center
Lamine, Sadok	SHELL International Exploration and Production B.V.
Lord, Gabriel	Heriot-Watt University
Mills, John	Heriot-Watt University
Niessner, Jennifer	University of Stuttgart
Ogbonna, Nneoma	Heriot-Watt University
Okocha, Cyril	Heriot-Watt University
Pal, Mayur	Shell International Exploration and Production
Pickup, Gillian	Heriot-Watt University
Riazi, Masoud	Heriot Watt University
Ryazanov, Andrey	Heriot-Watt University
Schmid, Karen	Heriot-Watt University
Scotti, Anna	Politecnico di Milano
Shahverdi, Hamidreza	Heriot-Watt University
Steeb, Holger	Ruhr-University Bochum
van Dijke, Rink	Heriot-Watt University
Wheeler, Mary F.	The University of Texasat Austin
Zaretskiy, Yan	Heriot-Watt University