Analytical and variational numerical methods for unstable miscible. Reservoir heterogeneities influencing fluid flow range from large scale faults and discontinuities down to thin shale intercalations, sedimentary structures, and even pore scale features. Case example and workflow implementation 18 estimation of prediction uncertainties 1. Experimental and numerical studies of first contact. Fluid flow in a reservoir is controlled by bed continuity, the presence of baffles to flow, and the permeability distribution see fluid flow fundamentals. Cemrs is a modeling and simulation tool which predicts the performance of l3harris heatwave system and eseieh process in heavy oil and oil sands reservoirs. Conventional reservoir flow simulation has its roots in the macroscopic description of fluid flow through darcys equation.
Simulation of coupled processes of flow, transport, and. Ground water mounding is the rise of the water table above its regional level in a local area of an aquifer in order to provide sufficient head to dis. The average velocity field of heleshaw flow is an physical analog for the irrotational, solenoidal, 2d flow described by the complex potential. Stanfords general purpose research simulator gprs serves as the base for the new framework. Reservoir geometry and dimensions the geometry and dimensions of the reservoir influence the selection of the model grid. It is best to use the simplest model which can meet the study objectives. Senior advisor, reservoir modelling and simulation bp america, inc. Experiments in which various fluids were forced into a narrow hele shaw cell showed that single fingers can be produced, and that unless the flow is very slow lambda width of fingerwidth of. Effect of hydrophobicity of the solid substratum on oil. Pdf phasefield model for heleshaw flows with arbitrary.
Discretization and gridding in reservoir simulation 2. Gilman, this document accompanies a presentation given at the 2003 international forum on reservoir simulation. Natural fractured reservoir engineering phdg textbooks in preparation, intended to be issued during 2015. Calibrate the model to match simulation and experiment. In a recent exhaustive study transport in porous media, 93, 675703 2012 of the linear stability characteristics of unstable immiscible threelayer heleshaw. Goodman courant institute of mathematical sciences, new york university, new york, new york 10012. To fulfill the above objectives, a vertical heleshaw cell was employed to. The reservoir management consists on the application, within a given fiscal and contractual frame, of wellestablished industrial technologies and field best practices to a hydrocarbon reservoir, in order to efficiently perform the field operations and maximize the economic return of the investments. History matching of the punqs3 reservoir model using proxy. Heleshaw cells provide us with an easily accessible model of such physical. Pdf fluid dynamical and modeling issues of chemical. The simulation model itself can be useful in allocating effort and expense in the determination of reservoir fluid and. The proposed approach was tested on a case study involving a benchmark synthetic reservoir model with 14 years of production data.
Gilman, page 3 of 35 practical aspects of simulation of fractur ed reservoirs j. A musthave handbook for anyone involved in reservoir simulation, reservoir simulation will help the reader decide when and how to use simulation for forecasting performance. Reservoir simulation is an area of reservoir engineering that, combining physics, mathematics, and computer programming to a reservoir model allows the analysis and the prediction of the fluid behavior in the reservoir over time. Computer runs may be performed at an early stage of the reservoir study to estimate sensitivity of calculated reservoir performance to variations in the various required input data. Practical aspects of simulation of fractured reservoirs 08012003 2003, james r. In its basic form, a reservoir simulation model consists of three. Modeling pinchoff and reconnection in a hele shaw cell. Numerical solution of heleshaw flows driven by a quadrupole. Reservoir simulation models are created by reservoir engineers and use finite difference methods to simulate the flow of fluids within the reservoir, over its production lifetime. The development of a generalpurpose reservoir simulation framework for coupled systems of unstructured reservoir models and advanced wells is the subject of this dissertation. The depth is small compared to the width w in the ydirection and the length of the domain. For a diffusing interface, in experiments using a heleshaw cell, the mean amplitude taken over many fingers grows approximately as time 2, followed by a transition to a growth proportional to time. Modeling pinchoff and reconnection in a heleshaw cell. Developing eor screening methodologies maestro development developed by subsurface group at winfrith dorset currently the specialist reservoir engineering group of rps 1970s 1990s extensive research into eor projects, theoretical and experimental 1989 development of meteor i dtinpd 1989 1992 eor screening of all ukcs oil fields 100%.
Reservoir simulation process reservoir simulation is briefly. Analysis and simulation in the nonlinear regime hyeonggi lee and j. Numerical simulation of ground water mounding and its. Reservoir simulation is based on well known reservoir engineering equations and techniques the same equations and techniques the reservoir engineer has been using for years. Reservoir modeling and simulation cairo university. Influence of nanoparticle flows on the dynamics of miscible fronts in a hele shaw cell karim ghesmat, hassan hassanzadeh, jalal abedi, and zhangxin chen department of chemical and petroleum engineering, university of calgary, calgary, alberta, canada abstract in this study, we have made an attempt to address how the nanoparticle flows may.
Here we focus on the classical constellation of miscible displacement, as it has been investigated in heleshaw cells. A schematic diagram of this process is shown in figure 1. In 9, the miscible heleshaw model is proposed as a convenient analogue. Modelling numerical simulations for a heleshaw cell. Article pdf available in international journal of engineering science. More commonly, a geological model is constructed at a relatively high fine resolution. Correspondingly, the mean wavenumber decreases approximately as time because of the rapid increase in amplitude, longitudinal. Fluid dynamical and modeling issues of chemical flooding for. Appendices discuss handcalculation methods that can be used to check simulation answers, the mathematics of simulation, and regression techniques useful in the history of. An introduction to reservoir simulation using matlab sintef. This fieldvalidated technology couples an industrystandard reservoir model with a physicsbased electromagnetic model.
In the former case, by the use of sinks and sources, we may model the behaviour of. Computer runs mav be performed at an early stage of the reservoir study to estimate sensitivity of calculated reservoir perfonpance to variations in the assorted necessary input data. It is also a physical analog for 2d flow of incompressible fluids through porous media by darcys law and was used for that purpose before numerical reservoir simulators were developed. Lowengruba school of mathematics, university of minnesota, minneapolis, minnesota 55455 j. Reservoir fluid characterisation supplementary scripts used at the montanuniversitat up to the retirement. Use historyconditioned simulation models as a basis for forcasting single field development 3. Experimental and numerical studies of density driven.
A volumeoffluid formulation for the study of coflowing. Mathematical model computer codes numerical model physical model figure 1. Under the model in the broad scientific sense of the word, they understand a real or mentally created structure that reproduces or reflects the object being studied. Pdf forced displacement of oil by polymer flooding in oil reservoir is one of. Aug 30, 2016 this feature is not available right now. Trapping hele shaw model for miscibleimmiscible flooding studies title. Heleshaw cells provide us with an easily accessible model of such physical phenomena as twodimensional porous media. Growth of fingers at an unstable diffusing interface in a. Pdf an optimal viscosity profile in enhanced oil recovery by.
Due to the very large timescales involved, reservoir modeling is the only. Estimation of prediction uncertainties in oil reservoir. Reservoir simulation is the means by which one uses a numerical model of the geological and petrophysical characteristics of a hydrocarbon reservoir to analyze and predict uid behavior in the reservoir over time. A phasefield model of twophase heleshaw flow we2 water. Heleshaw model study of horizontal well performance in. Pumaflow embeds bestinclass formulations for any reservoir configuration, including blackoil, dual medium, compositional, chemical eor, thermal, and unconventional reservoirs into a single calculator and user interface. If the reservoir is small and vertical and areal effects are important, it may be possible to use a fullfield 3d model. Lattice boltzmann simulation of immiscible two phase flow at.
Influence of nanoparticle flows on the dynamics of miscible. The simulation model itself can be a useful tool in allocating effort and expense in determination of reservoir fluid and rock data. The 2d heleshaw approximation although the 2d heleshaw equations are well known,24 we remind the reader of the key ideas in the context of a two. Trapping hele shaw model for miscibleimmiscible flooding studies full record. Through a careful design of the thermodynamic free energy of a binary mixture, we develop a phasefield model of fluidfluid displacements in a heleshaw cell for the general case in which the two. Wang to characterize flow through the reservoir, a representative 2,000acre figure 2 area of the field was chosen for detailed characterization, modeling, and simulation on the basis of the availability of cores and modern wireline log suites. This paper is a study of the effects of heterogeneity on flow in an analog of porous media, the heleshaw model. Reservoir simulation is an area of reservoir engineering in which computer models are used to predict the flow of fluids typically, oil, water, and gas through porous media. Simulation studies are usually performed to quantify this uncertainty. This paper evaluates the relevance of heleshaw hs model based linear stability results to fully developed. There are many books that describe mathematical models for flow in porous media and present numerical methods that can be used to.
A set of experiments in heterogeneous heleshaw models showed streamlines through and around heterogeneities of various sizes, shapes and levels. Pdf mathematical models for oil reservoir simulation. Pdf to text batch convert multiple files software please purchase personal license. Trapping heleshaw model for miscibleimmiscible flooding. Techniques for modeling complex reservoirs and advanced wells. Sometimes a single shared earth model is used for both purposes. In general, simulation refers to the representation of some process by either a theoretical or a physical model. It can be simply considered as the process of mimicking the behavior of fluid flow in a. Reservoir simulation is the means by which one uses a numerical model of the geological and petrophysical characteristics of a hydrocarbon reservoir to analyze and predict fluid behavior in the.
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