- Home
- Conferences
- Conference Proceedings
- Conferences
ECMOR V - 5th European Conference on the Mathematics of Oil Recovery
- Conference date: 03 Sep 1996 - 06 Sep 1996
- Location: Leoben, Austria
- ISBN: 3-9500542-0-0
- Published: 03 September 1996
48 results
-
-
Iterative Solvers for Dynamically Implicit Reservoir Flow Equations on Irregular Grids
Authors C. Brand and L. J. GanzerModern reservoir simulators allow for local refinement and other types of irregular grids. Moreover the number and type of flow equations will not be the same in all blocks. Depending on the state of the reservoir, some parts may employ a fully implicit discretization, others an IMPES formulation; some parts will use a compositional model and others will just have one-phase flow.
-
-
-
Parallel Reservoir Simulation with Nested Factorisation
Authors R. Burrows, D. Ponting and L. WoodTo obtain worthwhile gains from massively parallel computers in the area of reservoir simulation we require a high degree of parallelisation and efficient treatment of data input and output. We discuss a domain-based approach in which the reservoir is split into areally defined domains, each treating its own cells and wells. A message passing protocol such as PVM is used as the programming model.
-
-
-
Parallelization of a General-Purpose Reservoir Simulator
Authors J. E. Killough, J. A. Foster, J. S. Nolen, J. R. Wallis and J. XiaoOver the past few years advances in parallel computing have been significant. Large local memories, fast interprocessor communications, and high speed superscalar nodes have significantly improved the utility of this hardware for reservoir simulation. The following paper discusses a general-purpose reservoir simulator which has been ported to three parallel computers: the Cray T3D, the IBM SP2 and the Silicon Graphics Power Challenge.
-
-
-
A New Model for History Dependent Saturation Functions in Reservoir Simulation
Authors M. Kriebernegg and Z. E. HeinemannA new model for treating dynamic hysteresis in saturation functions for two and three phase reservoir simulation studies has been developed. It is incorporated in a three dimensional, three phase, fully implicite reservoir simulator.
-
-
-
Precipitation of Gas Condensates Under the Influence of Capillary Pressure in Porous Media
By K. PotschThis paper describes a method of calculating the influence of the capillary pressure on the phase distribution in a porous medium.
-
-
-
Mathematical Theory for Two Phase Displacement with Hysteresis (With application to WAG injection)
Authors P. Bedrikovetsky, D. Marchesin and P. BallinTo describe two-phase displacement with hysteresis we use the Buckley-Leverett model with imbibition, drainage and scanning fractional flows. Mathematical theory for the initial-boundary non-self-similar problems is developed. The structure of solutions is presented together with the physical interpretation of phenomena. Analytical solutions for the injection of water slug with the gas drive and for the sequential injection of water and gas slugs with the water drive are obtained. The solutions show that the hysteresis decreases the gas flux in the case where the drainage relative permeability is lower than the imbibition one, which is a positive effect for the wateraltemate- gas injection.
-
-
-
Diagnosis of Natural Convection of Hydrocarbon Reservoirs
By D. PolonskyOur goal was to study how to diagnose the convection of hydrocarbon mixture before the development of the natural reservoir.
-
-
-
Two-Phase Segregation in a Thick Reservoir
Authors A. A. Shapiro and E. H. StenbyWe present in this paper the mathematical theory of segregation in a thick oil-gas-condensate reservoir. The theory takes into account the non-equilibrium effect of the geothermal gradient and the action of the capillary forces, due to which a two-phase transition zone between the gas cap and the oillayer is formed. Analytical solutions of the segregation equations are obtained.
-
-
-
An Analysis of Dynamic Pseudo Relative Permeability Methods
Authors J. W. Barker and P. DupouyThe properties and limitations of 6 widely used dynamic pseudo relative permeability methods are analysed. The example proposed by Stone is used to illustrate our findings. The analytical results are confirmed by numerical simulation.
-
-
-
Coupled Fluid Flow and Geomechanics in Fractured Reservoir Study
Authors H. -Y. Chen, H. Harstad and L. TeufelThe purpose of this study is to formulate a coupled fluid-flow and geomechanics model of a naturally fractured reservoir.
-
-
-
Solutions to the Three-Phase Buckley-Leverett Problem
Authors R. E. Guzman and F. J. FayersThis paper presents method of characteristics (MOC) solutions to the three-phase Buckley-Leverett problem with and without gravity, for the three classes of equations described by Guzmán and Fayers (1996).
-
-
-
A Three Dimensional Grid Construction for the Simulation of Horizontal Wells in Geologically Complex Petroleum Reservoirs
Authors L. C. N. Amado and Z. E. HeinemannFlexible gridding techniques have received great attention in the petroleum literature lately. Voronoi and other non- Cartesian grids using control volume formulations have been investigated and have become common in reservoir engineering studies. Several grid geometries have been presented including orthogonal and non-orthogonal ones.
-
-
-
Two- and Three-Dimensional Flexible Grids for Reservoir Simulation
More LessThe commonly used Cartesian and hybrid local grid refinements have the disadvantage that the base grid is always Cartesian, which makes it difficult to align along reservoir heterogeneities.
-
-
-
A Class of Discretization Methods for Structured and Unstructured Grids in Anisotropic, Inhomogeneous Media
Authors I. Avaatsmark, T. Barkve, Ø. Bøe and T. MannsethA class of flux-conservative diseretization schemes are presented for alternative grids in two space dimensions. The family of methods represents a unified approach to diseretization in anisotropic, inhomogeneous media. Both triangular, quadrilateral and polygonal grids are eonsidered. A common feature for all diseretizations is the ability to handle media inhomogeneities in combination with full tensor anisotropy.
-
-
-
Generalized Well Models for Accurate Coarse Grid Simulation of Coning Processes
By S. EkrannThe paper identifies mechanisms reducing the accuracy of coarse grid coning simulations, and demonstrates remedies: A generalized weIl model increases the accuracy of the pressure solution in the vicinity of a well, and reacts to repositioning of the well inside the weIlblock. VE capillary pressure pseudos correct for underestimation of gravity forces. Together, these two techniques provide for dramatically improved simulation accuracy in a 2D threephase test problem with a horizontal well, in particular if the weIl is located centrally in the wellblock, or moved upwards or downwards from that position.
-
-
-
Well Modelling in Reservoir Simulation
By Y. DingWell model plays an important role in reservoir simulation, because the precision of weIl flow rate or bottom hole pressure calculation is directly related to this model.
-
-
-
A Streamline Simulator to Model Field Scale Three-Dimensional Flow
Authors R. P. Batycky, M. R. Thiele and M. J. BluntWe present a streamline method to model convective-dominated displacements in heterogeneous porous media.
-
-
-
Linearization Techniques of Reservoir Simulation Equations - IMPES/IMPEM Cases
By É. FarkasThe main object of this paper is to exarnine and compare models based on the numerical background of linearization techniques.
-
-
-
The "Front Limitation" Algorithm - A New Simulation Technique for the Advection - Dispersion Problems
Authors S. Wagner, F. Haefner, S. Boy, A. Behr, V. Piskarev, B. Palatnik and C. BrandThe simulation of multi-phase compositional problems requires the numerical solution of the advection - dispersion equation. Until now the main difficulties were: (1) the mixed types of equation (parabolic and hyperbolic) and (2) the limits in block size and time steps (grid PECLET number, COURANT number). In this paper a new algorithm (named the FRONT LlMITATION) is demonstrated which avoids most of the difficulties.
-
-
-
A Massively Parallel Reservoir Simulator
Authors J. Frøyen and M. EspedalA two-phase sequential IMPLICIT three dimensional reservoir simulator has been developed for massively parallel computer systems. The parallel algorithm is based on recently developed domain decomposition methods. The simulator has been tested using a 16384 processor MasPar MP-4.10.
-
-
-
A New Robust and Vectorised ILU-based Preconditioning Technique for Reservoir Simulation
More LessTo date, the most efficient solver used in the petroleum industry for the resolution of linear systems in reservoir simulation is the generalized conjugate-gradient acceleration method called Bi-CGSTAB. However, difficulties still appear in matrix resolution when the Bi-CGSTAB method is used without an appropriate preconditioner.
-
-
-
Direct Conditioning of Gaussian Random Fields to Dynamic Production Data
By F. FlorisIn this paper, we address the conditioning of Gaussian random fields to time-dependent production data, e.g. pressure or production rate. The goal of obtaining a set of conditioned permeability fields is to make a prediction of the reservoir performance which includes a quantified uncertainty. Instead of the brute force approach of generating many permeability fields and keeping those that satisfy the production data within a give measure, we shall use a method that gradually modifies an initially generated permeability field towards a match with the production data, without destroying its local spatial structure.
-
-
-
Conditioning Permeability Fields to Pressure Data
Authors D. S. Oliver, N. He and A. C. ReynoldsGenerating realizations of the permeability field drawn from a probability density function conditioned on inaccurate pressure or saturation data is difficult, even if the unconditional realizations are Gaussian random fields, because the problem is highly nonlinear. Inefficient methods that generate large numbers of rejected images, such as simulated annealing, must be ruled out as impractical because of the repeated need for reservoir flow simulation.
-
-
-
Gradient Method and Bayesian Formalism Application to Petrophysical Parameter Characterization
Authors F. Roggero and D. GuérillotNumerical models are routinely used today to analyze the performance of hydrocarbon reservoirs. However, the fit of the historical data has to take into account the initial geological knowledge to provide physical production forecasts, even if reservoir parameters are inherently uncertain over large parts of a field.
-
-
-
Gradients Method Constrained by Geological Bodies for History Matching
Authors D. Rahon, G. Blanc and D. GuérillotConventional gradient methods have already been applied to reservoir engineering for matching the history of former field performances. The key point of these methods is to select the best areal reservoir zoning for reduction of the amount of reservoir parameters to be identified. In this paper we propose a zoning based on reservoir lithofacies, thus making a more natural than geographical choice.
-
-
-
History Matching using the Multi Point Approximation Approach
Authors P. E. Frandsen, J. Reffstrup and J. AndersenIn the present paper the use of the multipoint method for automated history matching purposes is demonstrated.
-
-
-
Simulations of Multiphase Flow in Naturally Heterogeneous Rocks
Authors L. Paterson, S. Painter, X. Zhang and W. V. PinczewskiIn this paper we present results of network flow simulations with heterogeneity corresponding to naturally occurring sedimentary rocks. Correlations were generated using fractional Brownian motion, fractional Lévy motion and multifractals. Flow simulations were based on two-phase capillary driven invasion percolation in three dimensional networks. Results for breakthrough saturation, residual saturation and relative permeability curves for correlated networks are compared to uncorrelated networks
-
-
-
Integrating High Order Numerical Techniques and Magnetic Resonance Imaging for Fluid Flow Investigation
Authors A. Brancolini, A. Cominelli, P. Consonni, S. Mantica and F. RadaelliIn this paper we present an integrated approach, via sophisticated experimental and numerical techniques, to the investigation of displacement phenomena in porous media. A non-destructive imaging technique, Magnetic Resonance Imaging (MRI), has been used to study fluid flow in core plugs, and a Mixed Finite Element/TVD Finite Volume simulator to reproduce the observed data. The main advantage of the MFE/FV code is its capability of accurately solving physical phenomena without introducing unrealistic numerical dispersion or oscillations. Comparison with standard Finite Differences (FD) code has been performed.
-
-
-
Calculating Three-Phase Relative Permeabilities Using Network Modeling
Authors D. H. Fenwick and M. J. BluntThis paper investigates three-phase flow in water-wet porous media. Three-phase flow differs from two-phase flow due to the effects of pore-scale double displacement mechanisms and the ability for oil to exist in a continuous layer between the water and gas.
-
-
-
A Lattice-Boltzmann Approach for the Modelling of Microscopic Three-Phase Flow Mechanisms
Authors F. M. van Kats, P. J. P. Egberts and F. J. T. FlorisUtilizing a recently developed numerical technique, known as the lattice-Boltzmann method, we study immiscible three-phase flow at the pore scale. An important phenomenon at this scale is the spreading of oil onto the gas-water interface. In case of a spreading oil droplet, it is shown that the simulated flow dynamics agree with an analytical model.
-
-
-
The Use of Capillarity Surfaces to Predict Phase Distributions in Mixed-Wet Porous Media
Authors S. R. McDougall, A. B. Dixit and K. S. SorbiePore-scale network models have been used to study a range of nonuniformly-wet systems, their associated capillary pressure curves, imbibition characteristics and waterflood recovery efficiencies.
-
-
-
Simulation of the Motion of Oil Ganglia in Consolidated Porous Media. Crowding Effects
Authors M. S. Valavanides, G. N. Constantinides and A. C. PayatakesOil ganglion dynamics (that is, the collective flow behavior of a population of interacting oil ganglia in a porous medium) arises in connection with oil bank formation and maintenance during enhanced oil recovery with immiscible flooding.
-
-
-
Optimization of Gas Condensate Field Production Performance by Fault Block Modelling and Decision Under Uncertainty Technique
Authors J. -R. Ursin and A. ZolotukhinOptimization of a field development scenario is strongly related to feasible evaluation of reservoir uncertainty. In case of faulted and highly compartmentalized reservoirs the degree of success in production performance forecast depends on how uncertainty, associated with the number of faults, their nature, location and effectiveness as flow barriers, is handled.
-
-
-
Optimizing Reservoir Performance by Automatic Allocation of Well Rates
Authors I. Zakirov, S. I. Aanonsen, E. S. Zakirov and B. M. PalatnikOptimal utilization of production facilities is an important factor in field development planning and production forecasting.
-
-
-
An Application of the Regression Technique to Generate Pseudo Relative Permeability Functions and Upscale Multiphase Flow Models
Authors B. Palatnik and E. FørlandThe paper presents an application of a nonlinear regression based technique to estimate a set of pseudo relative permeability functions for a full-field numerical simulation model of oil and water flow during production from the Heidrun field on the Norwegian Continental Shelf.
-
-
-
Analytical and Numerical Simulation Well Test Models
More LessA new analytical i.e. - for more complex cases - a numerical model is proposed for evaluating weIl tests. The analytical solution can be applied to special cases, whereas the numerical model is fuIly explicit, and can be used to complex weIl pattems, arbitrary grid geometry with general shape signal generation.
-
-
-
Contribution of the Pressure Moments to the Interpretation of Numerical Simulation of Well Tests
Authors G. Blanc, B. Netinger and L. PiacentinoNumerical simulation of well tests in complex reservoirs is a tool which adds to the conventional analytical interpretation methods.
-
-
-
A Mathematical Model of the Vertical Movement of the Free Water Level in Fracture Reservoirs
By B. NielsenThis paper describes a mathematical model of the vertical movement of the free water level in a fractured reservoir, where the primary recovery is governed by spontaneous water imbibition.·
-
-
-
Introduction of Fractional Molar Flux Curves in the Compositional Equations and their Use in Multi-Component Simulations with Coarse Grid in Heterogeneous Media
Authors C. C. Barroux and O. RicoisNumerical compositional simulation of fully or partially miscible displacements at reservoir scale is known to be adversely affected by severe numerical dispersion arising from the necessity to use coarse grids. Furthermore, fine geological model heterogeneities need to be scaled-up.
-
-
-
Direct Calculation of Large-Scale Properties for One-Phase Flow in Random Fractured Systems
Authors A. Ahmadi, V. Remazeilles, B. Netinger and M. QuintardDouble-porosity, double permeability models are often used to describe flows in fractured systems, or systems with bi-modal permeability density probability functions.
-
-
-
Superconvergent Renormalization and Tensor Approximation
More LessA real reservoir can have a complex geometric and geologic description and use of a non-orthogonal grid allows great flexibility and realism in the modeling process.
-
-
-
Dual Mesh Method for Multiphase Flows in Heterogeneous Porous Media
Authors S. Verdiere, D. Guérillot and J. -M. ThomasMore and more computerized models provide reservoir descriptions of million ceIls, which correspond to the complexity of the heterogeneities met in natural rocks. Fluid flow simulations within these media need upscaling techniques.
-
-
-
Two-Phase Flow Upscaling for 3D Sedimentary Structures
Authors G. E. Pickup, K. S. Sorbie and T. R. GoodThe "geopseudo" method for flow upscaling aims to capture the effects of geological structure at different scales (e.g. lamina-scale; bed-scale) so that they may be included in reservoir-scale simulations. This process may be time consuming, since the scale-up must be carried out in several stages. At each stage detailed grids of the permeability variations must be created, and a two-phase simulation must be performed to calculate the pseudo flow parameters.
-
-
-
Homogenization of Flow Equations Using the MHD Equation: Numerical Validation
Authors R. Lenormand and M. R. ThieleHomogenized equations capture flow mechanisms at a sub-gridblock scale and allow for more accurate transport equations to be implemented in numerical simulators. Homogenized equations can also improve the calculation of pseudofunctions like pseudo relative permeabilities and alpha factors. In this study we validate a new form of a homogenized equation previously denved by Lenormand using fine-grid numerical simulations.
-
-
-
Optimisation of Production Strategies using Stochastic Search Methods
Authors P. R. King, T. J. Harding and N. J. RadcliffeThis paper describes the application of stochastic search techniques to the production scheduling of a group of linked oil and gas fields. The goal was the maximisation of total net present value and a genetic algorithm using problem-specific crossover operators was particularly successful in this respect
-
-
-
Direct and Inverse Problems of the Fluid Dispersion in the Real Reservoir
Authors Y. P. Zheltov, M. Y. Zheltov and O. N. SardanashviliMovement of the fluids, saturating porous media of the real reservoirs,can be, in many cases, especially by miscible displacement, considered as a dispersion process.This process may be caused not only by molecular and convective diffusion, but as weIl by strata heterogeneity. As examples, solutions of the dispersion equation for layered and fractured-porous reservoirs are given. On the base of this solutions inverse method is developed, which permits to evaluate heterogeneous strata properties.
-
-
-
Prediction of Relative Permeability and Capillary Pressure from Pore-Scale Modelling
Authors P. -E. Øren, S. Bakke, L. Scandellari Nilsen and A. HenriquezThe present paper presents a new metbod for constructing realistic and fully characterised 3-D network representations of the pore space for actual sandstones.
-
-
-
Accurate Calculations of Compressibility Factor for Pure Gases and Gas Mixtures
Authors T. A. Obeida, Z. E. Heinemann and M. KrieberneggAn accurate method to predict volumetric behavior of gas mixtures, such as in the case of underground gas storage where the in-situ gas is mixed with the injected gas, is presented in this paper.
-