A New Relative Permeability Model for Compositional Simulation of Two and Three Phase Flow

A New Relative Permeability Model for Compositional Simulation of Two and Three Phase Flow PDF Author: Chengwu Yuan
Publisher:
ISBN:
Category :
Languages : en
Pages : 612

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Book Description
Chemical treatments using solvents and surfactants can be used to increase the productivity of gas-condensate wells with condensate banks. CMG's compositional simulator GEM was used to simulate such treatments to gain a better understanding of design questions such as how much treatment solution to inject and to predict the benefits of such treatments. GEM was used to simulate treatments in vertical wells with and without hydraulic fractures and also horizontal wells. However, like other commercial compositional simulators, the flash calculations used to predict the phase behavior is limited to two phases whereas a three-phase flash is needed to accurately model the complex phase behavior that occurs during and after the injection of treatment solutions. UTCOMP is a compositional simulator with three-phase flash routine and attempts were made to use it to simulate such well treatments. However, this is a very difficult problem to simulate and all previous attempts failed because of numerical problems caused by inconsistent phase labeling (so called phase flipping) and the discontinuities this causes in the relative permeability values. In this research, a new relative permeability model based on molar Gibbs free energy was developed, implemented in a compositional simulator and applied to several difficult three-phase flash problems. A new way of modeling the residual saturations was needed to ensure a continuous variation of the residual saturations from the three-phase region to the two-phase region or back and was included in the new model. The new relative permeability model was implemented in the compositional reservoir simulator UTCOMP. This new relative permeability model makes it is unnecessary to identify and track the phases. This method automatically avoids the previous phase flipping problems and thus is physically accurate as well as computationally faster due to the improved numerical performance. The new code was tested by running several difficult simulation problems including a CO2 flood with three-hydrocarbon phases and a water phase. A new framework for doing flash calculations was also developed and implemented in UTCOMP to account for the multiple roots of the cubic equation-of-state to ensure a global minimum in the Gibbs free energy by doing an exhaustive search for the minimum value for one, two and three phases. The purpose was to determine if the standard method using a Gibbs stability test followed by a flash calculation was in fact resulting in the true minimum in the Gibbs free energy. Test problems were run and the results of the standard algorithm and the exhaustive search algorithm compared. The updated UTCOMP simulator was used to understand the flow back of solvents injected in gas condensate wells as part of chemical treatments. The flow back of the solvents, a short-term process, affects how well the treatment works and has been an important design and performance question for years that could not be simulated correctly until now due to the limitations of both commercial simulators and UTCOMP. Different solvents and chase gases were simulated to gain insight into how to improve the design of the chemical treatments under different conditions.

A New Relative Permeability Model for Compositional Simulation of Two and Three Phase Flow

A New Relative Permeability Model for Compositional Simulation of Two and Three Phase Flow PDF Author: Chengwu Yuan
Publisher:
ISBN:
Category :
Languages : en
Pages : 612

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Book Description
Chemical treatments using solvents and surfactants can be used to increase the productivity of gas-condensate wells with condensate banks. CMG's compositional simulator GEM was used to simulate such treatments to gain a better understanding of design questions such as how much treatment solution to inject and to predict the benefits of such treatments. GEM was used to simulate treatments in vertical wells with and without hydraulic fractures and also horizontal wells. However, like other commercial compositional simulators, the flash calculations used to predict the phase behavior is limited to two phases whereas a three-phase flash is needed to accurately model the complex phase behavior that occurs during and after the injection of treatment solutions. UTCOMP is a compositional simulator with three-phase flash routine and attempts were made to use it to simulate such well treatments. However, this is a very difficult problem to simulate and all previous attempts failed because of numerical problems caused by inconsistent phase labeling (so called phase flipping) and the discontinuities this causes in the relative permeability values. In this research, a new relative permeability model based on molar Gibbs free energy was developed, implemented in a compositional simulator and applied to several difficult three-phase flash problems. A new way of modeling the residual saturations was needed to ensure a continuous variation of the residual saturations from the three-phase region to the two-phase region or back and was included in the new model. The new relative permeability model was implemented in the compositional reservoir simulator UTCOMP. This new relative permeability model makes it is unnecessary to identify and track the phases. This method automatically avoids the previous phase flipping problems and thus is physically accurate as well as computationally faster due to the improved numerical performance. The new code was tested by running several difficult simulation problems including a CO2 flood with three-hydrocarbon phases and a water phase. A new framework for doing flash calculations was also developed and implemented in UTCOMP to account for the multiple roots of the cubic equation-of-state to ensure a global minimum in the Gibbs free energy by doing an exhaustive search for the minimum value for one, two and three phases. The purpose was to determine if the standard method using a Gibbs stability test followed by a flash calculation was in fact resulting in the true minimum in the Gibbs free energy. Test problems were run and the results of the standard algorithm and the exhaustive search algorithm compared. The updated UTCOMP simulator was used to understand the flow back of solvents injected in gas condensate wells as part of chemical treatments. The flow back of the solvents, a short-term process, affects how well the treatment works and has been an important design and performance question for years that could not be simulated correctly until now due to the limitations of both commercial simulators and UTCOMP. Different solvents and chase gases were simulated to gain insight into how to improve the design of the chemical treatments under different conditions.

Compositional Three-phase Relative Permeability and Capillary Pressure Models Using Gibbs Free Energy

Compositional Three-phase Relative Permeability and Capillary Pressure Models Using Gibbs Free Energy PDF Author: Sajjad Sadeghi Neshat
Publisher:
ISBN:
Category :
Languages : en
Pages : 376

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Book Description
Both relative permeability and capillary pressure depend on composition as well as saturation, but classical models neglect this dependence. The objective of this research was to develop coupled three-phase relative permeability and capillary pressure models for implementation in a four-phase flow compositional equation-of-state simulator. The models applied to several complex but practical reservoir simulation problems. Models independent of phase label have many advantages in terms of both numerical stability and physical consistency. Identification of hydrocarbon and aqueous phases based on their molar Gibbs Free Energy (GFE) is a key feature of the new model. Instead of using labels (gas/oil/2nd liquid/aqueous) to define permeability parameters such as end points, residual saturation and exponents, the parameters are continuously interpolated between reference values using the Gibbs free energy of each phase at each time step. Consequently, the formulation used to implement other relevant physical parameters must be consistent with the new approach. A comprehensive but simple vii algorithm was developed for this purpose. The algorithm allows for very general threephase hysteresis in both relative permeability and capillary pressure. An important part of this thesis is analyzing the results of a recent series of experiments on the effect composition on relative permeability. These new data were used to calibrate the new GFE relative permeability model and apply it in a compositional reservoir simulator. The robustness of the new GFE model was shown through complex simulations such as solvent flooding, miscible/immiscible WAG processes, well stimulation processes using solvents to remove condensate and/or water blocks in both conventional and unconventional formations and other challenging applications involving both mass transfer between phases and phase changes. The interpolation of relative permeability parameters based on GFE instead of phase labels completely solves the discontinuity problem caused by phase flipping or misidentification. Therefore, simulations run significantly faster and are physically correct. The novelty of this research is in integrating and unifying relevant physical parameters including trapping number, hysteresis and capillary pressure into one rigorous algorithm with compositional consistency and in the development and application of a practical procedure for numerical compositional reservoir simulations.

Two- and Three-phase Relative Permeability Studies

Two- and Three-phase Relative Permeability Studies PDF Author: Erle C. Donaldson
Publisher:
ISBN:
Category : Permeability
Languages : en
Pages : 32

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Book Description


Relative Permeability as a Function of Fluid Composition in Water-wet Sandstones

Relative Permeability as a Function of Fluid Composition in Water-wet Sandstones PDF Author: Lauren Michelle Churchwell
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
During miscible gas injection for enhanced oil recovery, the composition of the fluids can change throughout the reservoir as the oil and gas phases develop miscibility. Miscibility improves oil recovery but adds difficulties in predicting the behavior of the flood. The fluid properties will change throughout the reservoir with regions of the reservoir exhibiting separate gas and oil phases, where in other regions the components form only a single phase. In particular, measuring and modeling relative permeability as these regions are traversed creates many challenges. One practical challenge is that in simulators each phase is associated with a relative permeability; this can create discontinuities when phases disappear across miscibility boundaries. These discontinuities can cause errors in the relative permeability calculations and sometimes crash the simulator. Some newer relative permeability models attempt to resolve these issues by changing the standard “oil” and “gas” method of phase labeling and instead labeling phases according to a physical property that is continuous and tied to composition, most notably the fluid density or Gibbs free energy (GFE). Ideally, a relative permeability model will be based on experimental measurements. There are several examples of two-phase relative permeability experiments in the literature, but far fewer three-phase experimental data to test models with. A handful of all relative permeability experiments focus on studying changes in relative permeability brought about by changes in fluid composition with increasing capillary number. However, there is also evidence to suggest that composition can impact relative permeability even at capillary numbers well below the capillary desaturation threshold. In this research, two-phase gas/oil core flood experiments were performed with ethane as the gas phase and equilibrated octane as the oil phase. Pressure was varied so that the composition (density and GFE) of the gas and oil were changing. The capillary number was kept low and constant to prevent capillary desaturation of the oil phase. The experiments were then repeated with an added residual brine phase to test the effect of composition with a third phase present. The results show that changing the density and GFE of the oil and gas phases in either two-phase or three-phase flow had no impact on the relative permeability curves. However, significant changes were observed when comparing two-phase to three-phase oil and gas relative permeabilities. When only gas and oil were flowing in the core, the oil phase formed a continuous layer on the pore surfaces. The addition of residual brine caused the oil to become non-spreading, reducing the relative permeability of both the oil and gas phases in the absence of a continuous layer of oil. These findings verify previous history-matched relative permeabilities in literature and show that phase connectivity is more significant than compositional parameters alone. The relationships between Corey parameters and compositional parameters (density and GFE) were also evaluated to determine when it is appropriate to use compositional models in reservoir simulation

Relative Permeability Of Petroleum Reservoirs

Relative Permeability Of Petroleum Reservoirs PDF Author: M.M. Honarpour
Publisher: CRC Press
ISBN: 1351093223
Category : Technology & Engineering
Languages : en
Pages : 243

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Book Description
This book enables petroleum reservoir engineers to predict the flow of fluids within a hydrocarbon deposit. Laboratory techniques are described for both steady-state and unsteady state measurements, and the calculation of relative permeability from field data is illustrated. A discussion of techniques for determing wettability is included, along with theoretical and empirical methods for the calculation of relative permeability, and prediction techniques. Contents include: Measurement of Rock Relative Permeability; Two-Phase Relative Permeability; Factors Affecting Two-Phase Relative Permeability; Three-Phase Relative Permeability; and Index.

An Introduction to Reservoir Simulation Using MATLAB/GNU Octave

An Introduction to Reservoir Simulation Using MATLAB/GNU Octave PDF Author: Knut-Andreas Lie
Publisher: Cambridge University Press
ISBN: 1108492436
Category : Business & Economics
Languages : en
Pages : 677

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Book Description
Presents numerical methods for reservoir simulation, with efficient implementation and examples using widely-used online open-source code, for researchers, professionals and advanced students. This title is also available as Open Access on Cambridge Core.

Petroleum Reservoir Simulation

Petroleum Reservoir Simulation PDF Author: K. Aziz
Publisher: Springer
ISBN:
Category : Juvenile Nonfiction
Languages : en
Pages : 508

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Book Description
The book contains a relatively complete treatment of finite-difference models of black-oil type rservoirs.

Mathematics of Partially Miscible Three-phase Flow

Mathematics of Partially Miscible Three-phase Flow PDF Author: Tara Catherine LaForce
Publisher:
ISBN:
Category : Miscible displacement (Petroleum engineering)
Languages : en
Pages : 0

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Book Description
Partially miscible flow of several components in three or more phases occurs in both enhanced oil recovery and remediation of contaminated aquifers. There is insufficient understanding of how the formation of multiple phases affects subsurface flow. The main objective of this work is to develop compositional solution routes using the method of characteristics (MOC) for one dimensional, dispersion-free flow where up to three partially miscible flowing phases may be present; a problem that is poorly understood. Analytical solutions provide insight into the behavior of multi-phase flow and can be used as benchmarks for numerical simulation. Unique composition routes are found for a ternary system that can form three flowing phases and is analogous to carbon dioxide and methane injection into an oil reservoir. A single-component, single-phase initial composition is assumed and injection of the other two components is studied. A ternary system modeling surfactant-enhanced remediation of a non-aqueous phase contaminant is also studied for a two-phase initial composition and a series of injection compositions. Analytical solutions are found for three different relative permeability models. Finally, the analytical solutions are compared to core floods and simulations. The results show that recovery of oil or contaminant often declines with surfactant enrichment for a range of injection compositions. Multiple-contact miscibility (MCM) is developed at the critical point of the alcohol/oleic two phase region and on the boundary of the three-phase region for the single-phase initial composition. When the initial composition is two-phase miscibility is not developed; a substantial divergence from two-phase flow. Analytical composition routes match the experimental data in most cases. Numerical dispersion may cause simulated routes to differ from analytical routes at shock fronts, but as dispersion is minimized the simulated routes converge to the analytical solutions. Numerical dispersion causes a decrease in recovery, particularly near MCM and may not adequately model the true physical dispersion in the core floods. Two-phase partially miscible flow is also studied for the case when the initial composition has two hydrocarbon phases. The flow in MCM condensing and condensing/vaporizing drives is dependent on the relative permeability curves and recovery of heavy hydrocarbons may be substantially delayed.

PVT and Phase Behaviour Of Petroleum Reservoir Fluids

PVT and Phase Behaviour Of Petroleum Reservoir Fluids PDF Author: Ali Danesh
Publisher: Elsevier
ISBN: 0080540058
Category : Technology & Engineering
Languages : en
Pages : 401

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Book Description
This book on PVT and Phase Behaviour Of Petroleum Reservoir Fluids is volume 47 in the Developments in Petroleum Science series. The chapters in the book are: Phase Behaviour Fundamentals, PVT Tests and Correlations, Phase Equilibria, Equations of State, Phase Behaviour Calculations, Fluid Characterisation, Gas Injection, Interfacial Tension, and Application in Reservoir Simulation.

Computational Methods for Multiphase Flows in Porous Media

Computational Methods for Multiphase Flows in Porous Media PDF Author: Zhangxin Chen
Publisher: SIAM
ISBN: 0898716063
Category : Computers
Languages : en
Pages : 551

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Book Description
This book offers a fundamental and practical introduction to the use of computational methods. A thorough discussion of practical aspects of the subject is presented in a consistent manner, and the level of treatment is rigorous without being unnecessarily abstract. Each chapter ends with bibliographic information and exercises.