Semi-analytical solution for a hyperbolic system modeling 1D polymer slug flow in porous media

Vicente, Bruno J.; Priimenko, Viatcheslav; Pires, Adolfo P.

doi:10.1016/j.petrol.2014.02.005

Cited by 11 publications

(4 citation statements)

References 8 publications

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“…This analytical solution is complicated by the fact that there is a third discontinuity that occurs between the chase water and the trailing edge of the polymer slug, in addition to the two shocks described in the previous section. As noted in the introduction, analytical solutions to this problem have been presented by Bedrikovetsky [3], Ribeiro et al [22], de Paula and Pires [20], Borazjani et al [8], and Vicente et al [26]. However, these solutions are more mathematically complex than those presented here; moreover, they focused on assessing the effects of adsorption and did not consider the effect of viscous instability.…”

Section: Analytical Solution For Polymer Slug Injectionmentioning

confidence: 94%

Analytical solution of polymer slug injection with viscous fingering

Hamid

Muggeridge

2018

Comput Geosci

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We present an analytical solution to estimate the minimum polymer slug size needed to ensure that viscous fingering of chase water does not cause its breakdown during secondary oil recovery. Polymer flooding is typically used to improve oil recovery from more viscous oil reservoirs. The polymer is injected as a slug followed by chase water to reduce costs; however, the water is less viscous than the oil. This can result in miscible viscous fingering of the water into the polymer, breaking down the slug and reducing recovery. The solution assumes that the average effect of fingering can be represented by the empirical Todd and Longstaff model. The analytical calculation of minimum slug size is compared against numerical solutions using the Todd and Longstaff model as well as high resolution first contact miscible simulation of the fingering. The ability to rapidly determine the minimum polymer slug size is potentially very useful during enhanced oil recovery (EOR) screening studies.

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Section: Analytical Solution For Polymer Slug Injectionmentioning

confidence: 94%

Analytical solution of polymer slug injection with viscous fingering

Hamid

Muggeridge

2018

Comput Geosci

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“…Afterward, with considerable simplifications, several authors introduced some analytical solutions to one-dimensional (1D) water and polymer flooding problems such as Buckley and Leverett (BL) and Welge described the classical frontal advance behavior for waterflooding, Pope presented the application of fractional flow theory to EOR, Sorbie and Lake documented the solution to the convection–dispersion equation for polymer transport, and more recent studies have presented analytical expressions − for 1D polymer injection (Table ). Although analytical methods cannot represent all the required physics of multiphase flow for EOR processes, they can draw a rough image of the flooding performance and can help build a decision framework for proceeding to support a decision …”

Section: Introductionmentioning

confidence: 99%

Practical Mathematical Model for the Evaluation of Main Parameters in Polymer Flooding: Rheology, Adsorption, Permeability Reduction, and Effective Salinity

2022

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Polymer flooding is one of the most used chemical enhanced oil recovery (CEOR) technologies worldwide. Because of its commercial success at the field scale, there has been an increasing interest to expand its applicability to more unfavorable mobility ratio conditions, such as more viscous oil. Therefore, an important requirement of success is to find a set of design parameters that balance material requirements and petroleum recovery benefits in a cost-effective manner. Then, prediction of oil recovery turns out to handle more detailed information and time-consuming field reservoir simulation. Thus, for an effective enhanced oil recovery project management, a quick and feasible tool is needed to identify projects for polymer flooding applications, without giving up key physical and chemical phenomena related to the recovery process and avoiding activities or projects that have no hope of achieving adequate profitability. A detailed one-dimensional mathematical model for multiphase compositional polymer flooding is presented. The mathematical formulation is based on fractional flow theory, and as a function of fluid saturation and chemical compositions, it considers phenomena such as rheology behavior (shear thinning and shear thickening), salinity variations, permeability reduction, and polymer adsorption. Moreover, by setting proper boundary and initial conditions, the formulation can model different polymer injection strategies such as slug or continuous injection. A numerical model based on finite-difference formulation with a fully implicit scheme was derived to solve the system of nonlinear equations. The validation of the numerical algorithm is verified through analytical solutions, coreflood laboratory experiments, and a CMG-STARS numerical model for waterflooding and polymer flooding. In this work, key aspects to be considered for optimum strategies that would help increase polymer flooding effectiveness are also investigated. For that purpose, the simulation tool developed is used to analyze the effects of polymer and salinity concentrations, the dependence of apparent aqueous viscosity on the shear rate, permeability reduction, reversible–irreversible polymer adsorption, polymer injection strategies on petroleum recovery, and the flow dynamics along porous media. The practical tool and analysis help connect math with physics, facilitating the upscaling from laboratory observations to field application with a better-fitted numerical simulation model, that contributes to determine favorable scenarios, and thus, it could assist engineers to understand how key parameters affect oil recovery without performing time-consuming CEOR simulations.

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“…We analyze an specific EOR method, polymer flooding, used at the oil recovery. The system of equations that models the two phase flow (oil and water with polymer) into an one dimensional porous media, ignoring the gravity and capillary pressure effects, is written as (see [1]):…”

Section: Introductionmentioning

confidence: 99%

A mathematical study of the viability of the polymer injection process: a simplified model

Lambert¹,

Loures²

2015

Proceeding Series of the Brazilian Society of Computational and Applied Mathematics

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Abstract. It is well known that adding some water soluble polymer into water can enhance the oil recovery factor in the waterflood recovery method. However, this polymer solution increases the injection cost. Not only in reason of the polymer cost itself, but also because of the time for production should be longer in order to reach the water breakthrough. In this work, to study this behavior, we use a simple PDE system that models the flow of water with polymer into a one directional porous media previously filled with oil. Under suitable simplifications, we prove that the system's solution projects to a single scalar equation which we use to create a profit functional. The profit functional allows the study of the economical viability of the polymer injection. This study presents a simple new way to deal with this class of problems where we dynamically obtain regions to optimize the defined functional solution.

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Semi-analytical solution for a hyperbolic system modeling 1D polymer slug flow in porous media

Cited by 11 publications

References 8 publications

Analytical solution of polymer slug injection with viscous fingering

Analytical solution of polymer slug injection with viscous fingering

Practical Mathematical Model for the Evaluation of Main Parameters in Polymer Flooding: Rheology, Adsorption, Permeability Reduction, and Effective Salinity

A mathematical study of the viability of the polymer injection process: a simplified model

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