Determining model parameters for non-linear deep-bed filtration using laboratory pressure measurements

Vaz, Alexandre; Bedrikovetsky, Pavel; Fernandes, Paulo Dore; Badalyan, Alexander; Carageorgos, Themis

doi:10.1016/j.petrol.2017.01.001

Cited by 42 publications

(16 citation statements)

References 45 publications

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“…Fall in pressure is attributed to fines straining and permeability blockage. Typically, the pressure across the core varies sharply, especially begins to drop during coreflood experiments (Vaz et al 2017). Additionally, recent research reports that rock core heterogeneity affects the CO 2 saturation, which consequently reduces the permeability and pressure across the core during multiphase flow (Oh et al 2019).…”

Section: Resultsmentioning

confidence: 99%

Subcritical CO2 effects on kaolinite fines transport in porous limestone media

Mahalingam¹,

Pranesh²,

Kanimozhi

et al. 2019

J Petrol Explor Prod Technol

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Carbonate reservoirs account for 60% share in global oil reserves, and CO 2-EOR process is employed in these carbonate fields for effective oil recovery and retention as well. Recent research reports that fines migration may lead to reservoir formation damage in oil bearing limestone and dolomite rocks. Although carbonate reservoirs are poor in clay minerals, some mass of clay fines existence in certain carbonate formations will cause severe damage to permeability and well productivity. This paper reports the single-phase flow of subcritical CO 2 in porous limestone rock core containing kaolinite clay fines. Fines are natural reservoir minerals (example, quartz) and clay particles such as kaolinite, illite, feldspar, smectite, and montmorillonite. But, this paper explores this CO 2-clay fines behavior in limestone rock as a function of kaolinite. So, two sets of core flood experiments were performed in the rock temperatures 120 °C and 160 °C. Initially, kaolinite clay has been injected into the limestone core in the form of suspension and then dried for hours in order to retain the solid fines in the internal pore chambers of the core. After that, the CO 2 under subcritical condition has been injected into the porous limestone core for fines mobilization and injected gas recovery. The major observations that are reported from the experimental tests are there is an increase in gas saturation for increasing injection time. Steady rise of heat transfer coefficient and enthalpy was noted for increasing gas saturation and time. Concentration of fines linearly soars with respect to elevating PVI and permeability declines for rising time. Pressure in the limestone core shows abnormal and nonlinear variation. Finally, gas discharge rate declines for increasing injection time. Experimental data are tested against the statistical model (regression), and the outcome indicated good agreement. Overall, this paper has successfully established the CO 2 effects on kaolinite clay fines behavior and its impact on oil recovery in carbonate fields.

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Section: Resultsmentioning

confidence: 99%

Subcritical CO2 effects on kaolinite fines transport in porous limestone media

Mahalingam¹,

Pranesh²,

Kanimozhi

et al. 2019

J Petrol Explor Prod Technol

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“…The analogous inverse problem for the modified system (, , ) also involves breakthrough concentration c ( L , t ) that is measured by turbidimeter during corefloods with either suspension‐colloidal injection or high‐rate injection of colloid‐free water (Vaz et al, , ). Modern scanning computational tomography provides retention profile measurements s ( x , t k ), k = 1, 2 … at discrete moments (Arns, ; Arns et al, ; Yu et al, ).…”

Section: Discussionmentioning

confidence: 99%

“…If pressure drop across the core is measured during the suspension‐colloidal flow, the formation damage function k ( s ) can also be estimated in these experiments (Alvarez et al, ). Pressure measurements in intermediate core ports (so‐called three‐point pressure method) allows capturing either extra model functions or core heterogeneity (Vaz et al, , ). The permeability distribution can be estimated from the suspension‐colloidal flow tests with monitoring pressure along the core (Krause et al, ; Rabinovich, ).…”

Section: Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Exact Upscaling for Transport of Size‐Distributed Colloids

Bedrikovetsky

Osipov

Кузьмина

et al. 2019

Water Resources Research

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The article investigates one-dimensional (1-D) suspension-colloidal transport of size-distributed particles with particle attachment. A population balance approach is presented for computing the particle transport and capture by porous media. The occupied area of each attached particle is particle size-dependent. The main model assumption is the retention rate dependency of the overall vacancy concentration for all particle sizes. For the first time, we derive an exact averaging (upscaling) procedure resulting in a closed system of large-scale equations for average concentrations of suspended and retained particles and of occupied rock surface area. The resulting large-scale 3 × 3 system significantly differs from the traditional 2 × 2 deep bed filtration model. However, the traditional model becomes a particular case that corresponds to an equal occupied area for all particles. The averaging yields the appearance of two empirical suspension and site occupation functions, which govern the kinetics of particle retention and site occupation, respectively. One-dimensional flow problems for the averaged equations are essentially nonlinear. However, they allow for exact solutions. We derive novel exact solutions for three 1-D problems: continuous injection of particulate colloidal suspension, injection of colloidal suspension bank with particle-free chase drive, and fines migration induced by high-rate flows. The analytical model for continuous injection closely matches three series of laboratory tests on nanofluid transport.

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“…At the outlet 1 x  , the asymptotic error is greatest. These solutions make it possible to reduce the amount of experimental research and simplify the solution of the inverse problemobtaining system coefficients from laboratory measurements of suspended particles concentrations at the porous medium outlet [20,21].…”

Section: Discussionmentioning

confidence: 99%

Global asymptotics of filtration in porous media

2019

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Filtration problems are actual for the design of underground structures and foundations, strengthening of loose soil and construction of watertight walls in the porous rock. A liquid grout pumped under pressure penetrates deep into the porous rock. Solid particles of the suspension retained in the pores, strengthen the loose soil and create watertight partitions. The aim of the study is to construct an explicit analytical solution of the filtration problem. A one-dimensional model of deep bed filtration of a monodisperse suspension in a homogeneous porous medium with size-exclusion mechanism of particles retention is considered. Solid particles are freely transferred by the carrier fluid through large pores and get stuck in the throats of small pores. The mathematical model of deep bed filtration includes the mass balance equation for suspended and retained particles and the kinetic equation for the deposit growth. The model describes the movement of concentrations front of suspended and retained particles in an empty porous medium. Behind the concentrations front, solid particles are transported by a carrier fluid, accompanied by the formation of a deposit. The complex model has no explicit exact solution. To construct the asymptotic solution in explicit form, methods of nonlinear asymptotic analysis are used. The new coordinate transformation allows to obtain a parameter that is small at all points of the porous sample at any time. In this paper, a global asymptotic solution of the filtration problem is constructed using a new small parameter. Numerical calculations are performed for a nonlinear filtration coefficient found experimentally. Calculations confirm the closeness of the asymptotics to the solution in the entire filtration domain. For a nonlinear filtration coefficient, the asymptotics is closer to the numerical solution than the exact solution of the problem with a linear coefficient. The analytical solution obtained in the paper can be used to analyze solutions of problems of underground fluid mechanics and fine-tune laboratory experiments.

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Determining model parameters for non-linear deep-bed filtration using laboratory pressure measurements

Cited by 42 publications

References 45 publications

Subcritical CO2 effects on kaolinite fines transport in porous limestone media

Subcritical CO2 effects on kaolinite fines transport in porous limestone media

Exact Upscaling for Transport of Size‐Distributed Colloids

Global asymptotics of filtration in porous media

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