Mathematical modeling of co-current spontaneous imbibition in heterogeneous porous medium

Ghosh, Tufan; Sekhar, G. P. Raja; Deb, Debasis

doi:10.1016/j.euromechflu.2019.02.004

Cited by 9 publications

(3 citation statements)

References 40 publications

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“…where q t is the total volume flux. The solution of the capillary-driven flow is a hard problem due to the nonlinearity in the original flow equations (Ghosh et al, 2019). The main assumption for the spontaneous imbibition is that imbibition rate is inversely proportional to the square root of time (Andersen et al, 2019a;Andersen et al, 2019b) and Schmid et al (2011) reported a semi-analytical solution for co-and counter-current imbibition by fully taking hydrodynamic dispersion for variable two-phase flow field into account.…”

Section: Analytical Models Of Spontaneous Imbibition With Different Bmentioning

confidence: 99%

Recent advances in spontaneous imbibition with different boundary conditions

Meng¹,

Cai²

2018

Capillarity

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Spontaneous imbibition plays an important role in many practical processes, such as oil recovery, hydrology, and environmental engineering. The past few years have witnessed a rapid development in the mechanism analysis and industry applications of spontaneous imbibition. In this paper, we focus on boundary conditions of spontaneous imbibition, which has important effects on the imbibition rate and efficiency. Various boundary conditions are first generated using different capillary model and introduced focusing on the fundamental physical mechanisms. Then, the studies of spontaneous imbibition in core scale are reviewed. The feature is discussed and the relative permeability for coand counter-current imbibition is analyzed. The scaling of imbibition data with different boundary conditions is also presented by combination of experimental and numerical methods. An analytical model to describe spontaneous imbibition is provided at the end.

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Section: Analytical Models Of Spontaneous Imbibition With Different Bmentioning

confidence: 99%

Recent advances in spontaneous imbibition with different boundary conditions

Meng¹,

Cai²

2018

Capillarity

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“…Actually, governments should have a comprehensive look at all issues for obtaining high-security percent for their inhabitants especially in the energy field (Razmjoo and Davarpanah, 2019;Razmjoo et al, 2019a;Razmjoo et al, 2019b;Davarpanah et al, 2019b). Underbalanced drilling is contributed as the designation of lower drilling fluid hydrostatic head rather than the pressure of the drilling formation to provide the formation stability during the drilling operations (Davarpanah et al, 2018a;Ghosh et al, 2019;Hamon and Vidal, 1986;Kashchiev and Firoozabadi, 2002). Therefore, it would be considered as one of the efficient drilling techniques to control the formation damage (Davarpanah, 2018;Davarpanah and Mirshekari, 2019;Kroepsch et al, 2019;Willis et al, 2018Willis et al, , 2019.…”

Section: Introductionmentioning

confidence: 99%

A parametric study to numerically analyze the formation damage effect

Davarpanah

Mirshekari

Razmjoo

2019

Energy Exploration & Exploitation

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Spontaneous countercurrent imbibition is one of the essential parameters in the study of formation damage effect in hydrocarbon reservoirs when the drilling fluid is contacted with the drilled formation. Formation damage is considered as one of the harmful phenomena which would seriously affect the efficiency of drilling performances. In this paper, a numerical model was proposed to analyze the main parameters which have profoundly impacted the formation damage. Based on the following parameters of porosity, permeability, water saturation, oil viscosity, pressure drop, contact time, and capillary pressure which were performed in the proposed model, the dominant influence of each parameter was evaluated in more detail. Regarding the high expenditures of scanning electron microscopy and CT scan in petroleum industries, the proposed analytical model would be beneficial instead of spending vast expenditures of experimental evaluation. Subsequently, to provide the accuracy of the model, a set of experimental CT scan data were used to validate the proposed model, and according to the results of this study, it is evident that the proposed model results are in a good agreement with the laboratory data.

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“…In [11] a heterogeneous porous medium with cracks and small inclination is investigated. A partially covered homogenous hydrocarbon reservoir is studied by modeling the phenomena of co-current spontaneous imbibition during oil recovery [12], [13]. The optimal homotopy analysis method is used to find approximated solutions of imbibition phenomena arising in heterogenous porous media [14].…”

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confidence: 99%

Analysis of Multi-Phase Flow Through Porous Media for Imbibition Phenomena by Using the LeNN-WOA-NM Algorithm

et al. 2020

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The flow of fluids in multi-phase porous media results due to many interesting natural phenomena. The counter-current water imbibition phenomena, that occur during oil extraction through a cylindrical well is an interesting problem in petroleum engineering. During the secondary oil recovery process, water is injected into a porous media having heterogenous and homogenous characteristics. Due to the difference in viscosities of fluids in oil wells, the counter-current imbibition phenomenon occurs. At that moment, the imbibition equation V i = −V n is satisfied by the viscosities of oil and water. In this paper, we have analyzed the governing mathematical model of the imbibition phenomenon occurring during the secondary oil recovery process. A new soft computing algorithm is designed and adapted to analyze the mathematical model of dual-phase flow in detail. Weighted Legendre polynomials based artificial neural networks are hybridized with an efficient global optimizer the Whale Optimization Algorithm (WOA) and a local optimizer the Nelder-Mead algorithm. It is established, that our algorithm LeNN-WOA-NM is efficient and reliable in calculating high-quality solutions in less time. We have compared our experimental outcome with state-of-the-art results. The quality of our solutions is judged based on values of absolute errors, MAD, TIC, and ENSE. It is obvious that LeNN-WOA-NM algorithm can solve real application problems efficiently and accurately. INDEX TERMS Counter-current imbibition phenomena, homogeneous porous media, heterogeneous porous media, capillary pressure, soft computing algorithm, weighted Legendre neural networks, Nelder-Mead algorithm, whale optimization algorithm. I. INTRODUCTION T HIS paper models the phenomena of counter-current imbibition in the multi-phase flow of two immiscible fluids through heterogeneous and homogenous porous mediums that occurs during the secondary oil recovery process or water flooding [1]. In applied sciences, various changes occur in porous mediums having multi-phase flows of different fluids. In the past few decades, researchers are focused on studying the flows in underground petroleum reservoirs [2]. The primary recovery process includes the production of oil by simple natural decompression with no effect of external forces at wells [3]. In secondary oil recovery or water flooding process, fluids like water, polymer, steam are injected into a reservoir through injection wells located in rocks that have fluid communication with production wells. This process is called the immiscible displacement process [3].

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Mathematical modeling of co-current spontaneous imbibition in heterogeneous porous medium

Cited by 9 publications

References 40 publications

Recent advances in spontaneous imbibition with different boundary conditions

Recent advances in spontaneous imbibition with different boundary conditions

A parametric study to numerically analyze the formation damage effect

Analysis of Multi-Phase Flow Through Porous Media for Imbibition Phenomena by Using the LeNN-WOA-NM Algorithm

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