Fluid dynamics in naturally fractured tectonic reservoirs

Barros-Galvis, Nelson; Samaniego, V Fernando; Cinco-Ley, Héber

doi:10.1007/s13202-017-0320-8

Cited by 8 publications

(9 citation statements)

References 32 publications

(20 reference statements)

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“…In this section, we aim to numerically replicate the time‐dependent fracturing wellbore pressure during fracture propagation (i.e., the fourth stage outlined above) as described by an analytical solution presented in Barros‐Galvis et al. (2017).

p_{w e l l} = p_{0} - \frac{μ q}{4 π k_{0} h} ([], ln ((), \frac{t k_{0} τ_{0}}{ϕ_{f} μ r_{w e l l}^{2}}) + 0.81)

where t is the time elapsed since fracture initialization, q is the fluid injection rate, p well is the wellbore pressure, p 0 is the minimum pressure required for starting a fracture (a function of the solid's yield stress τ 0 ), h is the formation thickness, and r well is the wellbore radius.…”

Section: Model Validationmentioning

confidence: 99%

Modeling Multiphase Flow Within and Around Deformable Porous Materials: A Darcy‐Brinkman‐Biot Approach

Carrillo

Bourg

2021

Water Resources Research

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We present a new computational fluid dynamics approach for simulating two‐phase flow in hybrid systems containing solid‐free regions and deformable porous matrices. Our approach is based on the derivation of a unique set of volume‐averaged partial differential equations that asymptotically approach the Navier‐Stokes Volume‐of‐Fluid equations in solid‐free regions and multiphase Biot Theory in porous regions. The resulting equations extend our recently developed Darcy‐Brinkman‐Biot framework to multiphase flow. Through careful consideration of interfacial dynamics (relative permeability and capillary effects) and extensive benchmarking, we show that the resulting model accurately captures the strong two‐way coupling that is often exhibited between multiple fluids and deformable porous media. Thus, it can be used to represent flow‐induced material deformation (swelling, compression) and failure (cracking, fracturing). The model's open‐source numerical implementation, hybridBiotInterFoam, effectively marks the extension of computational fluid mechanics into modeling multiscale multiphase flow in deformable porous systems. The versatility of the solver is illustrated through applications related to material failure in poroelastic coastal barriers and surface deformation due to fluid injection in poro‐visco‐plastic systems.

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p_{w e l l} = p_{0} - \frac{μ q}{4 π k_{0} h} ([], ln ((), \frac{t k_{0} τ_{0}}{ϕ_{f} μ r_{w e l l}^{2}}) + 0.81)

Section: Model Validationmentioning

confidence: 99%

Modeling Multiphase Flow Within and Around Deformable Porous Materials: A Darcy‐Brinkman‐Biot Approach

Carrillo

Bourg

2021

Water Resources Research

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“…Fractures are able to establish a connection between an injection well and a production well . Hitherto, several carbonate fractured reservoirs were examined and their fluid properties which influence oil recovery were determined (Abdelazim 2016;Barros-Galvis et al 2017;Parker-Lamptey et al 2017;Rahimi et al 2017;Ruidiaz et al 2017). However, controlling unwanted water production has been the major purpose of oil and gas producers (Chen et al 2017;Izadmehr et al 2017).…”

Section: Introductionmentioning

confidence: 99%

Synthesis of an efficient copolymer of acrylamide and acrylic acid and determination of its swelling behavior

Heidari

Esmaeilzadeh

Mowla

et al. 2018

J Petrol Explor Prod Technol

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The main purpose of this work is to prepare an efficient series of preformed particle gels (PPGs) and to study their behaviors to control unwanted water in oil fields. To this end, 12 copolymer samples composed of acrylamide and acrylic acid [poly(AAm-co-AA)] with different AAm/AA mole ratios and various mole percentages of N,N′-methylenebisacrylamide (MBA) were synthesized by a free radical copolymerization method. The gelation time of each sample was measured. The samples were dried in three consecutive steps: drying at atmospheric condition, drying in the oven, and drying in the vacuum oven, respectively. The chemical structure and morphology of the prepared PPGs were studied by a Fourier transform infrared spectroscopy and a scanning electron microscopy, respectively. Additionally, the swelling percentage of PPG samples was examined in different types of salt water (MgCl 2 ·6H 2 O, CaCl 2 ·2H 2 O, BaCl 2 ·2H 2 O, NaCl, KCl, and LiCl) with 200,000 ppm concentration and pH in the range of 3-8. Our results showed that the synthesized PPGs had swelling percentage (S%) in the range of 2-1300% for different types of salt solution. Moreover, the results confirmed that the swelling amount of PPG samples has a parabolic behavior against mole ratio of AAm/AA and decreases with increasing mole percentage of MBA.

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“…Over the past 30 years, thousands of papers have focused on the transient pressure analysis for a finite-conductivity fracture (Barros-Galvis et al, 2018;Chen et al, 2017;Cinco-Ley and Samaniego, 1981;Ozkan et al, 2011;Tian et al, 2017;Yuan et al, 2015aYuan et al, , 2015b.…”

Section: Introductionmentioning

confidence: 99%

“…Little research on hydraulic fracturing was conducted on multilayered reservoirs. Now that hydraulic fracturing stimulation has been widely and successfully used for economic production in oilfields (Barros-Galvis et al., 2018; Ezulike et al., 2015; Gao and Li, 2015), it is necessary to establish a mathematical model of a hydraulic fracturing well combined with multilayered reservoirs.…”

Section: Introductionmentioning

confidence: 99%

“…The transient pressure and the flow regimes in detail for a finite-conductivity fracture in a Laplace domain were studied (Cinco-Ley and Samaniego, 1981; Cinco-Ley and Meng, 1981). Over the past 30 years, thousands of papers have focused on the transient pressure analysis for a finite-conductivity fracture (Barros-Galvis et al., 2018; Chen et al., 2017; Cinco-Ley and Samaniego, 1981; Ozkan et al., 2011; Tian et al., 2017; Yuan et al., 2015a, 2015b).…”

Section: Introductionmentioning

confidence: 99%

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A mathematical model and semi-analytical solution for transient pressure of vertical fracture with varying conductivity in three crossflow rectangular layers

Liu

et al. 2018

Energy Exploration & Exploitation

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This paper first describes a mathematical model of a vertical fracture with constant conductivity in three crossflow rectangular layers. Then, three forms of vertical fracture (linear, logarithmic, and exponential variations) with varying conductivity are introduced to this mathematical model. A novel mathematical model and its semi-analytical solution of a vertical fracture with varying conductivity intercepting a three-separate-layered crossflow reservoir is developed and executed. Results show that the transient pressures are divided into three stages: the linear-flow phase, the medium unsteady-flow stage, and the later pseudo-steady-flow phase. The parameters of the fracture, reservoir, and the multi-permeability medium directly influence the direction, transition, and shape of the transient pressure. Meanwhile, the fracture conductivity is higher near the well bottom and is smaller at the tip of the fracture for the varying conductivity. Therefore, there are many more differences between varying conductivity and constant conductivity. Varying conductivity can correctly reflect the flow characteristics of a vertical fractured well during well-test analysis.

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Fluid dynamics in naturally fractured tectonic reservoirs

Cited by 8 publications

References 32 publications

Modeling Multiphase Flow Within and Around Deformable Porous Materials: A Darcy‐Brinkman‐Biot Approach

Modeling Multiphase Flow Within and Around Deformable Porous Materials: A Darcy‐Brinkman‐Biot Approach

Synthesis of an efficient copolymer of acrylamide and acrylic acid and determination of its swelling behavior

A mathematical model and semi-analytical solution for transient pressure of vertical fracture with varying conductivity in three crossflow rectangular layers

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