Description of fluid flow around a wellbore with stress-dependent porosity and permeability

Han, Gang; Dusseault, Maurice B.

doi:10.1016/s0920-4105(03)00047-0

Cited by 69 publications

(44 citation statements)

References 22 publications

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“…From the perspective of applications in geotechnical engineering, this phenomenon is relevant in various engineering processes where crushing-related damage and internal instability are consequential, such as e.g. : detrimental clogging and formation damage near petroleum wells [12], permeability losses around perforations [10,31], impaired fluid conduction owing to particle crushing in locations adjacent to testing penetrometers and friction fatigue around piles [42], and crushing-induced instability transitions in highly stressed soil masses adjacent to or located within geotechnical structures, for instance filters for large dams [19]. [44] and [35] have discussed the effect of soil crushing on pile end bearing capacity while, more recently [22] examined the effect of particle crushing on the capacity of driven piles; Zheghal [45] studied the role of grain crushing in road construction; [29] reported that grain crushing within the failure zone is responsible for the rapid long run-out motion of landslides and sturzstroms, as observed in physical experiments in a geotechnical drum centrifuge by [16].…”

Section: Introductionmentioning

confidence: 99%

Breakage of an artificial crushable material under loading

2013

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The mechanical behaviour of granular materials depends on their grading. Crushing of particles under compression or shear modifies the grain size distribution, with a tendency for the percentage of fine material to increase. It follows that the frictional properties of the material and the critical states are modified as a consequence of the changes in grain size distribution and the available range of packing densities. This paper illustrates an extended experimental investigation of the evolution of the grading of an artificial granular material, consisting of crushed expanded clay pellets under different loading conditions. The changes of grading of the material after isotropic, one-dimensional and constant mean effective stress triaxial compression were described using a single parameter based on the ratio of the areas under the current and an ultimate cumulative particle size distribution, which were both assumed to be consistent with self similar grading with varying fractal dimension. Relative breakage was related to the total work input for unit of volume. For poorly graded samples, the observed maximum rate of breakage is practically independent of initial uniformity. Further

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Section: Introductionmentioning

confidence: 99%

Breakage of an artificial crushable material under loading

2013

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“…Chen et al (2003) developed a model that included the poroelastic, chemical, and thermal effects [23]. Han and Dusseault (2003) derived the effective stress distributions around a wellbore producing oil with poro-inelastic and different boundary conditions [7]. All of the above models are based on Darcy's fluid flow assumption.…”

Section: Coupling Fluid Flow and Induced Stressesmentioning

confidence: 99%

“…The impact of the flow of hydrocarbon when enters into the wellbore on the induced stresses around the wellbore have been reported by researchers [6] [7][8] [9]. For example the tangential stresses were increased due to stress concentration and fluid withdrawal that leads to compressive failure around a cavity of a well [6] or when the pore pressure gradient is very high, the effective radial stress may be tensile [8].…”

Section: Introductionmentioning

confidence: 99%

The effect of Non-Darcy Flow on Induced Stresses Around a Wellbore in an anisotropic in-situ stress field

2017

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After drilling a well, the stresses will be altered and the induced stresses present the new state of stress. These induced stresses which result in geomechanical problems. The studies indicate that the flow of hydrocarbon into the wellbore influences the induced stresses. Darcy equation has been used in the past; however, the laminar flow assumption embedded in this equation cannot correctly model the flow of fluid when a nonDarcy flow dominates near a wellbore. Example of such situation includes the gas wells.In this study, analytical equations are developed to incorporate the effect of nonDarcy flow on the induced stresses around a wellbore. These equations developed based on Forchheimer flow equation. Then the simplified solutions were presented by considering the second term of Forchheimer flow equation. It was found that the difference between the results from Darcy and nonDarcy flow models is proportional to the drawdown pressure.Further studies included numerical simulation of non-Darcy fluid flow in a typical reservoir.Comparison of the results with the analytical models indicated that the magnitude of stresses in non-Darcy flow is larger than of Darcy flow.Finally, sensitivity of the reservoir properties on the induced stresses in the non-Darcy flow regime was investigated.

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“…Studies have demonstrated the significance of both elastic and plastic deformations on wellbore producibility and/or injectivity as well as permeability prediction in other types of reservoirs (e.g. Cui et al 2007;Han and Dusseault 2003;Masoudian et al 2016b). In addition, the stability of wellbores is an important issue in any oil and gas production project.…”

Section: Introductionmentioning

confidence: 99%

Elastic–Brittle–Plastic Behaviour of Shale Reservoirs and Its Implications on Fracture Permeability Variation: An Analytical Approach

et al. 2018

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Shale gas has recently gained significant attention as one of the most important unconventional gas resources. Shales are fine-grained rocks formed from the compaction of silt-and clay-sized particles and are characterised by their fissured texture and very low permeability. Gas exists in an adsorbed state on the surface of the organic content of the rock and is freely available within the primary and secondary porosity. Geomechanical studies have indicated that, depending on the clay content of the rock, shales can exhibit a brittle failure mechanism. Brittle failure leads to the reduced strength of the plastic zone around a wellbore, which can potentially result in wellbore instability problems. Desorption of gas during production can cause shrinkage of the organic content of the rock. This becomes more important when considering the use of shales for CO 2 sequestration purposes, where CO 2 adsorption-induced swelling can play an important role. These phenomena lead to changes in the stress state within the rock mass, which then influence the permeability of the reservoir. Thus, rigorous simulation of material failure within coupled hydro-mechanical analyses is needed to achieve a more systematic and accurate representation of the wellbore. Despite numerous modelling efforts related to permeability, an adequate representation of the geomechanical behaviour of shale and its impact on permeability and gas production has not been achieved. In order to achieve this aim, novel coupled poro-elastoplastic analytical solutions are developed in this paper which take into account the sorption-induced swelling and the brittle failure mechanism. These models employ linear elasticity and a Mohr-Coulomb failure criterion in a plane-strain condition with boundary conditions corresponding to both open-hole and cased-hole completions. The post-failure brittle behaviour of the rock is defined using residual strength parameters and a non-associated flow rule. Swelling and shrinkage are considered to be elastic and are defined using a Langmuir-like curve, which is directly related to the reservoir pressure. The models are used to evaluate the stress distribution and the induced change in permeability within a reservoir. Results show that development of a plastic zone near the wellbore can significantly impact fracture permeability and gas production. The capabilities and limitations of the models are discussed and potential future developments related to modelling of permeability in brittle shales under elastoplastic deformations are identified.

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Description of fluid flow around a wellbore with stress-dependent porosity and permeability

Cited by 69 publications

References 22 publications

Breakage of an artificial crushable material under loading

Breakage of an artificial crushable material under loading

The effect of Non-Darcy Flow on Induced Stresses Around a Wellbore in an anisotropic in-situ stress field

Elastic–Brittle–Plastic Behaviour of Shale Reservoirs and Its Implications on Fracture Permeability Variation: An Analytical Approach

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