Porothermoelasticity in Transversely Isotropic Porous Materials

Abousleiman, Younane N.; Ekbote, S.

doi:10.1007/0-306-46953-7_21

Cited by 5 publications

(1 citation statement)

References 10 publications

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“…Analytical solutions were presented by Abousleiman and Ekbote (2001) and Tao et al (2005). The fluid and formation parameters are presented in Table 1; the well drilled in the isotropic formation is assumed to be vertical; the maximum in-situ stress direction is north; the initial in-situ stress, pore pressure, solute mass fraction and temperature are applied in the formation model; the drilling operation is simulated by removing the borehole part element and apply drilling fluid hydraulic pressure, pore pressure, solute mass fraction and temperature on the borehole wall instantaneously at t ¼ 0; and the transient magnitudes of solute mass traction and temperature included in governing equations are substituted by the mean values to obtain analytical solutions for the linear chemothermo-poroelastic problem.…”

Section: Verification Of the Finite Element Methodsmentioning

confidence: 99%

Pore pressure and stress distribution analysis around an inclined wellbore in a transversely isotropic formation based on the fully coupled chemo-thermo-poroelastic theory

Cao

Deng

Liu

et al. 2017

Journal of Natural Gas Science and Engineering

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a b s t r a c tWellbore instability is a widespread problem when drilling in shale formations, particularly with waterbased drilling fluid. The main reason for the occurrence of wellbore instability is that stress concentration and pore pressure redistribution occur around the wellbore once a hole is drilled; current studies show that the drilling fluid temperature and solute mass fraction play important roles during the process. In this work, a non-linear fully coupled chemo-thermo-poroelastic finite element model is developed to quantitatively access thermal and chemical effects on time-dependent pore pressure and effective stresses; in addition, material constant sensitivity analysis of an inclined well drilled in a transversely isotropic formation is presented. The results reveal the following: fluid transfer is greatly affected by thermal and chemical osmosis, the lower temperature and higher solute mass fraction of the drilling fluid contribute to decreasing the pore pressure and are beneficial for wellbore stability, and thermal parameters (such as thermal osmosis coefficient and thermal diffusivity) and chemical parameters (such as reflection coefficient and solute diffusion coefficient) have high effects on the pore pressure and effective stresses. Anisotropy ratio analysis of the material constants indicates that the pore pressure and effective stresses are very sensitive to Young's modulus and the permeability ratio, but are not sensitive to Poisson's ratio. Therefore, the developed coupled chemo-thermo-poroelastic theory illustrates that optimization of the reduction of the drilling fluid temperature while maintaining a high solute mass fraction could enhance wellbore stability.

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Section: Verification Of the Finite Element Methodsmentioning

confidence: 99%

Pore pressure and stress distribution analysis around an inclined wellbore in a transversely isotropic formation based on the fully coupled chemo-thermo-poroelastic theory

Cao

Deng

Liu

et al. 2017

Journal of Natural Gas Science and Engineering

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The Generalized Lame´ Problem—Part I: Coupled Poromechanical Solutions

Kanj

Abousleiman

2004

Journal of Applied Mechanics

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Cylindrical geometries are known to present special problem simulation capabilities in engineering design. (For example, solid and hollow cylinder tests are routinely studied in soil and rock mechanics to gain insights into the geomechanical properties and to assess the stability of boreholes and cylindrical openings in the project design geomedia.) This paper identifies a unified and universal solution to all the three recognized right-cylindrical problem objects in poromechanics. A closed-form solution to the problem of the finite, homogeneous, isotropic, fully saturated, thick-walled hollow cylinder subjected to various loading modes is readily presented and described. The assumed loading modes encompass arbitrary temporal functions of uniformly distributed inner/outer pore pressure, inner/outer confining pressure, inner/outer deviatoric stress, and end axial compaction or extension. The time-dependent response derivations are outlined within the frameworks of the Biot’s theory of linear poroelasticity and facilitated by the governing generalized plane-strain (GPS) principle. The (as presented) solution is shown to converge asymptotically to those of the two essential problem setups in geomechanics: the finite solid cylinder and the borehole core in an infinite medium. As such, a complete/explicit solution to a generalized statement of the Lame´ problem is presented. The solution utilizes a fairly simple loading decomposition scheme which leads to two basic problem forms: a generalized poroelastic axisymmetric problem and a generalized, plane-strain, poroelastic deviatoric problem.

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Solutions for the Inclined Borehole in a Porothermoelastic Transversely Isotropic Medium

Abousleiman

Ekbote

2005

Journal of Applied Mechanics

139

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A porothermoelastic solution of the general problem of the inclined borehole in a transversely isotropic porous material is presented herein and compared with the isotropic porothermoelastic solution. The governing equations are outlined for the case of general anisotropy and specialized for a transversely isotropic poroelastic material under nonhydrostatic and nonisothermal in situ conditions. A superposition scheme is employed to obtain the analytical solutions within the isotropic and transversely isotropic poromechanics theory. The borehole generator is assumed to coincide with the material axis of symmetry, in the case of transverse isotropy, yet subjected to a three-dimensional state of stress. A systematic analysis has been carried out to evaluate the effect of the anisotropy of the poromechanical material parameters as well as the thermal material properties on stress and pore pressure distributions and the potential impact on the overall stability of deep wellbore drilling.

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Porothermoelasticity in Transversely Isotropic Porous Materials

Cited by 5 publications

References 10 publications

Pore pressure and stress distribution analysis around an inclined wellbore in a transversely isotropic formation based on the fully coupled chemo-thermo-poroelastic theory

Pore pressure and stress distribution analysis around an inclined wellbore in a transversely isotropic formation based on the fully coupled chemo-thermo-poroelastic theory

The Generalized Lame´ Problem—Part I: Coupled Poromechanical Solutions

Solutions for the Inclined Borehole in a Porothermoelastic Transversely Isotropic Medium

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