An analytical solution to wellbore stability using Mogi-Coulomb failure criterion

Singh, Aditya; Rao, K. Seshagiri; Ayothiraman, Ramanathan

doi:10.1016/j.jrmge.2019.03.004

Cited by 42 publications

(15 citation statements)

References 59 publications

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“…Examples of the latter are the Elastic-Brittle-Perfectly plastic model 17,18 ; the Modified Cam Clay model, 19,40,41 the hardening-softening model with a Drucker-Prager condition 20,35 ; viscoplasticity, 42 and the Mogi-Coulomb failure model that accounts for the intermediate stress. 43,44 As these models are based on laboratory measurements, our fast semianalytic approach will be helpful in investigating the consequences on reservoir scale.…”

Section: Discussionmentioning

confidence: 99%

A semianalytic time‐resolved poro‐elasto‐plastic model for wellbore stability and stimulation

Fokker

Singh

Wassing

2020

Num Anal Meth Geomechanics

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Summary Wellbore stability problems and stimulation operations call for models helping in understanding the subsurface behaviour and optimizing engineering performance. We present a fast, iteratively coupled model for the flow and mechanical behaviour that employs a time‐sequential approach. Updates of pore pressure are calculated in a timestepping approach and propagated analytically to updates of the mechanical response. This way, the spatial and temporal evolution of pressure and mechanical response around a wellbore can be evaluated. The sequential approach facilitates the incorporation of pressure diffusion and of time‐dependent plasticity. Also, it facilitates the implementation of permeability evolving with time, due to plasticity or stimulation. The model has been validated by means of a coupled numerical simulator. Its capabilities are demonstrated with a selection of sensitivity runs for typical parameters. Ongoing investigations target geothermal energy operations through the incorporation of thermo‐elastic stresses and more advanced plasticity models.

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Section: Discussionmentioning

confidence: 99%

A semianalytic time‐resolved poro‐elasto‐plastic model for wellbore stability and stimulation

Fokker

Singh

Wassing

2020

Num Anal Meth Geomechanics

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“…As the stress state around a borehole is triaxial, a true-triaxial failure criterion might be more appropriate for obtaining information on the full stress tensor, since the Mohr-Coulomb criterion neglects the effect of the intermediate principal stress (Mogi 2007). Using a Mogi failure criterion (that considers the intermediate stress) in a FEM numerical model, Singh et al (2019) showed that plastic deformation around a borehole was reduced by about 13-20 per cent compared to when using Mohr-Coulomb criterion because the out-of-plane stress increases well bore stability. Intermediate stress effects also appear to depend on the rock type, and anisotropy or weak planes may influence the results.…”

Section: Limitations Of the Approachmentioning

confidence: 99%

Estimating perturbed stress from 3-D borehole displacements induced by fluid injection in fractured or faulted shales

Guglielmi

Nussbaum²,

Rutqvist

et al. 2020

Geophysical Journal International

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S U M M A R YHydrofracturing stress measurements in fractured and anisotropic shales are notoriously difficult, because opening of existing geological features tends to prevent the creation of a pure hydraulic fracture perpendicular to the least compressive principal stress. Here we show how adding 3-D borehole-displacement measurements while conducting the hydraulic injection test helps to better constrain the principal stress orientations and magnitudes. We developed a 3-D fully coupled hydromechanical numerical model to analyse the displacement, fluid pressure and injection flow-rate data measured during an injection pressure-step-rate test conducted to activate a faulted borehole interval in the Mont Terri Opalinus Clay (Switzerland). We find that injected fluids can only penetrate the fault when it is at or above the Coulomb failure pressure. Borehole displacement orientations are sensitive to a ∼15 • variation in the stress-tensor orientation and a 1 MPa stress magnitude variation. Although some dispersion occurs while rupture is propagating along the fault plane ∼4 m away from the borehole, the maximum density of displacement orientations consistently informs about the stress orientation. Thus, an extended injection step-rate approach coupled with an accurate in situ measurement of the borehole wall displacements can be used to better constrain the local stress field perturbations in fractured shales and in heterogeneous rock in general.

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“…Mogi-Coulomb failure criterion, which is a shear failure criterion, is selected, as it is simple to use and also considers the effect of intermediate principal stress, influence of which on rock failure mechanisms can not be neglected [14]. Basic concepts of the Mogi-Coulomb failure criterion were firstly presented by Mogi.…”

Section: Mogi-coulomb Failure Criterionmentioning

confidence: 99%

Uncertainty assessment of wellbore stability analysis in horizontal sections

Moradi

Nikolaev

2020

SN Appl. Sci.

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Over the last years, horizontal wells have found applications in many different geological and technical situations to enhance the production rate from the oil and gas reservoirs. However, well instability problems are often reported during construction of these types of wells. To mitigate instability problems, which are usually difficult and costly to solve, well stability analysis are conducted before the construction process begins. Different geomechanical and mathematical models that are used in the well stability studies, do not include the uncertainty assessments of the models. As majority of input parameters into the geomechanical models are subjected to some extent of errors and uncertainties, therefore, it is essential to quantify the uncertainty associated with the output of the geomechanical models. In this work, a Monte Carlo simulation technique is applied to quantify the uncertainty in the output of a poroelastic model to make more reliable decisions in the well construction process.

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An analytical solution to wellbore stability using Mogi-Coulomb failure criterion

Cited by 42 publications

References 59 publications

A semianalytic time‐resolved poro‐elasto‐plastic model for wellbore stability and stimulation

A semianalytic time‐resolved poro‐elasto‐plastic model for wellbore stability and stimulation

Estimating perturbed stress from 3-D borehole displacements induced by fluid injection in fractured or faulted shales

Uncertainty assessment of wellbore stability analysis in horizontal sections

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