On finite volume method implementation of poro‐elasto‐plasticity soil model

Tang, Tian; Hededal, Ole; Cardiff, Philip

doi:10.1002/nag.2361

Cited by 55 publications

(22 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…FVM is considered a simpler, less complex alternative to FEM and allows incorporation of multi-physics system of equations with relative ease (Jasak and Weller 2000, Tang et al 2015, Tukovic et al 2012. Reservoir domain discretization using FVM and 2-D single fracture propagation using cohesive zone method has been discussed before (Carolan et al 2013, Lee et al 2015.…”

Section: Introductionmentioning

confidence: 99%

Strategies for Effective Stimulation of Multiple Perforation Clusters in Horizontal Wells

Manchanda

Bryant

Bhardwaj

et al. 2016

Day 1 Tue, February 09, 2016

View full text Add to dashboard Cite

Increasing the efficiency of completions in horizontal wells is an important concern in the oil and gas industry. To decrease the number of fracturing stages per well it is common practice to use multiple clusters per stage. This is done with the hope that most of the clusters in the stage will be effectively stimulated. Diagnostic evidence, however, suggests that in many cases only 1 or 2 clusters out of 4 or 5 clusters in a stage are effectively stimulated.In this paper strategies to maximize the number of effectively stimulated perforation clusters are discussed. A fully 3-D poroelastic model that simulates the propagation of non-planar fractures in heterogeneous media is developed and used to model the propagation of multiple competing, fractures. A parametric study is first conducted to show how important fracture design variables such as limited entry perforations and cluster spacing; and formation parameters such as permeability, lateral and verical heterogeneity affect the growth of competing fractures. The effect of stress shadowing due to both mechanical and poroelastic effects is accounted for.3-D numerical simulations have been performed to show the impact of some operational and reservoir parameters on simultaneous competitive fracture propagation. It was found that an increase in stage spacing decreases the stress interference between propagating fractures and increases the number of propagating fractures in a stage. It was also found that an increase in reservoir permeability can decrease the stress interference between propagating fractures because of poro-elastic stress changes. A modest (about 25%) variability in reservoir mechanical properties along the wellbore is shown to be enough to alter the number of fractures created in a hydraulic fracturing stage and mask the effects of stress shadowing. Inter-stage fracture simulations show post-shutin fracture extension induced by stress interference from adjacent propagating fractures. The impact of poro-elasticity is highlighted for infill well fracture design and preferential fracture propagation towards depleted regions is clearly observed in multi-well pad fracture simulations.The results in this paper attempt to provide practitioners with a better understanding of multi-cluster fracturing dynamics. Based on these findings recommendations are made on how best to design fracture treatments that will not only lead to the successful placement of fluid and proppant in a single fracture, but in a set of fractures that are competing with each other for growth. The ability to successfully stimulate all perforation clusters is shown to be a function of key fracture design parameters.

show abstract

Section: Introductionmentioning

confidence: 99%

Strategies for Effective Stimulation of Multiple Perforation Clusters in Horizontal Wells

Manchanda

Bryant

Bhardwaj

et al. 2016

Day 1 Tue, February 09, 2016

View full text Add to dashboard Cite

show abstract

“…Some seminal work on FV methods for coupled mechanical problems was first developed in the context of thermoelastoplasticity [26]. Recent examples include investigations of cell-centered FV discretizations for poroelasticity [27] and poroelastoplasticity [28]. This approach allows for flexibility in the computational mesh, which can consist of arbitrary polygons or polyhedra, and even non-conforming elements.Another challenge in coupled flow and deformation is related to solving the sparse algebraic systems that arise from the discretization of the governing equations.…”

mentioning

confidence: 99%

Accuracy and convergence properties of the fixed‐stress iterative solution of two‐way coupled poromechanics

Castelletto

White

Tchelepi

2015

Num Anal Meth Geomechanics

133

View full text Add to dashboard Cite

SUMMARYThe paper deals with the numerical solution of Biot's equations of coupled consolidation obtained by a mixed formulation combining continuous Galerkin finite-element and multipoint flux approximation finite-volume methods. The solution algorithm relies on the recently developed fixed-stress solution scheme, in which first the flow problem and then the mechanical one are addressed iteratively. We show that the algorithm can be interpreted as a particular block triangular preconditioning strategy applied within a Richardson iteration. The key component to the success of the preconditioner is the sparse approximation to the Schur complement based on a pressure space mass matrix scaled by a weighting factor that depends element-wise on the inverse of a suitable bulk modulus. The accuracy of the method is assessed, making use of well-known analytical solutions from the literature. Numerical results demonstrate robustness and low computational cost of the fixed-stress scheme in accurately capturing the two-way coupling between deformation and pressure.

show abstract

“…Furthermore, a benefit of its open-source nature is that others can add extended models, e.g. viscoelastic, thermoelastic, and poroelastic solids (Tang et al, 2015;.…”

Section: Introductionmentioning

confidence: 99%

Fluid-structure interaction of a large ice sheet in waves

Huang

Ren

et al. 2019

Ocean Engineering

Self Cite

View full text Add to dashboard Cite

With global warming, the ice-covered areas in the Arctic are being transformed into open water. This provides increased impetus for extensive maritime activities and attracts research interests in sea ice modelling. In the polar region, ice sheets can be several kilometres long and subjected to the effects of ocean waves. As its thickness to length ratio is very small, the wave response of such a large ice sheet, known as its hydroelastic response, is dominated by an elastic deformation rather than rigid body motions. In the past 25 years, sea ice hydroelasticity has been widely studied by theoretical models; however, recent experiments indicate that the ideal assumptions used for these theoretical models can cause considerable inaccuracies. This work proposes a numerical approach based on OpenFOAM to simulate the hydroelastic wave-ice interaction, with the Navier-Stokes equations describing the fluid domain, the St. Venant Kirchhoff solid model governing the ice deformation and a coupling scheme to achieve the fluid-structure interaction. Following validation against experiments, the proposed model has been shown capable of capturing phenomena that have not been included in current theoretical models. In particular, the developed model shows the capability to predict overwash, which is a ubiquitous polar phenomenon reported to be a key gap. The present model has the potential to be used to study wave-ice behaviours and the coupled wave-ice effect on marine structures.

show abstract

On finite volume method implementation of poro‐elasto‐plasticity soil model

Cited by 55 publications

References 28 publications

Strategies for Effective Stimulation of Multiple Perforation Clusters in Horizontal Wells

Strategies for Effective Stimulation of Multiple Perforation Clusters in Horizontal Wells

Accuracy and convergence properties of the fixed‐stress iterative solution of two‐way coupled poromechanics

Fluid-structure interaction of a large ice sheet in waves

Contact Info

Product

Resources

About