An enhanced pseudo-3D model for hydraulic fracturing accounting for viscous height growth, non-local elasticity, and lateral toughness

Dontsov, Egor; Peirce, Anthony

doi:10.1016/j.engfracmech.2015.05.043

Cited by 92 publications

(48 citation statements)

References 25 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…These include and energy approach based on near-tip nonlocal elasticity (Dontsov and Peirce, 2015a;Sarvaramini and Garagash, 2015). Moreover, the PKN and P3D models have been recently extended to include both the non-local elastic interactions between the cells and the near-tip displacement formulation Peirce, 2015a, 2016).…”

Section: Engineering Modelsmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

350

172

View full text Add to dashboard Cite

Section: Engineering Modelsmentioning

confidence: 99%

Numerical methods for hydraulic fracture propagation: A review of recent trends

Lecampion

Bunger

Zhang

2018

Journal of Natural Gas Science and Engineering

350

172

View full text Add to dashboard Cite

“…In addition, the PKN model is sufficiently capable of providing a test bed for modelling proppant transport and fracture deflation -its utility here. These two principal limitations of the model can be overcome by introducing a non-local elasticity equation (Adachi & Peirce 2008;Dontsov & Peirce 2015b, 2016.…”

Section: Background and Assumptionsmentioning

confidence: 99%

Propagation, proppant transport and the evolution of transport properties of hydraulic fractures

2018

View full text Add to dashboard Cite

Hydraulic fracturing is a widely used method for well stimulation to enhance hydrocarbon recovery. Permeability, or fluid conductivity, of the hydraulic fracture is a key parameter to determine the fluid production rate, and is principally conditioned by fracture geometry and the distribution of the encased proppant. A numerical model is developed to describe proppant transport within a propagating blade-shaped fracture towards defining the fracture conductivity and reservoir production after fracture closure. Fracture propagation is formulated based on the PKN-formalism coupled with advective transport of an equivalent slurry representing a proppant-laden fluid. Empirical constitutive relations are incorporated to define rheology of the slurry, proppant transport with bulk slurry flow, proppant gravitational settling, and finally the transition from Poiseuille (fracture) flow to Darcy (proppant pack) flow. At the maximum extent of the fluid-driven fracture, as driving pressure is released, a fracture closure model is employed to follow the evolution of fracture conductivity with the decreasing fluid pressure. This model is capable of accommodating the mechanical response of the proppant pack, fracture closure of potentially contacting rough surfaces, proppant embedment into fracture walls, and most importantly flexural displacement of the unsupported spans of the fracture. Results show that reduced fluid viscosity increases the length of the resulting fracture, while rapid leak-off decreases it, with both characteristics minimizing fracture width over converse conditions. Proppant density and size do not significantly influence fracture propagation. Proppant settling ensues throughout fracture advance, and is accelerated by a lower viscosity fluid or greater proppant density or size, resulting in accumulation of a proppant bed at the fracture base. ‘Screen-out’ of proppant at the fracture tip can occur where the fracture aperture is only several times the diameter of the individual proppant particles. After fracture closure, proppant packs comprising larger particles exhibit higher conductivity. More importantly, high-conductivity flow channels are necessarily formed around proppant banks due to the flexural displacement of the fracture walls, which offer preferential flow pathways and significantly influence the distribution of fluid transport. Higher compacting stresses are observed around the edge of proppant banks, resulting in greater depths of proppant embedment into the fracture walls and/or an increased potential for proppant crushing.

show abstract

“…In a complex formulation with account for variety of relevant phenomena, the model of proppant transport in a fracture is based on 2D width-averaged lubrication approach within the two-continua two-speed formulation for suspension flow [33] with closure relations for particle settling velocity, suspension rheology, sub-models for tip screenout [11,14], effects of shear stress on frac tip growth [5] and effects of cohesion on fracture tip propagation [6], to name a few. Global geomechanics framework for fracture growth propagation is now ranging from enhanced P3D (e.g., [7]) to Pla-nar3D (also including the poroelastic effects, e.g. [8]) and full 3D for the main hydraulically induced fracture, with a number of emerging approaches to modelling the fracture network in shales.…”

Section: Introductionmentioning

confidence: 99%

Dynamic bridging of proppant particles in a hydraulic fracture

Гарагаш

Осипцов

Боронин

2019

International Journal of Engineering Science

View full text Add to dashboard Cite

This work is focused on the development of a dynamic criterion for the arching and bridging of spherical particles in a 3D suspension flow through a channel with plane walls. Elasticity of the particles and the channel walls are taken into account. The carrier fluid is viscous and incompressible. Bridging occurs under the balance of the hydrodynamic force exerted from the fluid on the particles and the friction force exerted from the walls on the particles. The 3D motion of particles in fluid is analyzed by means of direct numerical simulation. The bridging criterion is formulated as a domain on the plane in terms of the two nondimensional parameters: the particle size to channel width ratio and the flow velocity. For each scaled particle diameter there is a range of critical velocities, in which bridging occurs. Various geometrical configurations are considered: three and four particles across the slot. Stability of the bridge is studied. The dynamic bridging criterion is different from the earlier purely kinematic criteria, which were formulated in terms of the particle-to-channel width ratio only. The bridging criterion is implemented into the 2D width-averaged lubrication model of suspension flow through a plane channel, and illustrative simulations are conducted. Application is for proppant transport in hydraulic fractures.

show abstract

An enhanced pseudo-3D model for hydraulic fracturing accounting for viscous height growth, non-local elasticity, and lateral toughness

Cited by 92 publications

References 25 publications

Numerical methods for hydraulic fracture propagation: A review of recent trends

Numerical methods for hydraulic fracture propagation: A review of recent trends

Propagation, proppant transport and the evolution of transport properties of hydraulic fractures

Dynamic bridging of proppant particles in a hydraulic fracture

Contact Info

Product

Resources

About