Propagation of a Plane Strain Hydraulic Fracture With a Fluid Lag in Permeable Rock

Chen, B.; Barron, Andrew R.; Owen, D. R. J.; Li, Chenfeng

doi:10.1115/1.4040331

Cited by 18 publications

(10 citation statements)

References 28 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In some cases such as a straight fracture in 2D space or a planar fracture in 3D space, the fracture width could be computed directly according to some analytical solutions derived from the elasticity theory [50,116,177]. These equations are commonly used in such classic hydraulic fracturing models as PKN, KGD, radial model, P3D and PL3D.…”

Section: Rock Deformationmentioning

confidence: 99%

See 1 more Smart Citation

A Review of Hydraulic Fracturing Simulation

Chen

Dias

Sun

et al. 2021

Arch Computat Methods Eng

122

View full text Add to dashboard Cite

Along with horizontal drilling techniques, multi-stage hydraulic fracturing has improved shale gas production significantly in past decades. In order to understand the mechanism of hydraulic fracturing and improve treatment designs, it is critical to conduct modelling to predict stimulated fractures. In this paper, related physical processes in hydraulic fracturing are firstly discussed and their effects on hydraulic fracturing processes are analysed. Then historical and state of the art numerical models for hydraulic fracturing are reviewed, to highlight the pros and cons of different numerical methods. Next, commercially available software for hydraulic fracturing design are discussed and key features are summarised. Finally, we draw conclusions from the previous discussions in relation to physics, method and applications and provide recommendations for further research.

show abstract

Section: Rock Deformationmentioning

confidence: 99%

“…Remeshing and solution interpolation between mesh configurations are avoided in the fixed mesh scheme, but the fracture front needs to be explicitly tracked with a separate method. The numerical accuracy is (50)…”

Section: • Continuity Equationmentioning

confidence: 99%

A Review of Hydraulic Fracturing Simulation

Chen

Dias

Sun

et al. 2021

Arch Computat Methods Eng

122

View full text Add to dashboard Cite

show abstract

“…For a single thermal fracture in the half‐plane, the stress intensity factor (Chen, Barron, et al., 2018; Lecampion & Detournay, 2007) is computed by

{K}_{\mathrm{I}}=2\sqrt{\frac{l}{\pi }}{\int }_{0}^{l}\frac{{\sigma }_{{\Delta}T}-{\sigma }_{ec}}{\sqrt{{l}^{2}-{x}^{2}}}dx

…”

Section: Problem Formulation and Governing Equationsmentioning

confidence: 99%

“…These early solutions were limited in terms of relevant theories and computational approaches. More rigorous theories (e.g., linear elastic fracture mechanics [LEFMs] and Green's function‐based elastic relationships) and approaches (e.g., the displacement discontinuity method [DDM]) applied to the theoretical study of hydraulic fracturing in the past two decades (Adachi & Detournay, 2002, 2008; Bunger et al., 2005; Chen, Barron, et al., 2018; Lu et al., 2020) have not been employed to theoretically study subsurface thermal fracturing.…”

Section: Introductionmentioning

confidence: 99%

Scaling Behavior of Thermally Driven Fractures in Deep Low‐Permeability Formations: A Plane Strain Model With 1‐D Heat Conduction

Chen

Zhou

2022

JGR Solid Earth

View full text Add to dashboard Cite

Injection of cold fluids through/into deep formations may cause significant cooling, thermal stress, and possible thermal fracturing. In this study, the thermal fracturing of low‐permeability formations under one‐dimensional heat conduction was investigated using a plane strain model. Dimensionless governing equations, with dimensionless fracture length scriptL $\mathcal{L}$, aperture normalΩ ${\Omega}$, spacing scriptD $\mathcal{D}$, time τ $\tau $, and effective confining stress scriptT $\mathcal{T}$, were derived. Solution of single thermal fracture was derived analytically, while solution of multiple fractures with constant (or dynamic) spacing were obtained using the displacement discontinuity method (and stability analysis). For single fracture, scriptL(τ,T) $\mathcal{L}(\tau ,\mathcal{T})$ increases nonlinearly with τ $\sqrt{\tau }$ and then transitions to scaling law scriptL=f(scriptT)τ $\mathcal{L}=f(\mathcal{T})\sqrt{\tau }$, indicating that late‐time fracture length increases linearly with the square root of cooling time. For constantly spaced fractures, scriptL(τ,T,D) $\mathcal{L}(\tau ,\mathcal{T},\mathcal{D})$ deviates from the single‐fracture solution at a later τ $\tau $ for a larger scriptD $\mathcal{D}$, showing slower propagation under inter‐fracture stress interaction. For dynamically spaced fractures, fracture arrest induced by stress interaction was determined by the stability analysis; the fully transient solution provides evolution of dimensionless fracture length, spacing, aperture, and pattern; a similar scaling law, scriptL=f′(scriptT)τ $\mathcal{L}={f}^{\prime }(\mathcal{T})\sqrt{\tau }$ with f′(T)

show abstract

“…Since the first hydraulic fracturing operation conducted in 1947 on a gas well in the Hugoton field (USA) (Hubbert and Willis, 1957;Carter et al, 2000;Adachi et al, 2007), the application has been growing continuously and is now widely used by the petroleum industry for reservoir stimulation, thereby enhancing the production of oil or natural gas (Detournay, 2016;Obeysekara, 2018;Chen et al, 2020). As shown in Figure 1, hydraulic fracturing is a coupled process involving rock deformation, fluid flow, and the dynamic fracture propagation (Vandamme and Curran, 1989;Rahman and Rahman, 2010;Mokryakov, 2011;Lavrov, 2017;Chen et al, 2018aChen et al, ,b, 2021. During the injection stage the fracture area grows, but if the pumping stops it may close, loosing the newly created flow paths (Barati and Liang, 2014).…”

Section: Introductionmentioning

confidence: 99%