A computationally efficient approach to modeling contact problems and fracture closure using superposition method

Wang, Hanyi; Yi, ShiTing; Sharma, Mukul M.

doi:10.1016/j.tafmec.2017.09.009

Cited by 21 publications

(5 citation statements)

References 51 publications

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“…The constellation is sketched in Figure 1, which shows the entire model region in grey and the crack in blue. The crack is assumed to have the shape of an ellipse, a concept that can be found in many studies on the mechanics of fracture propagation and closure [26,27], but that has been adopted in the hydro-sciences [23,27]. The main axis of the ellipse forms an angle α with the flow direction.…”

Section: Crack-matrix Set-upmentioning

confidence: 99%

Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack

Holzbecher

2021

Fluids

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Fluid flow and transport processes in fractured porous media are of particular interest for geologists and in the material sciences. Here a systematic investigation is presented, dealing with a generic geometric set-up of a porous matrix with a crack. In such a combined porous medium/free fluid system flow patterns have been examined frequently, while the resulting transport patterns have attracted less attention. Using numerical modeling with finite elements the problem is approached using a dimensionless formulation. With a reduced number of dimensionless parameter combinations (Darcy-, Peclet- and Reynolds-numbers) solution dependencies are examined in parametric sweeps. Breakthrough curves are fitted in comparison to those of 1D model approaches, yielding effective diffusivities and velocities. The computations reveal highest sensitivity concerning the angle between crack axis and flow direction, followed by the Peclet number and the crack axes ratio. As a dimensionless representation is used the results are scale independent. Thus, they deliver estimations concerning effective heat and solute transport parameters that can be relevant in all application fields.

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Section: Crack-matrix Set-upmentioning

confidence: 99%

Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack

Holzbecher

2021

Fluids

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“…The fracture stiffness can be obtained from fracture closure modeling (Wang and Sharma 2017a;Wang et al 2018) using:…”

Section: Fig A1 Illustration Of One-dimensional Leak-offmentioning

confidence: 99%

“…For open fractures at relative high pressure, can be determined analytically using Table-1. For more general circumstances, can be calculated numerically as the fracture closes progressively (Wang and Sharma 2017a;Wang et al 2018), and the numerical solution gives the same results as using the formulae in Table-1 Adjust the index so that , , then for :…”

Section: Fig A1 Illustration Of One-dimensional Leak-offmentioning

confidence: 99%

“…7) Obtain in-situ fluid PTV properties and rock mechanical properties. 8) Generate a fracture stiffness vs. pressure curve through numerical modeling (Wang and Sharma 2017;Wang et al 2018), and calculate the fracture-wellbore system stiffness using Eq. (A11) 9) History match DFIT data using Eq.…”

Section: Figa2 Comparison Of the Time Convolution Solution Against Amentioning

confidence: 99%

“…For a typical DFIT with a small fluid injection volume, the fracture is mostly liked to be PKN (if fracture height growth is bounded by barrier layers because of a stress contrast) or radial (thick formation layer). The detailed modeling of fracture closure and the difference in fracture height recession, length recession and radius recession are thoroughly discussed in our previous work (Wang and Sharma 2017a;Wang et al 2018).…”

Section: Fig18 Pressure Decline Response For Different Initial Reserv...mentioning

confidence: 99%

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Estimating Unpropped-Fracture Conductivity and Fracture Compliance From Diagnostic Fracture-Injection Tests

Wang

Sharma

2018

SPE Journal

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A new method is proposed to estimate the compliance and conductivity of induced unpropped fractures as a function of the effective stress acting on the fracture from DFIT data. A hydraulic fracture's resistance to displacement and closure is described by its compliance (or stiffness). Fracture compliance is closely related to the elastic, failure and hydraulic properties of the rock. Quantifying fracture compliance and fracture conductivity under in-situ conditions is crucial in many earth science and engineering applications but very difficult to achieve. Even though laboratory experiments are often used to measure fracture compliance and conductivity, the measurement results are strongly influenced by how the fracture is created, the specific rock sample obtained and the degree to which it is preserved. As such the results may not be representative of field scale fractures Over the past two decades, Diagnostic Fracture Injection Tests (DFIT) has evolved into a commonly used and reliable technique to obtain in-situ stresses, fluid leak-off parameters and formation permeability. The pressure decline response across the entire duration of a DFIT test reflects the process of fracture closure and reservoir flow capacity. As such it is possible to use this data to quantify changes in fracture conductivity as a function of stress. In this paper we present a single, coherent mathematical framework to accomplish this. We show how each factor impacts the pressure decline response and the effects of previous overlooked coupled mechanisms are examined and discussed. Synthetic and field case studies are presented to illustrate the method. Most importantly, a new specialized plot (normalized system stiffness plot) is proposed, which not only provides clear evidence of the existence of a residual fracture width as a fracture is closing during a DFIT, but also allows us to estimate fracture compliance (or stiffness) evolution and infer un-propped fracture conductivity using only DFIT pressure and time data based on a time-convolution solution. It is recommended that the normalized system stiffness plot be used as a standard practice to complement the G-function or square root of time plot because it provides very valuable information on the properties of fracture surface roughness at a field-scale, information that cannot be obtained by any other means.

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Determine In-Situ Stress and Characterize Complex Fractures in Naturally Fractured Reservoirs from Diagnostic Fracture Injection Tests

Wang

Sharma

2019

Rock Mech Rock Eng

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A computationally efficient approach to modeling contact problems and fracture closure using superposition method

Cited by 21 publications

References 51 publications

Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack

Breakthrough Investigation of Advective and Diffusive Transport in a Porous Matrix with a Crack

Estimating Unpropped-Fracture Conductivity and Fracture Compliance From Diagnostic Fracture-Injection Tests

Determine In-Situ Stress and Characterize Complex Fractures in Naturally Fractured Reservoirs from Diagnostic Fracture Injection Tests

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