Elastic properties of porous media in the vicinity of the percolation limit

Neto, Luiz Bortolan; Kotousov, Andrei; Bedrikovetsky, Pavel

doi:10.1016/j.petrol.2011.06.026

Cited by 17 publications

(12 citation statements)

References 20 publications

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“…Under such conditions the porosity of the medium is close to the percolation limit, which allows an application of simplified analytical techniques. It was demonstrated that the approach developed by Bortolan Neto et al (2011a;2011b) can adequately describe the combined behaviour of non-consolidated particles near the percolation limit and provides a good agreement with experimental results.…”

Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 64%

“…One possible approach to evaluate the elastic properties of low consolidated media was recently presented by Bortolan Neto et al (2011a;2011b) and it will be employed here to complete the mathematical formulation of the problem. In this approach the particles are assumed to be of spherical shape, having a small contact area and the deformation of the particles follows the classical Hertz contact theory (Hertz 1896;Johnson 1982;Johnson 1985).…”

Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 99%

“…If ‫ܧ‬ ௦ is the Young's modulus and ߥ ௦ is the Poisson's ratio of the particles, the relationship between the bulk modulus of elasticity of the pack of particles (either saturated or not) and the elastic properties of the single particle is given by (Bortolan Neto et al 2011b):…”

Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 99%

“…The relationship for the volumetric strain (dilatation), ߝ ௩ , as a function of porosity, ߶, being (Bortolan Neto et al 2011b)…”

Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 99%

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On the residual opening of hydraulic fractures

Neto

Kotousov

2013

Int J Fract

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Hydraulic stimulation technologies are currently widely applied across resource and power generation industries to increase productivity of oil/gas or hot water reservoirs. These technologies utilise a pressurised fluid, which is applied inside the well to initiate and drive fractures as well as to open a network of natural fractures. To prevent the opened fractures from complete closure during production stage, small particles (proppants) are normally injected with the pressurised fluid. These particles are subjected to confining stresses when the fluid pressure is removed, which lead to a partial closure of the opened fractures.The residual fracture openings are the main outcome of such hydraulic stimulations as these openings significantly affect the permeability of the reservoirs and, subsequently, well productivity. Past research was largely focused on the assessment of conditions and characteristics of fluid driven fractures as well as proppant placement techniques. Surprisingly, not much work was devoted to the assessment of the residual fracture profiles. In this work we develop a simplified non-linear model of residual closure of a crack filled with deformable particles under remote compressive stresses. It is demonstrated that the closure profile is significantly influenced by the distribution and compressibility of the particles, which are often ignored in the existing analytical or semi-analytical models.

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Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 64%

Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 99%

Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 99%

“…The relationship for the volumetric strain (dilatation), ߝ ௩ , as a function of porosity, ߶, being (Bortolan Neto et al 2011b)…”

Section: Mechanical Behaviour Of a Pack Of Compressible Particlesmentioning

confidence: 99%

See 2 more Smart Citations

On the residual opening of hydraulic fractures

Neto

Kotousov

2013

Int J Fract

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“…The choice of the Terzaghi's model is justified by its simplicity and wide use; however the developed method can easily accommodate other models of mechanical behaviour of proppant, such as models of low consolidated media available in the literature (e.g. [24,25]). …”

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confidence: 99%