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  • 1
    Electronic Resource
    Electronic Resource
    Flow through anisotropic networks (1990)
    Springer
    Stochastic environmental research and risk assessment 4 (1990), S. 175-191 
    Details
    ISSN: 1436-3259
    Keywords: Flow through porous media ; random network ; macro-permeability ; micro-geometry ; statistical mechanics ; anisotropy
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract This paper presents an analysis of Hagen-Poiseulle flow through plane random anisotropic networks of interconnected channels. Macroscopic permeability tensor of the network is expressed in terms of statistico-geometrical characteristics like the degree of anisotropy in channel orientations, average co-ordination number of the network and first two moments of channel length distribution. Analytical results are illustrated and verified using numerical analysis of flow in a simulated random network. The emphasis of the paper is on the effects of anisotropy on distributions of flow rates in channels. It is shown that, due to anisotropy the maximum flow rate generally occurs in channels that are not aligned along the direction of the macroscopic pressure gradient.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01543082
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    Statistical aspects of flow in a random network of channels (1987)
    Springer
    Stochastic environmental research and risk assessment 1 (1987), S. 217-240 
    Details
    ISSN: 1436-3259
    Keywords: Transport of fluid ; random network ; macro-permeability ; micro-geometry ; statistical mechanics
    Source: Springer Online Journal Archives 1860-2000
    Topics: Architecture, Civil Engineering, Surveying , Energy, Environment Protection, Nuclear Power Engineering , Geography , Geosciences
    Notes: Abstract This paper presents a detailed statistical analysis of Hagen-Poiseuille flow in plane random isotropic networks of interconnected channels. The emphasis is on statistico-geometrical features of networks that affect macroscopic permeability. It is shown that permeability of a network depends on its average co-ordination number, the first two moments of the channel length distribution and other explicitly identifiable geometrical features. Distributions of flow rates in channels and average flow rates are established by minimization of the rate of energy dissipation. Theoretical developments are interpreted in the context of classical statistical mechanics. Analytical results are illustrated and verified using numerical analysis of flow in a simulated random network.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01543893
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    Growth of Pressure-Induced Fractures in the Vicinity of a Wellbore (2000)
    Springer
    International journal of fracture 104 (2000), S. 23-30 
    Details
    ISSN: 1573-2673
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: Abstract Growth of pressure-induced fractures originating from a wellbore at an arbitrary angle to the direction of far field stresses is considered. A parametric study of hydraulic fracturing process from the point of view of fracture mechanics is presented in conditions of slow and fast pressurization rate. The study is based on the linear elastic fracture mechanics formulation that involves a complex hypersingular equation (CHSIE) for a plane with a circular opening and a system of arbitrary curvilinear cracks. Stepwise method is used to model fracture propagation. Dimensionless parameters influencing the fracture path are defined.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1007637020233
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    Paper (German National Licenses)
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  • 4
    Electronic Resource
    Electronic Resource
    Influence of subsurface fractures on surface deformation of an elastic half-space (1994)
    New York, NY [u.a.] : Wiley-Blackwell
    International Journal for Numerical and Analytical Methods in Geomechanics 18 (1994), S. 287-303 
    Details
    ISSN: 0363-9061
    Keywords: Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Architecture, Civil Engineering, Surveying , Geosciences
    Notes: The paper presents a solution for calculation of the surface uplift field of a semi-infinite elastic solid embedded with a pressurized elliptical crack oriented at any angle, and at any depth. The results presented are those for a uniform pressure loading on the crack face, simulating a static pressurized hydraulic fracture, but the mathematical technique developed can be extended directly to non-uniform normal loads or general shear loads in the form of a polynomial up to the third order. The result of a special case of the new solution, where the crack is penny shaped and parallel to the free surface, is compared with results from Sun's solution and from experiments which were designed and performed by the authors. The experiments involved pressurization of a penny-shaped crack in a polyurethane material which is linear elastic under low stresses, and measurement of surface deformation by holographic interferometry and Fizeau interferometry. The correspondence between theory and experiment is excellent.
    Additional Material: 8 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/nag.1610180502
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    Paper (German National Licenses)
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