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Hydraulic Characteristics of Fracture with Fractal Surface

Author: WuJinHua
Tutor: LiuYingZuo；LiShouJu
School: Dalian University of Technology
Course: Computational Mechanics
Keywords: Rock fractures Fractal Seepage Hydraulic conductivity
CLC: O357.3
Type: Master's thesis
Year: 2010
Downloads: 130
Quote: 0
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Abstract


Natural rock fracture surface is uneven , difficult to describe generally a function of the complexity of the fracture surface morphology . In order to simulate the fractured seepage characteristics require accurate characterization of rough rock fracture and bending . Describe the precision of the fracture geometry , a great influence to improve the calculation accuracy . The development of the theory of fractal geometry for the study of rock fracture surface roughness provides a new approach and scientific means , so as to study the hydraulic characteristics of the actual fissure has opened up a new field . Numerous studies show that the study of rock fracture surface has good statistical self-similar or self-affine characteristics , can be with fractal interpolation method . Fractal Theory simulated rock fracture surface roughness morphology , binary fractal interpolation function programming get fissures data points on rough surfaces , the use of these data points to generate a numerical model of multiple fracture surfaces . In these models , along with the increase of the fracture surface roughness , its fractal dimension also increases . Calculated by computer numerical calculation and image display different fractal dimension under the equivalent hydraulic conductivity of the fracture surfaces . Establish a relationship between the rough surface fractal dimension and its equivalent hydraulic conductivity , its seepage characteristics of the surface roughness of rock fractures , flow in fractal fracture flow characteristics and laws . Numerical simulation analysis results show that , the stronger the larger the fractal dimension of the fracture surface , fissures roughness , and the correlation between changes . Under the same pressure difference applied on fissure at both ends , the equivalent hydraulic conductivity of the fracture surfaces will be reduced with the increase of the fractal dimension . Fractured ends in the fracture surface fractal dimension is constant under the conditions of , successively subjected to gradually increasing pressure difference , the average velocity of the fluid through the cross section increases with both ends of a pressure difference increases , and the equivalent of cracks the hydraulic conductivity is reduced as the pressure differential increase .

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CLC: > Mathematical sciences and chemical > Mechanics > Fluid Mechanics > Viscous fluid > Seepage
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