The Study on Fractal Damage of Rock under Hydraulic Fracturing Basing on Conversation of Energy
The fractal characteristics is Considered in rock porosity structure, and rock damage variable is defined by reduced amount pore number whose radius is greater than R during arbitrary fracturing stage. Assuming that the micro-fracturing process of evolution cracks meets Logistic bifurcation standard model, according to energy conservation principle, the model of hydraulic fracturing of rock damage and infiltration of evolution is established based on the porosity fractal damage theory. And then the hydraulic fracturing rock evolution model is built. Taking one well of any oil field as the example, rock damage variable, porosity evolution during fracturing process are calculated, which shows that the results are reasonable and accurate.
W. C. Zhao et al., "The Study on Fractal Damage of Rock under Hydraulic Fracturing Basing on Conversation of Energy", Applied Mechanics and Materials, Vols. 29-32, pp. 1363-1368, 2010