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| A volumetric opening model of hydraulic fracturing#br# |
| WANG Li1,MENG Bingbing1,CAO Yunxing2,LIU Xiao3#br# |
| (1. School of Civil Engineering,Henan Polytechnic University,Jiaozuo,Henan 454003,China;2. School of Resources and Environment,Henan Polytechnic University,Jiaozuo,Henan 454003,China;3. School of Energy Science and Engineering,Henan Polytechnic University,Jiaozuo,Henan 454003,China) |
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Abstract The hydraulic fracturing volumetric opening,which is defined as the volumetric opening in a per unit bulk volume of rocks,including pore volumetric opening and fracture volumetric opening,is an important reference in assessment of hydraulic fracturing effects. In order to establish a volumetric opening model combining the pore volumetric opening and fracture volumetric opening,in this study,a three staged evolving process model is proposed. Based on which,and using the theory of poroelasticity and a cohesive damage evolution model,a three staged expression of hydraulic volumetric openings is established. By matching the evolving law of fracture volumetric opening with the evolving law of the hydraulic fracture aperture,the fracture propagation regimes are incorporated into the hydraulic volumetric models. The main contribution of this volumetric opening model is bridging the gap between the two classic theories,poroelasticity and hydraulic fracturing propagation,by incorporating the parallel-plates-fracture into the hydraulic opening networks of micro cracks and pores. As examples,assessment of hydraulic fracturing volumetric openings in four limiting propagation regimes,are performed.
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