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The purpose of hydraulic fracturing is to stimulate the well so as to significantly improve its performance. To achieve this, a fracture is created, which is then propped open with a propping agent. The success of this process depends largely on the fracture conductivity, which is the product of the fracture width and the apparent permeability of the proppant within the fracture. After hydraulic fracturing, well productivity is definitely affected by the interaction between the proppants and the fracture surface. ...