(734e) Model Predictive Control Designs to Achieve Uniform Growth of Simultaneously Propagating Multiple Fractures in Hydraulic Fracturing
In this regard, several hydraulic fracture simulators have been developed to describe the stress shadow effects in simultaneously propagating multiple fractures . Typically, these high-fidelity hydraulic fracture simulators require several days, and sometimes over one week, to compute the growth of simultaneously propagating multiple fractures at real reservoir length and time scales. Hence, optimization of hydraulic fracturing to find the operating condition for uniform growth of hydraulic fractures, which may often require hundreds or thousands of simulation runs, were not practically viable; in these directions, very limited efforts have been made by selecting a few important parameters via sensitivity analysis [4, 5].
Motivated by our previous efforts on single fracture propagation [6, 7, 8], in this work, we focus on the development of a new model order-reduction technique for simultaneously propagating multiple fractures by integrating the analytical models to calculate the pressure drop due to perforation friction and wellbore friction and a data-based ROM to describe the pressure drop along the fractures due to stress shadow effects and fracture interaction. Then, we propose a model-based pumping schedule design technique by utilizing the ROM and the uniform limited entry design technique to compute the flow rate of fracturing fluids which will promote equal distribution of fracturing fluids to achieve uniform growth of multiple fractures while mitigating the undesired stress shadow effects. Simulation results are presented to compare the proposed technique with state-of-the-art techniques in the field.
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