(371ag) Economic Model-Based Controller Design Framework to Optimize Shale Gas Production and Water Management in Hydraulic Fracturing
Motivated by this consideration, we developed a novel economic model-based control framework for hydraulic fracturing to maximize the net profit from shale gas development by simultaneously minimizing the cost associated with water management. Initially, a reduced-order model and a Kalman filter are developed based on the high-fidelity simulation data to correlate the pumping schedule and the final fracture geometry. Second, a data-based dynamic input-output model is developed to obtain the flowrate and TDS concentration of wastewater from fractured wells. Third, a numerical reservoir simulator and mixed-integer nonlinear programming model are applied to generate two maps describing the revenue from selling shale gas produced and cost from managing wastewater recovered, respectively. Fourth, with the two maps and including the cost from purchasing freshwater, an economic model predictive control system is formulated. The proposed control framework is applied to an actual field case study to demonstrate its superior performance over other conventional techniques.
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