This
paper presents a mathematical programing formulation for synthesizing
water networks associated with shale gas hydraulic fracturing operations
while accounting for the system uncertainty. The proposed formulation
yields strategic planning that minimizes the cost considering water
requirements as well as equipment capacities for treatment technologies,
storage units, and disposals. The key uncertainties pertain to the
water usage for fracturing and the time-based return of flowback water.
The objective function is aimed at the minimization of the total annual
cost, which accounts for the operating and capital costs associated
with the water network. The developed model addresses the scheduling
problem associated with shale gas production, which provides as output
the completion phases for all the projected wells. This information
is used in estimating the periods with water requirements and where
flowback water can be collected. The proposed methodology includes
an analysis of the optimal equipment size. An illustrative example
is presented to show the capabilities of the proposed methodology.
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