Neutrosophic Optimization Model and Computational Algorithm for Optimal Shale Gas Water Management under Uncertainty

Abstract

Shale gas energy is the most prominent and dominating source of power across the globe. The processes for the extraction of shale gas from shale rocks are very complex. In this study, a multiobjective optimization framework is presented for an overall water management system that includes the allocation of freshwater for hydraulic fracturing and optimal management of the resulting wastewater with different techniques. The generated wastewater from the shale fracking process contains highly toxic chemicals. The optimal control of a massive amount of contaminated water is quite a challenging task. Therefore, an on-site treatment plant, underground disposal facility, and treatment plant with expansion capacity were designed to overcome environmental issues. A multiobjective trade-off between socio-economic and environmental concerns was established under a set of conflicting constraints. A solution method—the neutrosophic goal programming approach—is suggested, inspired by independent, neutral/indeterminacy thoughts of the decision-maker(s). A theoretical computational study is presented to show the validity and applicability of the proposed multiobjective shale gas water management optimization model and solution procedure. The obtained results and conclusions, along with the significant contributions, are discussed in the context of shale gas supply chain planning policies over different time horizons.

Solving multi-level multiobjective fractional programming problem with rough interval parameter in neutrosophic environment

“…. Definition 3: [8] Suppose a universal discourse Y such that y ∈ Y , then a neutrosophic set A in Y can be depicted by truth µ A (y), indeterminacy λ A (y) and a falsity ν A (y) membership functions in the following form:…”

“…Definition 5: [8] The complement of a single valued neutrosophic set A is represented as c(A) and defined by µ c(A) (y) = ν A (y), λ c(A) (y) = 1 − ν A (y) and ν c(A) (y) = µ A (y) respectively.…”

Neutrosophic Portfolios of Financial Assets. Minimizing the Risk of Neutrosophic Portfolios

“…Regarding the studies in the area of neutrosophic theory, it can be underline the fact that the neutrosophic theory and its derivates has been extensively applied in the last two decades various economic and social fields such as-decision making [2][3][4][5][6][7][8][9][10][11][12][13], supply chain management [14], best product selection [15], management [16] forecasting [17], sentiment analysis [18,19] and so forth.…”

Multi-Scale Insights on the Threshold Pressure Gradient in Low-Permeability Porous Media

“…Shale gas reservoirs have received increasing attention due to the depletion of conventional oil and gas resources [1]. According to the roadmap on natural gas development in China, the total production of natural gas will reach 4.5 -5 × 10 12 m 3 in 2020 and the proportion of unconventional gas will then exceed 30% of the total gas production [2].…”