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首頁» 過刊瀏覽» 2020» Vol.5» Issue(2) 277-289???? DOI : 10.3969/j.issn.2096-1693.2020.02.024
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不確定條件下頁巖氣開發(fā)廢水管理雙層規(guī)劃模型及應用
王建良,,張興達
中國石油大學(北京) 經濟管理學院,北京 102249
Bi-level programming model of wastewater management in shale gas development while considering uncertainties
WANG Jianliang, ZHANG Xingda
School of Economics and Management, China University of Petroleum-Beijing, Beijing 102249, China

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摘要? 頁巖氣資源的勘探開發(fā)已成為近年來能源領域關注度最高的話題之一,,并對世界天然氣工業(yè)和天然氣市 場產生了顯著影響,。進一步,作為最為清潔的化石燃料,,頁巖氣資源的開發(fā)也將在全球能源低碳化轉型中扮演 重要角色,。在此背景下,可以預期頁巖氣資源的開發(fā)規(guī)模將在未來越來越大,。然而,,需要關注的是,開發(fā)頁巖 氣資源并不是一個對環(huán)境完全無害的過程,。大量研究顯示,,頁巖氣資源的開發(fā)活動會產生一些嚴重的環(huán)境影響, 例如甲烷泄露以及大量的水資源消耗等,。在這些眾多的環(huán)境影響中,,與水相關的問題被認為是最根本且對頁巖 氣規(guī)模開發(fā)而言長期產生阻礙的一個話題。而最佳的水資源管理是應對水資源相關問題的最有效處理措施,。 本文聚焦于頁巖氣開發(fā)中產出廢水的分配與回用等水資源管理問題,。進一步,在產出廢水的分配和回用過 程中,,存在大量的不確定性因素,,且這些因素會對最終優(yōu)化結果產生顯著影響。因此,,本文首先對頁巖氣開發(fā) 廢水處理與回用流程及過程中的不確定因素進行了詳細描述與分析,;然后以經濟效益和環(huán)境效益分別作為雙層 規(guī)劃模型的上下兩層目標函數(shù),用模糊規(guī)劃來處理產出廢水的不確定性,區(qū)間規(guī)劃處理廢水運輸,、處理,、回用 中的其他不確定性,進而構建頁巖氣廢水資源管理的不確定雙層規(guī)劃模型,;在模型構建之后,,基于滿意度的交 互式算法被用于模型的求解;最后將模型應用于具體算例以論證模型的有效性,。 研究結果表明:對于每一個鉆井點而言,,都存在一個主要的產出廢水分配和回用方案,且該方案主要受到 經濟因素,、廢水處理設施的處理能力以及上下層目標函數(shù)的相對位置影響,。此外,對于各類不確定性因素的考 慮,,確實提高了優(yōu)化過程的客觀性,,且優(yōu)化結果與實際也更加相符。進一步,,在求解過程中,,對產出廢水量不 確定性的合理容忍可以提高全局滿意度,這有助于給出更好的優(yōu)化結果,。最后,,通過對比本文建立的雙層規(guī)劃 模型和傳統(tǒng)的兩個單目標模型顯示,本文的雙層規(guī)模模型可以實現(xiàn)在經濟效益和環(huán)境效益目標之間的權衡,,而 這種權衡與現(xiàn)實更加匹配,。
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關鍵詞 : 頁巖氣,;水力壓裂;廢水管理,;不確定性,;雙層規(guī)劃;模糊規(guī)劃,;區(qū)間規(guī)劃
Abstract
The exploration and exploitation of shale gas resources has been seen as a game changer in recent years which has affected the world natural gas industry and gas market significantly. Furthermore, as the relatively cleanest fossil energy, development of shale gas resources is expected to play an important role in the world’s projected transition towards a low-carbon energy future. In this case, the large-scale extraction of shale gas resources could be inevitable in future. However, extracting shale gas resources is not an entirely environmental benign issue. Numerous studies have shown that shale gas development may have some serious environmental impacts, for example, methane leakage and huge water consumption. Of these, water-related issues are a fundamental and longer lasting obstacle. Better water resource management has been seen as one of the most effective measures for dealing with water-related issues.
This paper focuses on the management of wastewater allocation and reuse in shale gas development. Uncertainties in the process of wastewater allocation and reuse could affect the final optimization results considerably, therefore, this paper first gives a detailed description and analysis of the process of wastewater treatment and reuse and related uncertain factors. Secondly, a bi-level programming model with uncertainty is established for wastewater management for shale gas development, where economic and environmental benefits are upper-level and lower-level objectives respectively, fuzzy and interval programming is used to deal with uncertainties from the amount of produced wastewater and others in transportation, treatment, and reuse of produced wastewater. After the model is established, algorithms based on satisfaction and interaction are used for solving the model. Finally, the established model is used in a case study to show its effectiveness.
The results show that one main plan of wastewater allocation and reuse always exists for each drilling point, and this plan is mainly affected by economic factors, capacity of wastewater treatment facilities as well as the relative position of the upper and lower objective functions. Besides, the consideration of those uncertainties does make the result more objective and closer to reality. In addition, tolerance of the uncertainty in the amount of produced wastewater can improve the overall degree of satisfaction, which is good for providing the optimal results. Finally, a comparison of results from the established bi-level programming model and those from two traditional single objective programming models shows that the proposed model in this paper could achieve a trade-off between economic and environmental benefits, and this trade-off is more in line with reality
Key words: shale gas; hydraulic fracturing; wastewater management; uncertainty; bi-level optimization; fuzzy programming; interval programming
收稿日期: 2020-06-30 ????
PACS: ? ?
基金資助:國家自然科學基金項目(71874201,,71503264,71673297,,71874202) 資助
通訊作者: [email protected]
引用本文: ??
WANG Jianliang, ZHANG Xingda. Bi-level programming model of wastewater management in shale gas development while considering uncertainties. Petroleum Science Bulletin, 2020, 02: 277-289.
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