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不確定條件下頁(yè)巖氣開(kāi)發(fā)廢水管理雙層規(guī)劃模型及應(yīng)用
王建良,,張興達(dá)
中國(guó)石油大學(xué)(北京) 經(jīng)濟(jì)管理學(xué)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(yè)巖氣資源的勘探開(kāi)發(fā)已成為近年來(lái)能源領(lǐng)域關(guān)注度最高的話題之一,,并對(duì)世界天然氣工業(yè)和天然氣市 場(chǎng)產(chǎn)生了顯著影響,。進(jìn)一步,作為最為清潔的化石燃料,,頁(yè)巖氣資源的開(kāi)發(fā)也將在全球能源低碳化轉(zhuǎn)型中扮演 重要角色,。在此背景下,可以預(yù)期頁(yè)巖氣資源的開(kāi)發(fā)規(guī)模將在未來(lái)越來(lái)越大,。然而,,需要關(guān)注的是,開(kāi)發(fā)頁(yè)巖 氣資源并不是一個(gè)對(duì)環(huán)境完全無(wú)害的過(guò)程,。大量研究顯示,,頁(yè)巖氣資源的開(kāi)發(fā)活動(dòng)會(huì)產(chǎn)生一些嚴(yán)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(guān)的問(wèn)題被認(rèn)為是最根本且對(duì)頁(yè)巖 氣規(guī)模開(kāi)發(fā)而言長(zhǎng)期產(chǎn)生阻礙的一個(gè)話題,。而最佳的水資源管理是應(yīng)對(duì)水資源相關(guān)問(wèn)題的最有效處理措施。 本文聚焦于頁(yè)巖氣開(kāi)發(fā)中產(chǎn)出廢水的分配與回用等水資源管理問(wèn)題,。進(jìn)一步,,在產(chǎn)出廢水的分配和回用過(guò) 程中,存在大量的不確定性因素,,且這些因素會(huì)對(duì)最終優(yōu)化結(jié)果產(chǎn)生顯著影響,。因此,本文首先對(duì)頁(yè)巖氣開(kāi)發(fā) 廢水處理與回用流程及過(guò)程中的不確定因素進(jìn)行了詳細(xì)描述與分析,;然后以經(jīng)濟(jì)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(biāo)函數(shù),用模糊規(guī)劃來(lái)處理產(chǎn)出廢水的不確定性,,區(qū)間規(guī)劃處理廢水運(yùn)輸,、處理、回用 中的其他不確定性,,進(jìn)而構(gòu)建頁(yè)巖氣廢水資源管理的不確定雙層規(guī)劃模型,;在模型構(gòu)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(yīng)用于具體算例以論證模型的有效性,。 研究結(jié)果表明:對(duì)于每一個(gè)鉆井點(diǎn)而言,都存在一個(gè)主要的產(chǎn)出廢水分配和回用方案,,且該方案主要受到 經(jīng)濟(jì)因素,、廢水處理設(shè)施的處理能力以及上下層目標(biāo)函數(shù)的相對(duì)位置影響。此外,,對(duì)于各類不確定性因素的考 慮,,確實(shí)提高了優(yōu)化過(guò)程的客觀性,且優(yōu)化結(jié)果與實(shí)際也更加相符,。進(jìn)一步,,在求解過(guò)程中,對(duì)產(chǎn)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(jié)果,。最后,通過(guò)對(duì)比本文建立的雙層規(guī)劃 模型和傳統(tǒng)的兩個(gè)單目標(biāo)模型顯示,,本文的雙層規(guī)模模型可以實(shí)現(xiàn)在經(jīng)濟(jì)效益和環(huán)境效益目標(biāo)之間的權(quán)衡,,而 這種權(quán)衡與現(xiàn)實(shí)更加匹配。
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關(guān)鍵詞 : 頁(yè)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(guó)家自然科學(xué)基金項(xiàng)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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