Lagrangian relaxation based decomposition for well scheduling in shale-gas systems

作     者：Knudsen, Brage Rugstad Grossmann, Ignacio E. Foss, Bjarne Conn, Andrew R. 

作者机构：Norwegian Univ Sci & Technol Dept Engn Cybernet N-7034 Trondheim Norway Carnegie Mellon Univ Dept Chem Engn Pittsburgh PA 15213 USA IBM Corp TJ Watson Res Ctr Yorktown Hts NY 10598 USA 

出 版 物：《COMPUTERS & CHEMICAL ENGINEERING》 (Comput. Chem. Eng.)

年 卷 期：2014年第63卷

页      面：234-249页

核心收录：

学科分类：0817[工学-化学工程与技术] 08[工学] 0812[工学-计算机科学与技术（可授工学、理学学位）] 

基　　金：Center for Integrated Operations in the Petroleum Industry, Trondheim, Norway (IO center) IBM PhD scholarship 

主　　题：Lagrangian relaxation Mixed-integer linear programming Shale-gas production Parameter estimation 

摘      要：Suppressing the effects of liquid loading is a key issue for efficient utilization of mid and late-life wells in shale-gas systems. This state of the wells can be prevented by performing short shut-ins when the gas rate falls below the minimum rate needed to avoid liquid loading. In this paper, we present a Lagrangian relaxation scheme for shut-in scheduling of distributed shale multi-well systems. The scheme optimizes shut-in times and a reference rate for each multi-well pad, such that the total produced rate tracks a given short-term gas demand for the field. By using simple, frequency-tuned well proxy models, we obtain a compact mixed-integer formulation which by Lagrangian relaxation renders a decomposable structure. A set of computational tests demonstrates the merits of the proposed scheme. This study indicates that the method is capable of solving large field-wide scheduling problems by producing good solutions in reasonable computation times. (C) 2014 Elsevier Ltd. All rights reserved.