Improvement of Levenberg-Marquardt algorithm during history fitting for reservoir simulation

被引:11
|
作者
Zhang Xian [1 ]
Awotunde, A. A. [2 ]
机构
[1] Abu Dhabi Marine Operating Co, POB 303, Abu Dhabi, U Arab Emirates
[2] King Fahd Univ Petr & Minerals, Dhahran 31261, Saudi Arabia
关键词
numerical reservoir simulation; history matching; Levenberg-Marquardt algorithm; differential evolution; line search; SENSITIVITY-ANALYSIS;
D O I
10.1016/S1876-3804(16)30105-7
中图分类号
TE [石油、天然气工业]; TK [能源与动力工程];
学科分类号
0807 ; 0820 ;
摘要
In order to estimate reservoir parameters more effectively by history fitting, DE (Differential Evolution) was proposed to estimate the optimum damping factor so that the standard Levenberg-Marquardt algorithm was improved, and the improved algorithm was validated by analysis of examples. The standard LM algorithm uses trial-and-error method to estimate the damping factor and is less reliable for large scale inverse problems. DE can solve this problem and eliminate the use of line search for an appropriate step length. The improved Levenberg-Marquardt algorithm was applied to match the histories of two synthetic reservoir models with different scales, and compared with other algorithms. The results show that: DE speeds up the convergence rate of the LM algorithm and reduces the residual errors, making the algorithm suitable for not only small and medium scale inverse problems, but also large scale inverse problems; if the iteration termination criteria of LM algorithm is preset, the improved algorithm will save the number of iterations and reduce the total time greatly needed for the LM algorithm, leading to higher efficiency of history matching.
引用
收藏
页码:876 / 885
页数:10
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