中国石油大学学报(自然科学版)
中國石油大學學報(自然科學版)
중국석유대학학보(자연과학판)
JOURNAL OF CHINA UNIVERSITY OF PETROLEUM(EDITION OF NATURAL SCIENCE)
2014年
5期
109-115
,共7页
张凯%路然然%周文胜%姚军%潘彩霞%沙雁红
張凱%路然然%週文勝%姚軍%潘綵霞%沙雁紅
장개%로연연%주문성%요군%반채하%사안홍
油藏%自动历史拟合%贝叶斯理论%奇异值降维分解%无梯度算法
油藏%自動歷史擬閤%貝葉斯理論%奇異值降維分解%無梯度算法
유장%자동역사의합%패협사이론%기이치강유분해%무제도산법
reservoir%automatic history matching%Bayesian theory%singular value decomposition%gradient-free method
通过历史拟合以降低油藏地质参数的不确定性,提出一种稳定高效的无梯度多参数最优化调参技术,根据贝叶斯统计理论建立历史拟合最小化数学模型,并利用奇异值分解算法进行降维分解,然后采用基于方向导数的无梯度算法对该最优化问题进行求解。该方法同时实现了渗透率、孔隙度、相对渗透率、原油黏度及水体参数的拟合,进一步降低了反问题的不确定性。与人工历史拟合结果相比,基于降维方法的自动历史拟合结果表现出高度的一致性,节省了大量的人力与机时,证明了该方法的有效性与正确性。
通過歷史擬閤以降低油藏地質參數的不確定性,提齣一種穩定高效的無梯度多參數最優化調參技術,根據貝葉斯統計理論建立歷史擬閤最小化數學模型,併利用奇異值分解算法進行降維分解,然後採用基于方嚮導數的無梯度算法對該最優化問題進行求解。該方法同時實現瞭滲透率、孔隙度、相對滲透率、原油黏度及水體參數的擬閤,進一步降低瞭反問題的不確定性。與人工歷史擬閤結果相比,基于降維方法的自動歷史擬閤結果錶現齣高度的一緻性,節省瞭大量的人力與機時,證明瞭該方法的有效性與正確性。
통과역사의합이강저유장지질삼수적불학정성,제출일충은정고효적무제도다삼수최우화조삼기술,근거패협사통계이론건립역사의합최소화수학모형,병이용기이치분해산법진행강유분해,연후채용기우방향도수적무제도산법대해최우화문제진행구해。해방법동시실현료삼투솔、공극도、상대삼투솔、원유점도급수체삼수적의합,진일보강저료반문제적불학정성。여인공역사의합결과상비,기우강유방법적자동역사의합결과표현출고도적일치성,절성료대량적인력여궤시,증명료해방법적유효성여정학성。
The uncertainties of the reservoir geological parameters can be reduced by history matching. A stable and efficient multi-parameter optimal adjustment technology was proposed in this work. This technology involved setting up a mathematical minimization model of history matching based on Bayesian statistical theory and reducing the dimension of parameters by sin-gular value decomposition method. And the optimization problem was finally solved by using gradient-free method based on directional derivative. By using this method, permeability, porosity, relative permeability curve, viscosity of crude oil and the oil-water interface parameters can be matched at the same time to further reduce the uncertainties of the inverse problem. Compared with manual history matching, automatic history matching results based on dimension reduction method show a high degree of consistency which proves the effectiveness and the correctness of this method. Automatic history matching process is also proved to be capable of saving a lot of human and machine labor.