不等概率抽样在区带油气资源预测中的应用Application of varying probabilistic sampling in hydrocarbon resources prediction
解国军,杨丽娜
XIE Guo-jun1,YANG Li-na2(1.Exploration & Production Research Institute
摘要(Abstract):
利用油气区带已发现油气藏储量和发现顺序的信息,探讨了应用不放回不等概率抽样理论对区带油气资源量进行预测的方法。在假设区带油藏总体服从帕莱托分布的基础上,利用对区带总体资源量以及油气藏样本储量和的期望的近似估计,该文解决了当发现某一油藏的概率不完全与它的储量成正比时无法利用Horvitz-Thompson估计量直接估算区带油气资源总量的问题。通过对该预测方法检验,从统计推断的角度来看预测结果与实际情况符合得很好。
A hydrocarbon resources prediction method discussed herein using the data of discovered reserves of pools and their discovery sequences,applied the theory of varying probabilistic sampling with no replacement.The Horvitz-Thompson estimator cannot be used straightly to obtain the play petroleum potential if the probability of finding a pool is not strictly proportional to its magnitude.To solve the problem,the approximate estimations of the total amount of play resource and the expectation of sample sum are utilized with the assumption that the pool population obeys Pareto law.The method are checked up and the predicted results accords well to the real situation from the point of view of the statistical inference.
关键词(KeyWords):
资源评价;发现过程;抽样;Horvitz-Thompson估计量;油气区带
resource assessment;discovery process;sampling;HorvitzThompson estimator;petroleum play
基金项目(Foundation):
作者(Author):
解国军,杨丽娜
XIE Guo-jun1,YANG Li-na2(1.Exploration & Production Research Institute
参考文献(References):
- [1]Arps J J,Roberts TG.Economics of drilling for Cretaceous oil on eastflank of Denver-Julesburg Basin[J].AAPG Bulletin,1958,42(11):2549-2566.
- [2]Hubbert MKing.Degree of advancement of petroleum exploration in U-nited States[J].AAPG Bulletin,1967,51(11):2207-2227.
- [3]Nair VN,Wang P C C.Maximumlikelihood estimation under a succes-sive sampling discovery model[J].Technometrics,1989,31(4):423-436.
- [4]Lee P J,Wang P C C.Prediction of oil or gas pools sizes when discov-ery record is available[J].Mathematical Geology,1985,17(2):95-113.
- [5]Bickel P J,Nair VN,Wang P C C.Nonparametric inference under bi-ased sampling from a finite population[J].The Annals of Statistics,1992,20(2):853-878.
- [6]Stone L D.Bayesian estimateion of undiscovered pool sizes using thediscovery record[J].Mathematics Geology,1990,22(3):309-332.
- [7]Kaufman G M.Finite population sampling methods for oil and gas re-source estimation[C]//Rice D D.Oil and Gas Assessment—Meth-ods and Applications.AAPG Studies in Geology#21,1986:43-53.
- [8]Chen Z H,Sinding-Larsen R.Estimating petroleum resources usingGeo-Anchored method—a sensitivity study[J].Natural ResourcesResearch,1999,8(1):49-58.
- [9]Rosen B.Asymptotic Theory for successive sampling with varying proba-bilities without replacement[J].The Annals Mathematical Statistics,1972,43(2):373-397.
- [10]Ivanhoe L F.Oil/gas potential in basins estimated[J].Oil and GasJournal,1976,74(49):154-155.
- [11]Houghton John C.Use of Truncated Shifted Pareto distribution in as-sessing size distribution of oil and gas fields[J].Mathematical Geol-ogy,1988,20(8):907-937.
- [12]Drew L J,Attanasi E D,Schuenemeyer J H.Observed oil and gas fieldsize distributions:a consequence of discovery process and prices of oiland gas[J].Mathematical Geology,1988,20(8):939-953.
- [13]Mandelbrot Benoit B.The statistical of natural resources and the law ofPareto[C]//Barton C C,Paul R La Pointe.Fractals in PetroleumGeology and Earth Processes.New York:Plenum Press,1995:1-12.
- [14]Berger Y G.Rate of convergence for asymptotic variance of the Hor-vitz-Thompsomestimator[J].Journal of Statistical Planning and In-ference,1998,74(1):149-168.
- [15]Lee P J,Wang P C C.Evaluation of petroleum resources from poolsize distributions[C]//Rice D D.Oil and Gas Assessment-Meth-ods and Applications.AAPG Studies in Geology#21,1986:33-42.
- 资源评价
- 发现过程
- 抽样
- Horvitz-Thompson估计量
- 油气区带
resource assessment - discovery process
- sampling
- HorvitzThompson estimator
- petroleum play