引文
1Aanonsen S I,Eydinov D.A multiscale method for distributed parameter estimation with application to reservoir history matching.Comput Geosci,2006,1:97-117
2Wang S G,Zhao G Z,Xu L B,et al.Optimization for automatic history matching.Int J Numer Anal Model,2005,2:131-137
3Zhu J P,Chen Y M.Multilevel grid method for history matching multidimensional multiphase reservoir models.Appl Numer Math,1992,10:159-174
4Tarantola A.Inverse Problem Theory and Methods for Model Parameter Etimation.Philadelphia:Society for Indus-trial and Applied Mathematics(SIAM),2005
5Grimstad A-A,Mannseth T,N vdal G,et al.Adaptive multiscale permeability estimation.Comput Geosci,2003,7:1-25
6Berre I,Lien M,Mannseth T.A level-set corrector to an adaptive multiscale permeability prediction.Comput Geosci,2007,1:27-42
7Lien M,Berre I,Mannseth T.Combined adaptive multiscale and level-set parameter estimation.Multiscale Model Simul,2005,4:1349-1372
8Jahn H O.A rapid method for obtaining a two-dimensional reservoir describption from well pressure response data.Soc Petrol Eng J,1966,237:315-327
9Jacquard P,Jain C.Permeability distribution from field pressure data.Soc Petrol Eng J,1965,5:281-294
10Chavent G,Dupuy M,Lemmonier C.Histroy matching by using of optimal control theory.Soc Petrol Eng J,1975,15:74-86
11Gavalas G R,Seinfeld J H.Reservoir history matching by Bayesian estimation.Soc Petrol Eng J,1976,12:337-350
12Kulkarni K N,Datta-Gupta A.Estimating relative permeability from production data:a streamline approach.Soc Petrol Eng J,2000,5:402-411
13Wang Y,Kovscek A R.Streamline approach for history matching production data.Soc Petrol Eng J,2000,5:353-362
14Agarwal B,Blunt M.A streamline-based method for assisted history matching applied to an Arabian Gulf field.Soc Petrol Eng J,2003,9:437-449
15He Z,Datta-Gupta A,Yoon S.Streamline-based production data integration with gravity and changing fields condi-tions.Soc Petrol Eng J,2002,5:423-436
16Caers J.Annual Technical Conference and Exhibition.SPE,2002,77429
17Harding T J,Radciffe N J,King P R.Optimization of productiion strategies using stochastic search methods.SPE European3-D Reservoir Modelling Conference,1996,35518
18Gonz′alez-Rodr′guez P,Kindelan M,Moscoso M,et al.History matching problem in reservoir engineering using the propagation-backpropagation method.Inverse Problems,2005,2:565-590
19He Z,Lee T Y,Seinfeld J H.Estimation of two-phase petroleum reservoir properties by regularization.J Comput Phys,1987,2:397-419
20Wasserman M L,Emanuel A S,Seinfeld J H.Pratical applications of optiaml-cpntrol theory to history-matching multiphases simulator models.Soc Petrol Eng J,1975,15:347-355
21Wu Z,Reynolds A C,Oliver D S.Conditioning geostatical models to two-phase production data.Soc Petrol Eng J,1999,4:142-155
22Lie J,Lysaker M,Tai X C.Piecewise Constant Level Set Methods and Image Segmentation.Scale Space and PDE Methods in Computer Vision:5th International Conference.2005,573-584
23Lie J,Lysaker M,Tai X C.A variant of the level set method and applications to image segmentatio.Math Comp,2006,75:1155-1174
24Tai X C,Yao C H.Image segmentation by piecewise constant Mumford-Shah model without estimating the constants.J Comput Math,2006,24:435-443
25Lie J,Lysaker M,Tai X C.A binary level set model and some applications for Mumford-Shah image segmentation.IEEE Trans Image Proc,2006,15:423-436
26Mumford D,Shah J.Optimal approximations by piecewise smooth functions and associated variational problems.Comm Pure Appl Math,1989,42:577-685
27Chan T,Vese L A.Active contours without edges.IEEE Trans Image Proc,2001,10:266-277
28Chan T F,Tai X C.Identification of discontinuous coefficients in elliptic problems using total variation regularization.SIAM J Sci Comput,2003,25:881-904
29Tai X C,Chan T F.A survey on multiple level set methods with applications for identifying piecewise constant functions.Int J Numer Anal Model,2004,1:25-47
30Sethian J A.Level set methods and fast marching methods.Cambridge Monographs on Applied and Computational Mathematics,1999
31Tsai R,Osher S.Level set methods and their applications in image science.Comm Math Sci,2003,1:623-656
32IAanonsen S,Cominelli A,Gosselin O,et al.Integrationn of4D data in the history match loop by investigating scale dependent correlations in the acustic impedence cube.In:Proceeding of the8th European Conference on Mathematics of Oil Recovery,2002
33Li H W,Tai X C.Piecewise constant level set method for multiphase motion.Int J Numer Anal Model,2007,4:291-305
34Nielsen L K,Tai X C,Aanonsen S I,et al.A binary level set model for elliptic inverse problems with discontinuouscoefficients.Int J Numer Anal Model,2007,4:74-99
35Lu T,Neittaanma¨ki P,Tai X C.A parallel splitting-up method for partial differential equations and its applications to Navier-Stokes equations.RAIRO Mod′el Math Anal Num′er,1992,26:1992
36Li R,Reynolds A C,Oliver D S.Piecewise constant level set method for multiphase motion.Int J Numer Anal Model,2007,4:291-305