Title
Heterogeneous reservoir characterization using efficient parameterization through higher order SVD (HOSVD)
Abstract
Parameter estimation through reduced-order modeling play a pivotal role in designing real-time optimization schemes for the Oil and Gas upstream sector through the closed-loop reservoir management framework. Reservoir models are in general complex, nonlinear, and large-scale, i.e., large number of states and unknown parameters. Consequently, model reduction techniques are of great interest in reducing the computational burden in reservoir modeling and simulation. Furthermore, de-correlating system parameters in all history matching and reservoir characterization problems is an important task due to its effects on reducing ill-posedness of the system. In this paper, we utilize the higher order singular value decomposition (HOSVD) to reparameterize reservoir characteristics, e.g. permeability, and perform several forward reservoir simulations by the resulted reduced order map as an input. To acquire statistical consistency we repeat all experiments for a set of 1000 samples using both HOSVD and Proper orthogonal decomposition (POD). In addition, we provide RMSE analysis for a better understanding in process of comparing HOSVD and POD. Results show that HOSVD provide a better performance in a RMSE point of view.
Year
DOI
Venue
2014
10.1109/ACC.2014.6859246
American Control Conference
Keywords
Field
DocType
closed loop systems,gas industry,hydrocarbon reservoirs,optimisation,parameter estimation,petroleum industry,singular value decomposition,statistical analysis,HOSVD,POD,RMSE analysis,closed-loop reservoir management framework,decorrelating system parameters,forward reservoir simulations,gas upstream sector,heterogeneous reservoir characterization,higher order SVD,higher order singular value decomposition,history matching,ill-posedness reduction,model reduction techniques,oil upstream sector,parameter estimation,parameterization,proper orthogonal decomposition,real-time optimization schemes,reduced order map,reduced-order modeling,reparameterize reservoir characteristics,reservoir characterization problems,reservoir modeling,statistical consistency,Estimation,Large scale systems,Reduced order modeling
Singular value decomposition,Mathematical optimization,Nonlinear system,Parametrization,Computer science,Work in process,Control theory,Mean squared error,Control engineering,Estimation theory,Higher-order singular value decomposition,Reservoir modeling
Conference
ISSN
Citations 
PageRank 
0743-1619
1
0.38
References 
Authors
8
3
Name
Order
Citations
PageRank
Sardar Afra151.55
Eduardo Gildin2304.48
Mohammadali Tarrahi310.38