Extension of Methodology for the Determination of Two-phase Porous Media Property Functions

Valestrand, Randi; Grimstad, Alv-Arne; Kolltveit, K.; Nordtvedt, Jan-Erik; Phan, Jack; Watson, A. T.

doi:10.1080/1068276031000135935

Cited by 2 publications

(1 citation statement)

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“…The use of such models is currently the common practice among field engineers, different models yield different results and there is no objective criterion to choose among them. Another approach consists on discretizing the differential equations and using least squares on the discrete problem [9], [15].…”

Section: Introductionmentioning

confidence: 99%

A predictor-corrector algorithm to estimate the fractional flow in oil-water models

Savioli

Berdaguer

2008

J. Phys.: Conf. Ser.

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Abstract. We introduce a predictor-corrector algorithm to estimate parameters in a nonlinear hyperbolic problem. It can be used to estimate the oil-fractional flow function from the BuckleyLeverett equation. The forward model is non-linear: the sought-for parameter is a function of the solution of the equation. Traditionally, the estimation of functions requires the selection of a fitting parametric model. The algorithm that we develop does not require a predetermined parameter model. Therefore, the estimation problem is carried out over a set of parameters which are functions. The algorithm is based on the linearization of the parameter-to-output mapping. This technique is new in the field of nonlinear estimation. It has the advantage of laying aside parametric models. The algorithm is iterative and is of predictor-corrector type. We present theoretical results on the inverse problem. We use synthetic data to test the new algorithm.

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Section: Introductionmentioning

confidence: 99%