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A METHODOLOGY FOR COMPUTING THE UNCERTAINTY OF CURVE FITTING PARAMETERS INTERPOLATING EXPERIMENTAL DATA

机译:用于计算插值实验数据的曲线拟合参数不确定性的方法

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A general procedure to determine the experimental uncertainty of parameters obtained directly from equations curve fitting experimental data is presented. The procedure, valid for any curve fitting equation, is used for estimating the uncertainties of permeability and inertia coefficient characterizing the hydraulic behavior of mechanically compressed aluminum porous matrices. These parameters, to be obtained experimentally since predictive models do not exist, are frequently determined by extrapolation of the experimental pressure drop versus fluid speed data to asymptotic regimes. In this case the results are rigorously valid only at the asymptotes and their uncertainties are independent of the curve fitting uncertainty. We propose here a new methodology for determining the permeability and inertia coefficient of porous media based on the curve fitting of the experimental results without using extrapolation. This methodology is found to yield more consistent and accurate results than existing methods because the parameters are valid now throughout the entire experimental range. The corresponding uncertainties, calculated following a prescribed scheme, are no longer local but global because they are affected by the uncertainties of each and every experimental data point via the curve fitting equation.
机译:提出了一种确定直接从等式曲线拟合实验数据获得的参数实验性不确定性的一般程序。适用于任何曲线拟合方程的程序用于估计渗透性和惯性系数的不确定性,其特征在于机械压缩铝多孔基质的液压行为。从实验获得的这些参数以来,由于预测模型不存在,通常通过将实验压降与流体速度数据的外推到渐近制度来确定。在这种情况下,结果仅在渐变处严格有效,并且它们的不确定性与曲线拟合不确定性无关。我们在此提出了一种新的方法,用于基于实验结果的曲线拟合而不使用外推的基于实验结果的曲线来确定多孔介质的渗透性和惯性系数。发现该方法产生比现有方法产生更一致和准确的结果,因为参数现在在整个实验范围内有效。在规定方案之后计算的相应的不确定性不再是局部的,而是全球性,因为它们受到通过曲线拟合方程的每个实验数据点的不确定性的影响。

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