柳建军, 程华, 崔秀国, 王龙, 徐波, 刘波, 张新, 张玉萍. 应用非线性隐式迭代法回归含蜡原油触变模型[J]. 油气储运, 2011, 30(1): 12-14. DOI: CNKI:13-1093/TE.20110117.2153.005
引用本文: 柳建军, 程华, 崔秀国, 王龙, 徐波, 刘波, 张新, 张玉萍. 应用非线性隐式迭代法回归含蜡原油触变模型[J]. 油气储运, 2011, 30(1): 12-14. DOI: CNKI:13-1093/TE.20110117.2153.005
Liu Jianjun, Cheng Hua, Cui Xiuguo, . Thixotropy models of waxy crude oil by using non-linear implicit iterative regression method[J]. Oil & Gas Storage and Transportation, 2011, 30(1): 12-14. DOI: CNKI:13-1093/TE.20110117.2153.005
Citation: Liu Jianjun, Cheng Hua, Cui Xiuguo, . Thixotropy models of waxy crude oil by using non-linear implicit iterative regression method[J]. Oil & Gas Storage and Transportation, 2011, 30(1): 12-14. DOI: CNKI:13-1093/TE.20110117.2153.005

应用非线性隐式迭代法回归含蜡原油触变模型

Thixotropy models of waxy crude oil by using non-linear implicit iterative regression method

  • 摘要: 针对以往含蜡原油触变模型参数回归中实验数据误差被放大和迭代初值不易选取的问题, 以非线性参数回归为框架, 引入不适定问题的求解思想, 应用求解非线性不适定问题的非线性隐式迭代法, 一次性回归Houska触变模型的相关参数。对加剂50 mg/kg的中原原油进行参数回归, 所得计算值与实验数据吻合较好, 最小相对误差为2.71%(26℃), 最大相对误差仅为5.09%(21℃)。该方法回归结果准确、稳定, 误差随温度的升高而单调减小, 可用于求解含蜡原油触变模型参数的回归问题。

     

    Abstract: For the existed problems occurred in parameter regression of thixotropy models for waxy crude oil including error enlargement of experiment data and the difficulty to choose an initial iterative point, the paper, by means of non-linear parameter regression as its frame, introduces the idea of resolving ill-posed problems, with the application of non-linear implicit iterative method which is widely used for ill-posed problem, and obtains the related parameters of Houska thixotropy model at one time. The parameter regression is employed in the case of Zhongyuan Crude with chemical agents (the concentration ratio is 50 mg/kg)added. The obtained numerical results have a good coincidence with the experiment data. The minimum relative error is 2.71%(26 ℃)while the maximum relative error is only 5.09%(21 ℃). The method is both accurate and numerically stable, and the error will be decreased as the temperature increases. So the presented method can be used for parameter regression of thixotropy models for waxy crude oil.

     

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