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Empirical approach for bearing capacity prediction of geogrid-reinforced sand over vertically encased stone columns floating in soft clay using support vector regression

机译:用支持向量回归在软粘土中漂浮在垂直封装石柱上垂直封闭石柱砂砂轴承能力预测的实证方法

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摘要

Due to the complex, elaborate and expensive estimation of bearing capacity (q(rs)) of geogrid-reinforced sand bed resting over a group of vertically encased stone columns floating in soft clay, it is required to develop a precise empirical model, which is supposed to be nonlinear. To date, there is no established bearing capacity equation available on this topic. The aim of this work is to develop a precise q(rs) prediction model using support vector regression (SVR) technique. A total of 245 experimental datasets were collected and used to train and test the SVM models estimating the q(rs). Three SVR models were developed based on three different kernel functions, namely exponential radial basis kernel function (ERBF), radial basis kernel function (RBF) and polynomial kernel function (POLY), and their performances were examined. Out of the three SVR models, one with ERBF was found to be the best one, having the lowest statistical error and maximum generalization ability of the training and testing data. The performance of SVR-ERBF model was compared with adaptive neuro-fuzzy inference system (ANFIS) model, and it was observed that SVR-ERBF model outperforms ANFIS model to predict q(rs). A sensitivity analysis was also conducted to identify the relative importance and contribution of each input variable on output (q(rs)) prediction. Finally, using the SVR-ERBF model, an empirical equation is proposed to predict q(rs) for practical application purposes. Obtained results approve that the SVR-ERBF model can be used as a powerful and reliable alternative to solve highly nonlinear problems such as indirect estimation of q(rs).
机译:由于地理润滑砂床的轴承容量(Q(RS))的复杂,精细且昂贵的估计,搁置在软粘土中的一组垂直封闭的石柱上,需要开发一个精确的经验模型,即应该是非线性的。迄今为止,在本主题上没有建立的承载力方程。这项工作的目的是使用支持向量回归(SVR)技术来开发精确的Q(RS)预测模型。共收集共245个实验数据集并用于培训和测试估计Q(RS)的SVM模型。三种SVR模型是基于三个不同的内核功能,即指数径向基础内核功能(ERBF),径向基核函数(RBF)和多项式内核功能(Poly),以及它们的性能。在三个SVR模型中,发现一个带有ERBF的一个是最好的一个,具有最低的统计误差和训练数据的最大泛化能力。将SVR-ERBF模型的性能与自适应神经模糊推理系统(ANFIS)模型进行了比较,观察到SVR-ERBF模型优于ANFI模型以预测Q(RS)。还进行了灵敏度分析,以确定输出上每个输入变量的相对重要性和贡献(Q(RS))预测。最后,使用SVR-ERBF模型,提出了一种经验方程来预测Q(RS)以获得实际应用目的。获得的结果批准了SVR-ERBF模型可以用作强大且可靠的替代方案来解决高度非线性问题,例如Q(RS)的间接估计。

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