The study aimed to adapt selected formulas for the estimation of the maximum depth of local scour in the area of the bridge pillar model: Begam formula, Laursen and Toch equation and the equation included in the Regulation of the Polish Minister of Transport and Marine Economy of 30 May 2000 on technical requirements for road engineering structures and location of these structures. The results of own laboratory tests were used for the adaptation. A total of 19 series of measurements with different durations, water flow rates and water depths were performed. The tests were carried out on a model of a washable flume model with a sandy bed, with a single cylindrical bridge pier. The formulas were optimized using the Monte Carlo sampling method. The best match among the original formulas was obtained for Laursen and Toch’s formula (mean relative error 15.3%). For Begam’s formula, an average relative error of 21.6% was received, and for calculations using the Regulation equation, a relative error of 30.1% was obtained. Optimization of formulas using the Monte Carlo sampling method resulted in a formula that describes laboratory data with a mean relative error of 8.8% based on the Begam equation, a mean relative error of 13.8% based on the Laursen–Toch equation, and 28.5% for the formula based on equation included in the Regulation.

中文翻译：

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实验室条件下桥墩区域局部冲刷最大深度选定公式的调整

该研究旨在采用选定的公式来估计桥柱模型区域中局部冲刷的最大深度：Begam 公式、Laursen 和 Toch 公式以及波兰交通和海洋经济部法规中包含的公式2000 年 5 月 30 日关于道路工程结构和这些结构位置的技术要求。自己实验室测试的结果用于适应。总共进行了 19 个系列的测量，这些测量具有不同的持续时间、水流量和水深。测试是在一个带有沙床和一个圆柱形桥墩的可洗水槽模型上进行的。使用蒙特卡罗采样方法优化公式。Laursen 和 Toch 公式获得了原始公式中的最佳匹配（平均相对误差为 15.3%）。对于 Begam 公式，接收到的平均相对误差为 21.6%，而对于使用调节方程的计算，获得的相对误差为 30.1%。使用 Monte Carlo 抽样方法优化公式得到的公式描述实验室数据，基于 Begam 方程的平均相对误差为 8.8%，基于 Laursen-Toch 方程的平均相对误差为 13.8%，以及 28.5%基于法规中包含的公式的公式。