Abstract A collection of rainfall data and flood records for ephemeral channels in the Kingdom of Saudi Arabia (KSA) provided a unique opportunity to analyze the extreme records in such arid environment. Data of 3121 records were collected. A regional flood envelope relationships and other envelope curves in similar arid areas were compared with the current study. We found that the envelope of the maximum-recorded peak discharge versus basin area follows The exponent falls in the range of the exponents in other arid basins. The enveloping curve for the volume versus basin area is The parameters of the equation are significantly different from that of the arid Negev desert, Israel. Derived peak flow–volume relationship has the form We found such relation is similar to arid/semi-arid southwestern United States but with slightly higher exponent and constant. When the peak discharge and maximum volume are plotted against their accompanied rainfall depth, p, linear envelope in log- log plot are developed for KSA region: and The equations predict the upper limit of the expected peak discharges and volumes that can be used for hydro-engineering applications in ungauged basins in the study region and regions a like. The developed envelope curves can also be used as an alternative or guide to performing rainfall-runoff modeling in KSA. The volume-area envelope equations have high degree of credibility since, 92% of the published data used for validation falls within the upper and lower envelope limits. These envelope curves have to be updated when more records are available.

中文翻译：

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沙特阿拉伯干旱环境最大洪水记录分析

摘要 沙特阿拉伯王国 (KSA) 临时渠道的降雨数据和洪水记录的收集为分析这种干旱环境中的极端记录提供了独特的机会。收集了 3121 条记录的数据。将区域洪水包络关系和类似干旱地区的其他包络曲线与当前研究进行了比较。我们发现最大记录峰值流量与盆地面积的包络线遵循 指数落在其他干旱盆地的指数范围内。体积与盆地面积的包络曲线是 方程的参数与以色列干旱的内盖夫沙漠的参数明显不同。导出的峰值流量-体积关系具有以下形式我们发现这种关系类似于美国西南部的干旱/半干旱地区，但指数和常数略高。当峰值流量和最大流量与其伴随的降雨深度 p 绘制时，为 KSA 区域开发了对数图中的线性包络： 和 方程预测了可用于水力发电的预期峰值流量和流量的上限- 研究区及类似地区未测量盆地的工程应用。开发的包络线也可用作在 KSA 中执行降雨径流建模的替代或指南。体积-面积包络方程具有很高的可信度，因为用于验证的已发表数据中有 92% 落在包络上下限内。