Data and numerical model for testing multifrequency analysis of temperature time series in streambeds

Although usage of the inverse solution of the one-dimensional advection-diffusion equation for estimating streambed fluid fluxes, bed elevation changes, or bed thermal diffusivity have historically assumed the need for sinusoidal or at least nominally sinusoidal surface boundary temperature fluctuations, it is technically not a requirement. It has similarly been assumed that gradients in temperature in the bed would cause errors in parameter estimates. A published mathematical derivation (Luce et al., 2017) demonstrates that this is not true, but laboratory experiments and numerical modeling were done to support the illustration of the consequences of the derivation. These data are supplied here.

Reference:
Luce, C. H., Tonina, D., Applebee, R., & DeWeese, T. (2017). Was that assumption necessary? Reconsidering boundary conditions for analytical solutions to estimate streambed fluxes. Water Resources Research. doi: 10.1002/2017WR020618

尽管在历史上，使用一维对流-扩散方程的逆解来估算河床流体通量、河床高程变化或河床热扩散率时，曾假定需要正弦波或至少名义上的正弦波表面边界温度波动，但实际上这一条件并非必要。同样，人们也曾认为河床中温度梯度的存在会导致参数估计出现误差。一篇已发表的数学推导（Luce 等人，2017年）证明了这一点并不成立，为此进行了实验室实验和数值模拟以支持该推导的结论展示。此处提供的数据即为此目的。

参考文献：
Luce, C. H., Tonina, D., Applebee, R., & DeWeese, T. (2017). 该假设必要吗？重新审视用于估算河床通量的解析解的边界条件。水资源研究。doi: 10.1002/2017WR020618