Forward and Adjoint Sensitivity Analysis

Sensitivity analysis requires the calculation of the sensitivity of a performance measure of model output to a model input. This repository contains two jupyter notebooks demonstrating the calculation of forward (using Green's functions) and adjoint sensitivities. Both examples are presented in

Neupauer, R.M., C. Turnadge, and J. Okkonen, Forward and adjoint modeling of sensitivities to periodic forcings in groundwater flow and transport, Mathematical Geosciences, http://dx.doi.org/10.1007/s11004-023-10074-w, 2023

Case 1 is a periodic thermal loading in a one-dimensional, homogeneous aquifer. Case 2 is stream depletion in a two-dimensional homogeneous aquifer.

敏感性分析涉及对模型输出性能度量对模型输入敏感度的计算。本仓库包含两个 Jupyter Notebook，展示了正向（使用格林函数）和伴随敏感度的计算方法。两个示例均遵循 Neupauer, R.M.，C. Turnadge 和 J. Okkonen 在《Mathematical Geosciences》期刊上发表的论文《地下水流动和传输中对周期性扰动的敏感性正向和伴随建模》，http://dx.doi.org/10.1007/s11004-023-10074-w，2023。案例 1 为一维均匀含水层中的周期性热加载；案例 2 为二维均匀含水层中的溪流耗竭。