以空時扭變高斯方程式模擬流動注入分析法之波形研究

Abstract

本論文以「空時扭變」概念為基礎，推導出一條適用於流動注入分析法 (FIA) 的波形表示式，並以實驗佐證之。原理上，將傳統高斯數學式與「樣水體積」、「沿散作用」、「時移」等因子相結合，經過一個扭變的數學過程，導出空時扭變高斯表示式 (Temporally Convoluted Gaussian Function，簡稱TCG)；再代入實驗反算的參數來模擬波形，並與原記錄波形相比較。結果顯示，兩者無論在波形、波峰位置、波高、波面積上都相當的吻合，驗證本文提供的表示式能有效地模擬流動注入分析法的波形。

A function based on the concept of “Spatial-Temporal Convolution” was derived to simulate peak shape of flow injection analysis (FIA). A standard Gaussian function was served as a platform, which combined with the “longitudinal dispersion effect”, “sample size effect”, and “temporal shift factor” in the standard deviation term, so that a longitudinal pattern was then generated. It was further convoluted along the time axis to create a “Temporally Convoluted Gaussian” peak. Good agreements between the experiment results and the theoretical predictions were found over a variety of experimental conditions (Length, flow rate…etc). The results show that the function proposed in this study can be used successfully for simulation of FIA peak shapes.