ESTIMATION OF THE SPECIFIED TIME SCALE FOR MASS TRANSPORT IN A TIDAL ESTUARY

感潮河口質量傳輸之特定時間尺度估計

楊方泊源(Fang-Po-Yuan Yang) ； 黃良雄(Liang-Hsiung Huang) ； 林孟郁(Meng-Yu Lin) ； 張正緯(Cheng-Wei Chang)

《中國土木水利工程學刊》 30卷1期 (2018/03) Pp. 51-59

https://doi.org/10.6652/JoCICHE.201803_30(1).0005

摘要

The purpose of this paper is to estimate the specified time scale of mass transport in a tidal estuary, which could be used to simplify the difficulties in modeling mass transport in a tidal estuary. A mathematical model comprising a 1-D co-oscillating tide flow-field formulation and a 1-D advection-dispersion equation was designed. The co-oscillating tide model was solved using linear Airy wave theory. The advection-dispersion equation was solved by applying an image method and using a finite Fourier transform with a weak derivative assumption, followed by numerical evaluation using the Runge-Kutta method. An approximate time-scale relationship was then obtained by applying the dimensional technique to the governing equations. Finally, using the numerical verifications of the semi-analytical solutions, the rationality of the time-scale relationship was confirmed. The implications of these results are discussed.

關鍵字

specified time scale ； advection-dispersion equation ； tidal estuaries ； semi-analytical method

並列摘要

本文章之目的為尋求適用於感潮河口質量傳輸之特定時間尺度，其可簡化感潮河口質量傳輸問題的困難度。文中以一維的共振潮汐流場和一維的移流－延散方程式構成研究模型。其中，一維的共振潮汐流場採用線性波理論求解；一維的移流－延散方程式則利用映像法配合有限傅立葉變換，引入弱微分之假設，並使用龍格－庫塔法求得半解析解。爾後，藉由因次分析的技巧找尋近似的時間尺度關係，並以前述半解析解驗證其合理性，以及探討其意義。

並列關鍵字

特定時間尺度 ； 移流－延散方程式 ； 感潮河口 ； 半解析方法

參考文獻

Taylor, G.(1954).The dispersion of matter in turbulent flow through a pipe.Proceedings of the Royal Society of London, Series A, Mathematical and Physical Sciences.223(1155),446-468.

Fischer, H. B.,List, J. E.,Koh, C. R.,Imberger, J.,Brooks, N. H.(1979).Mixing in Inland and Coastal Waters.Academic Press.

Okubo, A.(1973).Effect of shoreline irregularities on streamwise dispersion in estuaries and other embayments.Netherlands Journal of Sea Research.6(1-2),213-224.

Bowden, K. F.,Gilligan, R. M.(1971).Characteristic features of estuarine circulation as represented in the Mersey estuary.Limnology and Oceanography.16(3),490-502.

Hsieh, P. C.,Shih, W. P.,Huang, L. H.(2002).Transient deformation of a poroelastic channel bed.International Journal for Numerical and Analytical Methods in Geomechanics.26(13),1279-1298.