# 艾克納方程

## 方程式

### 基礎方程式

${\displaystyle {\frac {\partial \eta }{\partial t}}=-{\frac {1}{\varepsilon _{o}}}\nabla \cdot \mathbf {q_{s}} }$

${\displaystyle {\frac {\partial \eta }{\partial t}}=-{\frac {1}{\varepsilon _{o}}}{\frac {\partial \mathbf {q_{s}} }{\partial x}}}$

### 包括高度因外力變化的方程式

${\displaystyle {\frac {\partial \eta }{\partial t}}=-{\frac {1}{\varepsilon _{o}}}\nabla \cdot \mathbf {q_{s}} +\sigma }$

## 參考資料

1. ^ C. Paola, V. R. Voller. A generalized Exner equation for sediment mass balance. Journal of Geophysical Research: Earth Surface. 2005-12-01, 110 (F4): n/a–n/a [2018-04-02]. ISSN 2156-2202. doi:10.1029/2004jf000274 （英语）.
2. ^ M Hanif Chaudhry. Open-Channel Flow. Springer Science & Business Media. 16 November 2007: 463–. ISBN 978-0-387-68648-6.
3. ^ Parker, G. (2006), 1D Sediment Transport Morphodynamics with applications to Rivers and Turbidity Currents, Chapter 1, http://vtchl.uiuc.edu/people/parkerg/_private/e-bookPowerPoint/RTe-bookCh1IntroMorphodynamics.ppt页面存档备份，存于互联网档案馆）.
4. ^ Parker, G. (2006), 1D Sediment Transport Morphodynamics with applications to Rivers and Turbidity Currents, Chapter 4, http://vtchl.uiuc.edu/people/parkerg/_private/e-bookPowerPoint/RTe-bookCh4ConservationBedSed.ppt页面存档备份，存于互联网档案馆）.
5. ^ C. Paola and V. R. Voller. A generalized Exner equation for sediment mass balance (PDF). [2015-07-12]. （原始内容 (PDF)存档于2015-07-13）.