Abstract
Numerical simulation and theoretical analysis of seawater intrusion is the mathematical basis for modern environmental science. Its mathematical model is the nonlinear coupled system of partial differential equations with initial-boundary problems. For a generic case of a three-dimensional bounded region, two kinds of finite difference fractional steps pro- cedures are put forward. Optimal order estimates in norm are derived for the error in the approximation solution. The present method has been successfully used in predicting the consequences of seawater intrusion and protection projects.
Highlights
Numerical simulation and theoretical analysis of seawater intrusion is the mathematical basis for modern environmental science
Seawater intrusion refers to the invasion of salt water into the groundwater in coastal areas caused by the changes in natural water environment and social and economic development
The mathematical model consists of water head equation and salt concentration equation
Summary
Seawater intrusion refers to the invasion of salt water into the groundwater in coastal areas caused by the changes in natural water environment and social and economic development. In recent years, it has occurred in many countries in the world such as USA, Netherlands, Israel and Japan. After 1970s, the northern coastal area of our country, especially economic zones around Bohai such as Shandong, Hebei and Liaoning, is getting more and more seriously affected by this problem with Shandong province standing out It leads to the great decrease in industrial and agricultural production, making people’s living conditions, especially their drinking water, poorer and poorer. Since salt is inhomogeniously distributed in the whole solution, it always diffuses from places with higher concentration to places with lower concentration even if the solution does not move
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