地下水数值模拟模型简介.ppt
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Problems about GW Development
How Can Control GW System? Groundwater Model
To Calibrate the System To Predict the Behave To Control or Manage the System
2
q(x,
y,t)
x, y, z , t 0
x, y, z 0, t 0 x, y, z , t 0 x, y, z 1, t 0 x, y, z 2, t 0
Introduction to Groundwater Model
Groundwater Model_Math Model
Introduction to Groundwater Model
Problems about GW Development
Functions of GW
An Important Water Supply for Human An Important Environmental Factor
Groundwater Model_Math Model
变量：
自变量（输入变量、决策变量） 因变量（输出变量、状态变量）
参数
K、T、K’等 结构（几何参数）
定解条件
初始条件 边界条件：边界类型、边界值
Introduction to Groundwater Model
Solving GW Flow Equation
(h1 b)K1
h1 n
Leabharlann Baidu
q1(x, y,t)
x, y , t 0
MK2
h2 n
q2(x, y,t)
x, y , t 0
ε
ε0(
( hs
h1)
x, y 1, t 0, hs h1 smax
Introduction to Groundwater Model
Kz
h z
(hs
h)
h t
K
x
h x
2
K
y
h y
2
K
z
h z
2
h z
K
z
p
p
h(x, y, z,t) t0 h0
nh 1 0
h
Kn
n
地下水数值模拟模型简介
For Group of Groundwater Resources
By Shao Jingli Institute of Water Resources and Environment China University of Geosciences, Beijing
Introduction to Groundwater Model
Introduction to Groundwater Model
Groundwater Model_Math Model
3D Groundwater Flow Equation
S
h t
x
Kx
h x
y
K
y
h y
z
x
(
M
K2
h2 ) x
y
( M K2
h2 ) y
Kz L
(h2
h1) Q2
x、y 2, t 0
hh12((xx,,
y,t) y,t)
t0 h10 ( x, t0 h20 ( x,
y) y)
x, y 1, t 0 x, y 2, t 0
Contents
What is Groundwater Model? Problems about GW Development Groundwater Model_Math Model Solving GW Flow Equation Numerical Methods Calibration of the Model
2D, 2Layers Groundwater Flow Equation
S1
h1 t
x
(h1
b)K1
h1 x
y
(h1
b)K1
h1 y
Kz L
(h2
h1)
Q1
x, y 1, t 0
S2
h2 t
Introduction to Groundwater Model
Groundwater Model_Math Model
Mass Balance
Qinput Qoutput Q
Darcy’s Law
q K dh dl
Boundary Conditions
First Type Second Type Mixed Type
Water Shortage Ecologic problems Saline soil Sea Water Intrusion Land Subsidence Groundwater Contamination ……
Introduction to Groundwater Model
求解：即建立地下水系统状态方程，用地下水 系统的参数和输入来表示地下水系统的输出， 也称为建立地下水模拟模型。 建模目的
识别 预报 探测
Introduction to Groundwater Model
Solving GW Flow Equation
求解方法：
解析法：裘布依公式、泰斯公式（条件和局 限性） s Q w( μr2 ) 4T 4Tt
Introduction to Groundwater Model
Problems about GW Development
Groundwater System
Structure: Aquifer, Aquitard (distribution, Parameters) Input: Recharge, Discharge Output: Water table, Chemical Concentration,…
How Can Control GW System? Groundwater Model
To Calibrate the System To Predict the Behave To Control or Manage the System
2
q(x,
y,t)
x, y, z , t 0
x, y, z 0, t 0 x, y, z , t 0 x, y, z 1, t 0 x, y, z 2, t 0
Introduction to Groundwater Model
Groundwater Model_Math Model
Introduction to Groundwater Model
Problems about GW Development
Functions of GW
An Important Water Supply for Human An Important Environmental Factor
Groundwater Model_Math Model
变量：
自变量（输入变量、决策变量） 因变量（输出变量、状态变量）
参数
K、T、K’等 结构（几何参数）
定解条件
初始条件 边界条件：边界类型、边界值
Introduction to Groundwater Model
Solving GW Flow Equation
(h1 b)K1
h1 n
Leabharlann Baidu
q1(x, y,t)
x, y , t 0
MK2
h2 n
q2(x, y,t)
x, y , t 0
ε
ε0(
( hs
h1)
x, y 1, t 0, hs h1 smax
Introduction to Groundwater Model
Kz
h z
(hs
h)
h t
K
x
h x
2
K
y
h y
2
K
z
h z
2
h z
K
z
p
p
h(x, y, z,t) t0 h0
nh 1 0
h
Kn
n
地下水数值模拟模型简介
For Group of Groundwater Resources
By Shao Jingli Institute of Water Resources and Environment China University of Geosciences, Beijing
Introduction to Groundwater Model
Introduction to Groundwater Model
Groundwater Model_Math Model
3D Groundwater Flow Equation
S
h t
x
Kx
h x
y
K
y
h y
z
x
(
M
K2
h2 ) x
y
( M K2
h2 ) y
Kz L
(h2
h1) Q2
x、y 2, t 0
hh12((xx,,
y,t) y,t)
t0 h10 ( x, t0 h20 ( x,
y) y)
x, y 1, t 0 x, y 2, t 0
Contents
What is Groundwater Model? Problems about GW Development Groundwater Model_Math Model Solving GW Flow Equation Numerical Methods Calibration of the Model
2D, 2Layers Groundwater Flow Equation
S1
h1 t
x
(h1
b)K1
h1 x
y
(h1
b)K1
h1 y
Kz L
(h2
h1)
Q1
x, y 1, t 0
S2
h2 t
Introduction to Groundwater Model
Groundwater Model_Math Model
Mass Balance
Qinput Qoutput Q
Darcy’s Law
q K dh dl
Boundary Conditions
First Type Second Type Mixed Type
Water Shortage Ecologic problems Saline soil Sea Water Intrusion Land Subsidence Groundwater Contamination ……
Introduction to Groundwater Model
求解：即建立地下水系统状态方程，用地下水 系统的参数和输入来表示地下水系统的输出， 也称为建立地下水模拟模型。 建模目的
识别 预报 探测
Introduction to Groundwater Model
Solving GW Flow Equation
求解方法：
解析法：裘布依公式、泰斯公式（条件和局 限性） s Q w( μr2 ) 4T 4Tt
Introduction to Groundwater Model
Problems about GW Development
Groundwater System
Structure: Aquifer, Aquitard (distribution, Parameters) Input: Recharge, Discharge Output: Water table, Chemical Concentration,…