Model:TopoFlow-Infiltration-Richards 1D: Difference between revisions
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{{Input - Output description | {{Input - Output description | ||
|Describe input parameters=The input variables used for modeling infiltration and unsaturated vertical flow with the 1D Richard's equation are defined as follows: | |||
Ks = saturated hydraulic conductivity (m / s) | |||
Ki = initial hydraulic conductivity (m / s) (typically much less than Ks) | |||
θs = soil water content at ψ = 0 (unitless) (often set to the soil porosity, φ) | |||
θi = initial soil water content (unitless) | |||
θr = residual soil water content (unitless) (must be < θi) | |||
ψB = bubbling pressure head (meters) (also called air-entry pressure, ψae) | |||
ψA = pressure head offset parameter (meters) | |||
λ = pore-size distribution parameter (unitless) (alt. notation = 1/b ) | |||
η = 2 + (3 * λ) (unitless) (see Notes) | |||
c = transitional Brooks-Corey curvature parameter (unitless) (see Notes) | |||
dznodes = vertical distance between nodes (meters) | |||
nnodes = number of subsurface vertical nodes | |||
The behavior of this component is controlled with a configuration (CFG) file, which may point to other files that contain input data. Here is a sample configuration (CFG) file for this component: | |||
Method code: 4 | |||
Method name: Richards_1D | |||
Number of layers: 3 | |||
Time step: Scalar 60.0 (sec) | |||
Ks: Scalar 7.20000010915e-06 (m/s) | |||
Ki: Scalar 9.84968936528e-08 (m/s) | |||
qs: Scalar 0.485 (none) | |||
qi: Scalar 0.375807627781 (none) | |||
qr: Scalar 0.0815254493977 (none) | |||
pB: Scalar -0.785999984741 (m) | |||
pA: Scalar 0.0 (m) | |||
lambda: Scalar 0.188679238493 (none) | |||
c: Scalar 1.0 (none) | |||
dz: Scalar 0.03 (m) | |||
nz: Scalar 20 (none) | |||
Closest soil_type: silt_loam | |||
Ks: Scalar 6.94999995176e-06 (m/s) | |||
Ki: Scalar 3.29297097399e-08 (m/s) | |||
qs: Scalar 0.451 (none) | |||
qi: Scalar 0.328764135306 (none) | |||
qr: Scalar 0.071217406467 (none) | |||
pB: Scalar -0.477999992371 (m) | |||
pA: Scalar 0.0 (m) | |||
lambda: Scalar 0.185528761553 (none) | |||
c: Scalar 1.0 (none) | |||
dz: Scalar 0.03 (m) | |||
nz: Scalar 20 (none) | |||
Closest soil_type: loam | |||
Ks: Scalar 2.45000002906e-06 (m/s) | |||
Ki: Scalar 3.11491927151e-08 (m/s) | |||
qs: Scalar 0.476 (none) | |||
qi: Scalar 0.412771789613 (none) | |||
qr: Scalar 0.15295787535 (none) | |||
pB: Scalar -0.63 (m) | |||
pA: Scalar 0.0 (m) | |||
lambda: Scalar 0.117370885713 (none) | |||
c: Scalar 1.0 (none) | |||
dz: Scalar 0.03 (m) | |||
nz: Scalar 20 (none) | |||
Closest soil_type: clay_loam | |||
Save grid timestep: Scalar 60.00000000 (sec) | |||
Save v0 grids: 0 Case5_2D-v0.rts (m/s) | |||
Save q0 grids: 0 Case5_2D-q0.rts (none) | |||
Save I grids: 0 Case5_2D-I.rts (m) | |||
Save Zw grids: 0 Case5_2D-Zw.rts (m) | |||
Save pixels timestep: Scalar 60.00000000 (sec) | |||
Save v0 pixels: 0 Case5_0D-v0.txt (m/s) | |||
Save q0 pixels: 0 Case5_0D-q0.txt (none) | |||
Save I pixels: 0 Case5_0D-I.txt (m) | |||
Save Zw pixels: 0 Case5_0D-Zw.txt (m) | |||
Save stack timestep: Scalar 60.00000000 (sec) | |||
Save q stacks: 0 Case5_3D-q.rt3 (none) | |||
Save p stacks: 0 Case5_3D-p.rt3 (m) | |||
Save K stacks: 0 Case5_3D-K.rt3 (m/s) | |||
Save v stacks: 0 Case5_3D-v.rt3 (m/s) | |||
Save profile timestep: Scalar 60.00000000 (sec) | |||
Save q profiles: 0 Case5_1D-q.txt (none) | |||
Save p profiles: 0 Case5_1D_p.txt (m) | |||
Save K profiles: 0 Case5_1D_K.txt (m/s) | |||
Save v profiles: 0 Case5_1D_v.txt (m/s) | |||
|Input format=ASCII, Binary | |Input format=ASCII, Binary | ||
|Output format=ASCII, Binary | |Output format=ASCII, Binary | ||
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}} | }} | ||
{{Process description model | {{Process description model | ||
|Describe processes represented by the model=The Richards 1D method for modeling infiltration. | |||
|Describe key physical parameters and equations=Equations Used by the 1D Richards' Equation Method | |||
v = K * (1 - ψz) = Darcy's Law for vertical flow rate (m / s) | |||
vz = J - θt = conservation of mass, with source/sink term J | |||
Θe = (θ - θr) / (θs - θr) = effective saturation or scaled water content (unitless) | |||
θr = θs ( |ψB| / 10000)λ = residual water content (unitless) | |||
K = Ks * Θeη/λ = hydraulic conductivity (m / s) (see Notes below) | |||
ψ = ψB (Θe-c/λ - 1)1/c - ψA = pressure head (meters) (see Notes below) | |||
These equations are used to compute the time evolution of 1D (vertical, subsurface) profiles for (1) soil moisture, θ, (2) pressure head, ψ, (3) hydraulic conductivity, K and (4) vertical flow rate, v. TopoFlow solves these equations separately to get time-evolving profiles for every grid cell in a DEM. The result is a 3D grid for each of these four variables that spans the unsaturated zone. The third equation above just defines a variable that is used in the 4th and 5th equations, so the coupled set constitutes 4 equations to be solved for 4 unknowns. These equations can be combined into one nonlinear, parabolic, second-order PDE (partial differential equation) known as the one-dimensional Richards' equation. | |||
|Describe length scale and resolution constraints=Recommended grid cell size is around 100 meters, but can be parameterized to run with a wide range of grid cell sizes. DEM grid dimensions are typically less than 1000 columns by 1000 rows. | |Describe length scale and resolution constraints=Recommended grid cell size is around 100 meters, but can be parameterized to run with a wide range of grid cell sizes. DEM grid dimensions are typically less than 1000 columns by 1000 rows. | ||
|Describe time scale and resolution constraints=The basic stability condition is: dt < (dx / u_min), where dt is the timestep, dx is the grid cell size and u_min is the smallest velocity in the grid. This ensures that flow cannot cross a grid cell in less than one time step. Typical timesteps are on the order of seconds to minutes. Model can be run for a full year or longer, if necessary. | |Describe time scale and resolution constraints=The basic stability condition is: dt < (dx / u_min), where dt is the timestep, dx is the grid cell size and u_min is the smallest velocity in the grid. This ensures that flow cannot cross a grid cell in less than one time step. Typical timesteps are on the order of seconds to minutes. Model can be run for a full year or longer, if necessary. |
Revision as of 14:13, 17 February 2010
Contact
Name | Scott Peckham |
Type of contact | Model developer |
Institute / Organization | CSDMS, INSTAAR, University of Colorado |
Postal address 1 | 1560 30th street |
Postal address 2 | |
Town / City | Boulder |
Postal code | 80305 |
State | Colorado |
Country | USA"USA" is not in the list (Afghanistan, Albania, Algeria, Andorra, Angola, Antigua and Barbuda, Argentina, Armenia, Australia, Austria, ...) of allowed values for the "Country" property. |
Email address | Scott.Peckham@colorado.edu |
Phone | 303-492-6752 |
Fax |
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