Soil heat with bucket water scheme

In this example, we construct a Tile consisting of a soil column with (i) heat conduction and (ii) a bucket hydrology scheme. The rainfall data comes from the ERA5-Interim reanalysis product.

Frist, load forcings and define boundary conditions.

using CryoGrid
forcings = loadforcings(CryoGrid.Presets.Forcings.Samoylov_ERA_obs_fitted_1979_2014_spinup_extended_2044);
_, tempprofile = CryoGrid.Presets.SamoylovDefault;
initT = initializer(:T, tempprofile)
initsat = initializer(:sat, (l,state) -> state.sat .= l.para.sat);
upperbc = WaterHeatBC(SurfaceWaterBalance(forcings), TemperatureBC(forcings.Tair, NFactor(0.5,0.9)));

The @Stratigraphy macro is just a small convenience that automatically wraps the three subsurface layers in a tuple. It would be equivalent to use the Stratigraphy constructor directly and wrap these layers in a tuple or list.

strat = @Stratigraphy(
    0.0u"m" => Top(upperbc),
    0.0u"m" => Ground(MineralOrganic(por=0.80,sat=0.5,org=0.75), heat=HeatBalance(), water=WaterBalance(BucketScheme())),
    0.2u"m" => Ground(MineralOrganic(por=0.40,sat=0.75,org=0.10), heat=HeatBalance(), water=WaterBalance(BucketScheme())),
    2.0u"m" => Ground(MineralOrganic(por=0.10,sat=1.0,org=0.0), heat=HeatBalance(), water=WaterBalance(BucketScheme())),
    1000.0u"m" => Bottom(GeothermalHeatFlux(0.053u"W/m^2")),
modelgrid = CryoGrid.Presets.DefaultGrid_2cm
tile = Tile(strat, modelgrid, initT, initsat);

Now we set up the problem and solve using the integrator interface.

tspan = (DateTime(2010,5,30),DateTime(2012,8,30))
u0, du0 = initialcondition!(tile, tspan)
prob = CryoGridProblem(tile, u0, tspan, savevars=(:T,:jw,:θw,:θwi), saveat=3*3600.0)
integrator = init(prob, CGEuler())
# Take a single step:
# ...then iterate over the remaining steps.
@time for i in integrator
    # can add code here if necessary
out = CryoGridOutput(integrator.sol)
CryoGridOutput with 6585 time steps (2010-05-30T00:00:00 to 2012-08-30T00:00:00) and 7 variables:
    sat => DimArray of Float64 with dimensions (278, 6585)
    H => DimArray of Quantity{Float64, 𝐌 𝐋^-1 𝐓^-2, Unitful.FreeUnits{(J, m^-3), 𝐌 𝐋^-1 𝐓^-2, nothing}} with dimensions (278, 6585)
    jw => DimArray of Quantity{Float64, 𝐋 𝐓^-1, Unitful.FreeUnits{(m, s^-1), 𝐋 𝐓^-1, nothing}} with dimensions (279, 6585)
    θwi => DimArray of Float64 with dimensions (278, 6585)
    θw => DimArray of Float64 with dimensions (278, 6585)
    T => DimArray of Quantity{Float64, 𝚯, Unitful.FreeUnits{(K,), 𝚯, Unitful.Affine{-5463//20}}} with dimensions (278, 6585)
    top => 
        runoff => DimArray of Quantity{Float64, 𝐋^3, Unitful.FreeUnits{(m^3,), 𝐋^3, nothing}} with dimensions (1, 6585)

Now let's check mass conservation for water.

water_added = values(sum(forcings.rainfall.(tspan[1]:Hour(3):tspan[2]).*u"m/s".*(3*3600.0u"s")))[1]
water_mass = Diagnostics.integrate(out.θwi, tile.grid)
Δwater = water_mass[end] - water_mass[1]

Plot the results:

import Plots
zs = [1,5,9,15,21,25,33,55,65,75,100]u"cm"
cg = Plots.cgrad(:copper,rev=true);


Plots.plot(out.T[Z(Near(zs))], color=cg[LinRange(0.0,1.0,length(zs))]', ylabel="Temperature", leg=false, size=(800,500), dpi=150)
Example block output

Liquid water:

Plots.plot(out.θw[Z(Near(zs))], color=cg[LinRange(0.0,1.0,length(zs))]', ylabel="Unfrozen water content", leg=false, size=(800,500), dpi=150)
Example block output


Plots.plot(out.sat[Z(Near(zs))], color=cg[LinRange(0.0,1.0,length(zs))]', ylabel="Saturation", leg=false, size=(800,500), dpi=150)
Example block output


Plots.plot([1,:], ylabel="Runoff")
Example block output

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