Darcy Flow & Penetration Depth
In a saturated porous medium, hydraulic head obeys a diffusion-like equation ∂h/∂t = K∇²h when storativity is normalized. Fixed-head boundaries relax the profile; the readout √(K t) hints how disturbances penetrate over time.
Who it's for: Introductory hydrogeology or transport lectures.
Key terms
- Darcy law
- Hydraulic conductivity
- Groundwater
- Diffusion
Live graphs
How it works
Darcy-scale groundwater relaxation: head obeys a diffusion equation in a confined column; compare hydraulic conductivity K to how quickly the profile flattens.
Frequently asked questions
- Where is specific storativity?
- It is absorbed into the time scaling of this toy model; focus is on shape relaxation rather than field-scale parameter identification.
More from Biophysics, Fluids & Geoscience
Other simulators in this category — or see all 12.
Quadrupole / Penning-Style Trap
2D motion in a hyperbolic electric potential Φ ∝ x²−y² with axial magnetic field B: epicycloid-like bounded orbits.
Layered Medium: P/S Fronts & Hodograph
P and S in a two-layer straight-ray toy: reflected legs and optional head branches when the lower layer is faster; hodograph plus minimum-time first arrivals (no conversions or amplitudes).
Geomagnetic Reversals (Toy Dynamo)
Low-order α–Ω cartoon: axial dipole B(t) from coupled amplitudes with symmetry breaking — stochastic flips, not MHD.
Greenhouse: One vs Two Slabs
Compare gray-atmosphere surface temperature for one IR slab vs two coupled slabs; albedo α and absorptivities.
Ekman Spiral in the Ocean
Wind stress, Coriolis f, eddy viscosity A_z: classical Ekman spiral of horizontal velocity with depth; deflection angle.
Hodgkin–Huxley Action Potential
Squid-axon HH ODEs: membrane voltage V(t) and gating (m, h, n); step stimulus and Na⁺/K⁺ conductance traces.