Lecture GB - Prac 10: Modeling packages - tools/methodology and procedures

22 important questions on Lecture GB - Prac 10: Modeling packages - tools/methodology and procedures

Packages in the unsaturated zone

  • RCH
  • EVT
  • ETS
  • UZF


Unsat: advanced Darcy/Richards, only z-direction; soil; bc = Hgr

Packages in the saturated zone?

  • WEL
  • MNW1
  • MNW2
  • HFB
  • SUB


x,y layers; Dupuit; recharge = rain

Packages in the open water?

  • DRN
  • SWR
  • RIV
  • GHB
  • STR
  • SFR


line St-Venant; constant drainage
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Name two basic facts on MODflow

  • Modular flow
  • Modules > packages
  • Based on rectangular finite volumes
  • Name the formula
    • Fluxes of heads
  • Integral Qi: eg fluxes of well package/recharge package 

What are required packages for Modflow?

  • Flow packages (internal flow)
  • Solver packages: until convergence
  • Forcings packages (external flow)
    • Unsaturated zone flow
    • Open water flow

Explain numerical complication due to the (in)activities of cells

The continuous inactive/active switchoffs of cells due to the changing water level and consequently changing transmissivity. This causes a numerical problem.

Solution: NWT

Unsaturated zone flow packages

  • Dirichlet BC
    • ?
  • Neumann BC:
    • ? (RCH: recharge package)
  • Cauchy BC
    • EVT
    • ETS
  • Flow process package
    • UZF: unsaturated zone processes (closer to Richard)


Extraction from EVT and ETS comes from rooting. The GW table changes linearly, meaning shallow roots cannot access GW anymore at a certain point (see left graph slide 14).

Unsaturated zone flow (UZF) package

  • Numerical technique
  • Method of characteristics (Lagrange-ish)
  • Following position of a fixed moisture content
  • All typical moisture contents are tracked
    • ...

What is the slope (slide 25)?

Resistance/conductivity

What is the difference between conductivity and conductance

Conductivity = K (hydraulic conductivity)
Conductance = K*area (typical modflow term)

What are flow packages (internal flow - saturated GW)?

LPF: Layer Property Flow
UPW: Upstream Weighting
HUF: Hydrological Unit Flow
BCF: Block Centered Flow

What are solver packages?

  • PCG (use of (conjugated) gradient) > misfit of calculated heads - minimal SS finder - very efficient
  • NWT (no wet/dry problems)
  • SIP
  • SOR (your hydrogeology (spreadsheet) experience)
  • GMG
    LMG
  • DE4

What are wet/dry issues?

  • Consider nodes and vertical flow
  • Modflow tracks on GW head depth and saturated thickness of cell. Thus: kD > kh (because h=sat thickness which the confined aquifer/what MODFLOW effectively looks at)
  • Only h thickness is thus used to calculate flux
  • If GW table is below a cell, it becomes inactive
  • Issue: (in)activing switch, could be a numerical nastiness (maybe related to instability)


NWT: Newton and upwinding package can circumvent this

What are 'optional' packages/top systems/BC packages (USGS)

  • Not related H
    • Neumann
  • Related to H
    • Cauchy (combi of flux & fixed head)
    • Dirichlet
  • Flow process packages (more advanced)
    • Own water balance/budget
    • Own 'flow'eq
      • UZF: unsaturated zone
      • STR/SFR: OW/hydraulics
      • SWR: special version of modflow with emphasis on hydraulics
      • LAK: lakes

What are packages for the saturated zone flow?

  • Dirichlet:
    • IBOUND: prescribed head at boundaries (constant during whole simulation)
    • CHD1: time variant specified head package (transient!)
  • Neumann:
    • RCH: recharge
    • WEL: well (MNW1,2)
  • Cauchy:
    • GHB: gen head boundary - relation to conductance icw a prescribed head

Unsat zone flow - copy slide 11 to word!!

Capillary rise = negative pressure
Moisture content and fluxes are related

Pressure heads 
Linear line: h = z if q=0
Cap rise: q>0 (negative pressure is higher)
Infiltration: q<0 (pressures less)
Unsaturated zone: very non-linear

Pressure head and moisture content are related to K.

Packages in unsaturated zone flow

  • Dirichlet:
    • ?
  • Neumann:
    • ? (RCH)
  • Cauchy:
    • EVT: evapotranspiration
    • ETS: evapotrans segments package
  • Flow process package
    • UZF: Unsat Zone Flow (closer to Richards)

Open water flow (hydraulics): introduction/basics

  • St Venant eqs
  • Simplify: gradual flow, use of kinematic wave approximation
  • Weirs/constructs in rivers
  • St Venant can be simplified to
    • STR: Manning equation: only bed slope considered
    • SFR: Backwater

Which packages are used in open water flow?

  • Cauchy:
    • GHB
    • DRN (+DRT)
    • RIV: river
  • Flow process package
    • STR: stream
    • SFR: Stream Flow Routing
    • SWR: Surface Water Routing

GHB: generalizes to a Cauchy BC

  • It is a Cauchy BC
  • Use as BC
  • Use as domain
  • OW(GHB) or unsat zone(EVP)


Graph:
  • x: haq
  • y: flux rates
  • slope = constant
  • Check graph!


What does the angle of the slope mean?
Tells you smt about resistance/hydraulic conductivity(k).
If the slope is steeper: small change in head will cause a small change in losing/gaining flux.
If the slope is less steep, the change in losing/gaining flux is large.

How does the DRN (drain) package in open water flow -Cauchy work?

  • Version of GHB
  • Cannot infiltrate! (GHB can)
  • Thus can only drain
  • Wetlands
  • H > drnelev: Q>0
  • H <= drnelev Q=0

Why can it not infiltrate?
  • When GW lvl is below drain, it switches off     

How does the RIV (river package in open water flow -Cauchy work?

  • Only vertical exchange
  • Rectangle river
  • Low conductivity layer on bottom
  • Avg GW level (calculated)
  • Fixed river water lvl


k = hydraulic conductivity
Conductance = upscaled k that also considers length, width and thickness of river

Qriv = LWk*(Hriv-Haqf)/b
Conductance = LWk/b
Qriv = Cond(Hriv-Haqf)

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