Faculty of Environmental Sciences, Institute of Waste Management and Contaminated Site Treatment. The Simulation Software.
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1 Faculty of Environmental Science, Intitute of Wate Management and Contaminated Site Treatment The Simulation Software PCSiWaPro
2 Overview 1. Modelling in the unaturated oil zone 2. The oftware PCSiWaPro 3. The weather generator 4. Application TU Dreden, The imulation oftware PCSiWaPro Page 2 of 38
3 Overview 1. Modelling in the unaturated oil zone 2. The oftware PCSiWaPro 3. The weather generator 4. Application TU Dreden, The imulation oftware PCSiWaPro Page 3 of 38
4 Modelling in the unaturated oil zone Why modelling? fater, le expenive than field experiment rik aement, prognoi cenario analyi (bet cae/wort cae, ) proce undertanding But:The more procee included in a model, the more difficult parameterization become! water flow, root water uptake, plant growth, preferential flow, contaminant tranport, orption, decay, chemical reaction, oil-urface-interaction, oil-groundwater-interaction, TU Dreden, The imulation oftware PCSiWaPro Page 4 of 38
5 Modelling in the unaturated oil zone Precipitation Contaminated ite Leachate Place of aement Unaturated oil zone Capillary fringe Groundwater TU Dreden, The imulation oftware PCSiWaPro Page 5 of 38
6 Modelling in the unaturated oil zone Model decribed by partial differential equation: Flow: RICHARDS-Equation, retention curve parameterization by VAN GENUCHTEN/LUCKNER t x i K K A ij h x j K A iz S r 1 r, w h c n r, l 1 1 n volumetric water content poroity t time r,w reidual water content x i (x 1 =x, x 2 =z), patial coordinate r,l reidual air content K hydraulic conductivity caling factor (van Genuchten) h preure head n lope factor (van Genuchten) S ink/ource term h c capillary preure head TU Dreden, The imulation oftware PCSiWaPro Page 6 of 38
7 Modelling in the unaturated oil zone Retention curve S: Sand U: Silt T: Clay Source: nach Scheffer & Schachtchabel (2002): Lehrbuch der Bodenkunde. Heidelberg. TU Dreden, The imulation oftware PCSiWaPro Page 7 of 38
8 Modelling in the unaturated oil zone Retention curve: hyterei Primary Drainage Curve PDC Scanning Wetting Curve SWC Scanning Drainage Curve SDC Main Wetting Curve MWC Main Drainage Curve MDC Source: nach Scheffer & Schachtchabel (2002): Lehrbuch der Bodenkunde. Heidelberg. TU Dreden, The imulation oftware PCSiWaPro Page 8 of 38
9 Modelling in the unaturated oil zone Model decribed by partial differential equation: Tranport: Convection-Diperion-Equation c t t x i D ij c x j qic x i w c w Sc c Ρ t q i concentration orbed concentration bulk denity time i-th component of flux D ij S C γ w, γ tenor of diperion coefficient ink/ource term concentration of ink/ource term parameter for 0 t order procee µ w, µ parameter for 1 th order procee TU Dreden, The imulation oftware PCSiWaPro Page 9 of 38
10 TU Dreden, Page 10 of 38 Modelling in the unaturated oil zone Model decribed by partial differential equation: Tranport: Convection-Diperion-Equation attachment and detachment of contaminant to oil body decribed by iotherm w w i i j ij i Sc c x q c x c D x t t c orption The imulation oftware PCSiWaPro
11 Modelling in the unaturated oil zone Sorption iotherm HENRY: linear, for low concentration K ( K ) m flm, b d flm, b d flm, FREUNDLICH: exponential, for fixed number of orption pot q m flm, KF fl, m LANGMUIR: non-linear, for high-concentration m flm, K L 1 K L flm, flm, m adorbed ma on the olid phae water content, b oil bulk denity, fl,m partial ma denity in the fluid phae K d partitioning-(henry)-coefficient, q contant parameter, K F FREUNDLICHcoefficient,max max. adorbed ma on the olid phae, K L LANGMUIR-coefficient TU Dreden, The imulation oftware PCSiWaPro Page 11 of 38,max
12 Modelling in the unaturated oil zone Model decribed by partial differential equation: Tranport: Convection-Diperion-Equation c t t x i D ij c x diperion/ diffuion j qic x i w c w Sc diperion coupled to convection diffuion due to BROWNian movement TU Dreden, The imulation oftware PCSiWaPro Page 12 of 38
13 TU Dreden, Page 13 of 38 Modelling in the unaturated oil zone Model decribed by partial differential equation: Tranport: Convection-Diperion-Equation convection tranport with the flow of water w w i i j ij i Sc c x q c x c D x t t c The imulation oftware PCSiWaPro
14 Modelling in the unaturated oil zone Model decribed by partial differential equation: Tranport: Convection-Diperion-Equation c t t x i D ij c x j qic x i c w 0th/1t order internal reaction w Sc internal production or degradation example: exponential decay dm m dt e m m,0 m m t TU Dreden, The imulation oftware PCSiWaPro Page 14 of 38
15 Modelling in the unaturated oil zone Model decribed by partial differential equation: Tranport: Convection-Diperion-Equation c t t x i D ij c x j qic x contaminant concentration at model boundary i c w w ink/ ource Sc ource term function TU Dreden, The imulation oftware PCSiWaPro Page 15 of 38
16 Modelling in the unaturated oil zone How to ue thee equation to imulate model behaviour input data oil parameter (conductivitie, poroitie, ) contaminant parameter (diffuion coefficient, half-life, ) initial condition teady-tate or tranient boundary condition mathematical equation olving technique additional input data: dicretization of the model area (pace and time) TU Dreden, The imulation oftware PCSiWaPro Page 16 of 38
17 Overview 1. Modelling in the unaturated oil zone 2. The oftware PCSiWaPro 3. The weather generator 4. Application TU Dreden, The imulation oftware PCSiWaPro Page 17 of 38
18 The oftware PCSiWaPro PCSiWaPro : a oftware to imulate flow and tranport procee in the unaturated oil zone (1) model generator (2) ytem olver (3) reult viewer TU Dreden, The imulation oftware PCSiWaPro Page 18 of 38
19 The oftware PCSiWaPro How to ue thee equation to imulate model behaviour with PCSiWaPro input data oil parameter (conductivitie, poroitie, ) contaminant parameter (diffuion coefficient, half-life, ) initial condition teady-tate or tranient boundary condition mathematical equation olving technique additional input data: dicretization of the model area (pace and time) TU Dreden, The imulation oftware PCSiWaPro Page 19 of 38
20 The oftware PCSiWaPro Integrated 1D- or 2D-meh generator TU Dreden, The imulation oftware PCSiWaPro Page 20 of 38
21 The oftware PCSiWaPro How to ue thee equation to imulate model behaviour with PCSiWaPro input data oil parameter (conductivitie, poroitie, ) contaminant parameter (diffuion coefficient, half-life, ) initial condition teady-tate or tranient boundary condition mathematical equation olving technique additional input data: dicretization of the model area (pace and time) TU Dreden, The imulation oftware PCSiWaPro Page 21 of 38
22 The oftware PCSiWaPro Data input through uer-friendly GUI input data from: (1) integrated databae (2) pedotranfer function (3) meaured data election of model aumption orption iotherm ource term function TU Dreden, The imulation oftware PCSiWaPro Page 22 of 38
23 The oftware PCSiWaPro How to ue thee equation to imulate model behaviour with PCSiWaPro input data oil parameter (conductivitie, poroitie, ) contaminant parameter (diffuion coefficient, half-life, ) initial condition teady-tate or tranient boundary condition mathematical equation olving technique additional input data: dicretization of the model area (pace and time) TU Dreden, The imulation oftware PCSiWaPro Page 23 of 38
24 The oftware PCSiWaPro Equation olved by: dicretization pace: finite element time: adjuted finite interval explicit, implicit, Crank-Nicholon repeated olution of linear equation ytem for each timetep direct: GAUSSian elimination iterative: preconditioned conjugate gradient method Problem: long imulation runtime TU Dreden, The imulation oftware PCSiWaPro Page 24 of 38
25 The oftware PCSiWaPro Current reearch topic: ource code parallelization dividing work into mutually independent part Incremental parallelim (OpenMP) domain decompoition (MPI) computationally mot expenive tak: matrix aembly, ytem olver integrating and teting of parallel olver librarie TU Dreden, The imulation oftware PCSiWaPro Page 25 of 38
26 The oftware PCSiWaPro Simulation (dam eepage example) TU Dreden, The imulation oftware PCSiWaPro Page 26 of 38
27 The oftware PCSiWaPro Reult viewer TU Dreden, The imulation oftware PCSiWaPro Page 27 of 38
28 Overview 1. Modelling in the unaturated oil zone 2. The oftware PCSiWaPro 3. The weather generator 4. Application TU Dreden, The imulation oftware PCSiWaPro Page 28 of 38
29 The weather generator How to ue thee equation to imulate model behaviour with PCSiWaPro input data oil parameter (conductivitie, poroitie, ) contaminant parameter (diffuion coefficient, half-life, ) initial condition teady-tate or tranient boundary condition mathematical equation olving technique additional input data: dicretization of the model area (pace and time) TU Dreden, The imulation oftware PCSiWaPro Page 29 of 38
30 The weather generator Computation of upper boundary condition with the integrated weather generator input data precipitation evapotranpiration vegetation cover lope output: daily value of precipitation TU Dreden, The imulation oftware PCSiWaPro Page 30 of 38
31 The weather generator Time erie generation by: (1) tatitical characterization of input time erie (2) patial interpolation of tatitical parameter (3) ampling of ynthetical time erie pat, preent and future TU Dreden, The imulation oftware PCSiWaPro Page 31 of 38
32 The weather generator Data input through aitant TU Dreden, The imulation oftware PCSiWaPro Page 32 of 38
33 The weather generator Graphical viualization of reult time erie automatic tranfer to PCSiWaPro model TU Dreden, The imulation oftware PCSiWaPro Page 33 of 38
34 Overview 1. Modelling in the unaturated oil zone 2. The oftware PCSiWaPro 3. The weather generator 4. Application TU Dreden, The imulation oftware PCSiWaPro Page 34 of 38
35 Application Application of PCSiWaPro in the following field: leachate forecat earth dam capillary barrier landfill coverage mall-cale ewage treatment plant TU Dreden, The imulation oftware PCSiWaPro Page 35 of 38
36 Application Completed application with PCSiWaPro : Seepage in an earth dam How long / how far will the unaturated zone be wetted until intabilitie occur? Influence of tructural meaure (drainage, blocking wall, ) TU Dreden, The imulation oftware PCSiWaPro Page 36 of 38
37 Application Completed application with PCSiWaPro : Simulation of a capillary barrier in a tipping trough Which material hould be ued? What are requirement for the dimenioning of the tipping trough? TU Dreden, The imulation oftware PCSiWaPro Page 37 of 38
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