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GPS-X Technical Reference

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287 Digestion Models<br />

The rest of the dissociation constants are not corrected for temperature changes in the<br />

basic model.<br />

Gas transfer parameters are also defined on this form. The mass transfer coefficient for<br />

carbon dioxide gas (sco2) between the liquid and gas phases (KLaco2) is not corrected by<br />

temperature in the basic model. Henry's law constant for carbon dioxide (henryco2) is<br />

also included in this item and is not corrected for temperature.<br />

Anaerobic Digestion Model #1 (ADM1)<br />

Anaerobic Digestion Model #1 (ADM1) (Batstone et al., 2002) is implemented in <strong>GPS</strong>-X<br />

according to the ADM1 COST Benchmark (Rosen and Jeppsson, 2002), with the<br />

following changes:<br />

<br />

<br />

Several differential equations that describe the acid-base equilibrium of the<br />

system (equations for S va-, S bu-, S pro-, S ac-, S hco3-, and S nh3) have been converted to<br />

algebraic equations as described in Table B.3 of Batstone et al. (2002). These<br />

processes are very fast and contribute to the stiffness of the system of differential<br />

equations.<br />

The differential equation for S h2 has been converted to an algebraic equation to<br />

improve the simulation speed. This process is very fast and contributes to the<br />

stiffness of the system of differential equations. This approach is described by<br />

Rosen et al. (2005).<br />

These changes substantially increase the solution speed of ADM1 in <strong>GPS</strong>-X and allow an<br />

integration algorithm other than Gear’s Stiff to be used. Double Precision arithmetic<br />

should be used when solving ADM1 in <strong>GPS</strong>-X<br />

(accessed in Options > Preferences > Build tab)<br />

The structured model includes five process steps including disintegration, hydrolysis,<br />

acidogenesis, acetogenesis and methanogenesis. The model uses 32 dynamic state<br />

variables, 6 acid-base kinetic processes, 19 biochemical processes, and 3 gas-liquid<br />

transfer processes.<br />

A simplified ADM1 material flow diagram is shown in Figure 10-11. For a full<br />

description of the model, the reader is referred to Batstone et al,. (2002). Implementation<br />

details are found in Rosen and Jeppsson (2002).<br />

<strong>GPS</strong>-X <strong>Technical</strong> <strong>Reference</strong>

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