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ASM1 Property Package

This package implements property relationships for the treatment of wastewater using an activated sludge biological reactor as provided in Henze, M. et al. (1987).

This Activated Sludge Model no.1 (ASM1) property/reaction package:
  • supports 'H2O', 'S_I', 'S_S', 'X_I', 'X_S', 'X_BH', 'X_BA', 'X_P', 'S_O', 'S_NO', 'S_NH', 'S_ND', 'X_ND', and 'S_ALK' as components
  • supports only liquid phase

Sets

Description Symbol Indices
Components j ['H2O', 'S_I', 'S_S', 'X_I', 'X_S', 'X_BH', 'X_BA', 'X_P', 'S_O', 'S_NO', 'S_NH', 'S_ND', 'X_ND', 'S_ALK']
Phases p ['Liq']

Components

Description Symbol Variable
Soluble inert organic matter, S_I S_I S_I
Readily biodegradable substrate S_S S_S S_S
Particulate inert organic matter, X_I X_I X_I
Slowly biodegradable substrate X_S X_S X_S
Active heterotrophic biomass X_B,H X_{B,H} X_BH
Active autotrophic biomass X_B,A X_{B,A} X_BA
Particulate products arising from biomass decay, X_P X_P X_P
Oxygen, S_O S_O S_O
Nitrate and nitrite nitrogen, S_NO S_{NO} S_NO
NH4 ^{+} + NH _{3} Nitrogen, S_NH S_{NH} S_NH
Soluble biodegradable organic nitrogen, S_ND S_{ND} S_ND
Particulate biodegradable organic nitrogen, X_ND X_{ND} X_ND
Alkalinity, S_ALK S_{ALK} S_ALK

State variables

Description Symbol Variable Index Units
Total volumetric flowrate Q flow_vol None \text{m}^3\text{/s}
Temperature T temperature None \text{K}
Pressure P pressure None \text{Pa}
Component mass concentrations C_j conc_mass_comp [j] \text{kg/}\text{m}^3
Alkalinity in molar concentration A alkalinity None \text{kmol HCO}_{3}^{-}\text{/m}^{3}

Stoichiometric Parameters

Description Symbol Parameter Value at 20 C Units
Yield of cell COD formed per g N consumed, Y_A Y_A Y_A 0.24 \text{dimensionless}
Yield of cell COD formed per g COD oxidized, Y_H Y_H Y_H 0.67 \text{dimensionless}
Fraction of biomass yielding particulate products, f_p f_P f_p 0.08 \text{dimensionless}
Mass fraction of N per COD in biomass, i_xb i_{XB} i_xb 0.08 \text{dimensionless}
Mass fraction of N per COD in particulates, i_xp i_{XP} i_xp 0.06 \text{dimensionless}

Kinetic Parameters

Description Symbol Parameter Value at 20 C Units
Maximum specific growth rate for autotrophic biomass, mu_A µ_A mu_A 0.5 \text{d}^{-1}
Maximum specific growth rate for heterotrophic biomass, mu_H µ_H mu_H 4.0 \text{d}^{-1}
Half-saturation coefficient for heterotrophic biomass, K_S K_S K_S 0.01 \text{kg COD/}\text{m}^{3}
Oxygen half-saturation coefficient for heterotrophic biomass, K_O,H K_{O,H} K_OH 0.0002 \text{kg -COD/}\text{m}^{3}
Oxygen half-saturation coefficient for autotrophic biomass, K_O,A K_{O,A} K_OA 0.0004 \text{kg -COD/}\text{m}^{3}
Nitrate half-saturation coefficient for denitrifying heterotrophic biomass, K_NO K_{NO} K_NO 0.0005 \text{kg NO}_{3}\text{-N/}\text{m}^{3}
Decay coefficient for heterotrophic biomass, b_H b_H b_H 0.3 \text{d}^{-1}
Decay coefficient for autotrophic biomass, b_A b_A b_A 0.05 \text{d}^{-1}
Correction factor for mu_H under anoxic conditions, eta_g \eta _g eta_g 0.8 \text{dimensionless}
Correction factor for hydrolysis under anoxic conditions, eta_h \eta _h eta_h 0.8 \text{dimensionless}
Maximum specific hydrolysis rate, k_h k_h k_h 3.0 \text{d}^{-1}
Half-saturation coefficient for hydrolysis of slowly biodegradable substrate, K_X K_X K_X 0.1 \text{dimensionless}
Ammonia Half-saturation coefficient for autotrophic biomass, K_NH K_{NH} K_NH 1.0 \text{kg NH}_{3}\text{-N/}\text{m}^{3}
Ammonification rate, k_a k_a k_a 0.00005 \text{m}^{3}\text{/}\text{kg COD . d}

Properties

Description Symbol Variable Index Units
Fluid specific heat capacity c_p cp None \text{J/kg/K}
Mass density \rho dens_mass [p] \text{kg/}\text{m}^3

Process Rate Equations

Description Equation
Aerobic growth of heterotrophs \rho _1 = µ_{H}(\frac{S_{S}}{K_{S}+S_{S}})(\frac{S_{O}}{K_{O,H}+S_{O}})X_{B,H}
Anoxic growth of heterotrophs \rho _2 = µ_{H}(\frac{S_{S}}{K_{S}+S_{S}})(\frac{K_{O,H}}{K_{O,H}+S_{O}})(\frac{S_{NO}}{K_{NO}+S_{NO}})\eta _{g}X_{B,H}
Aerobic growth of autotrophs \rho _3 = µ_{A}(\frac{S_{NH}}{K_{NH}+S_{NH}})(\frac{S_{O}}{K_{O,A}+S_{O}})X_{B,A}
Decay of heterotrophs \rho _4 = b_{H}X_{B,H}
Decay of autotrophs \rho _5 = b_{H}X_{B,H}
Ammonification of soluble organic nitrogen \rho _6 = k_{a}S_{ND}X_{B,H}
Hydrolysis of entrapped organics \rho _7 = k_{H}(\frac{X_{S}/X_{B,H}}{K_{X}+(X_{S}/X_{B,H})})[(\frac{S_{O}}{K_{O,H}+S_{O}})+\eta _{h}(\frac{K_{O,H}}{K_{O,H}+S_{O}})(\frac{S_{NO}}{K_{NO}+S_{NO}})]X_{B,H}
Hydrolysis of entrapped organic nitrogen \rho _7 = k_{H}(\frac{X_{S}/X_{B,H}}{K_{X}+(X_{S}/X_{B,H})})[(\frac{S_{O}}{K_{O,H}+S_{O}})+\eta _{h}(\frac{K_{O,H}}{K_{O,H}+S_{O}})(\frac{S_{NO}}{K_{NO}+S_{NO}})]X_{B,H}(X_{ND}/X_{S})

Scaling

Scaling for the ASM1 property package has yet to be implemented.

Class Documentation

.. currentmodule:: watertap.property_models.activated_sludge.asm1_properties


.. autoclass:: ASM1ParameterBlock
    :members:
    :noindex:


.. autoclass:: ASM1ParameterData
    :members:
    :noindex:


.. autoclass:: _ASM1StateBlock
    :members:
    :noindex:


.. autoclass:: ASM1StateBlockData
    :members:
    :noindex:


.. currentmodule:: watertap.property_models.activated_sludge.asm1_reactions


.. autoclass:: ASM1ReactionParameterBlock
    :members:
    :noindex:


.. autoclass:: ASM1ReactionParameterData
    :members:
    :noindex:


.. autoclass:: _ASM1ReactionBlock
    :members:
    :noindex:


.. autoclass:: ASM1ReactionBlockData
    :members:
    :noindex:

References

[1] Henze, M., Grady, C.P.L., Gujer, W., Marais, G.v.R., Matsuo, T., "Activated Sludge Model No. 1", 1987, IAWPRC Task Group on Mathematical Modeling for Design and Operation of Biological Wastewater Treatment. https://belinra.inrae.fr/doc_num.php?explnum_id=4467

[2] Alex, J. et al. Benchmark Simulation Model no.1 (BSM1). Lund University, 2008, 5-6. https://www.iea.lth.se/publications/Reports/LTH-IEA-7229.pdf