128 lines
7.5 KiB
JavaScript
128 lines
7.5 KiB
JavaScript
const math = require('mathjs')
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class ASM3 {
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constructor() {
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this.kin_params = {
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// Kinetic parameters (20 C for now)
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// Hydrolysis
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k_H: 3., // hydrolysis rate constant [g X_S g-1 X_H d-1]
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K_X: 1., // hydrolysis saturation constant [g X_S g-1 X_H]
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// Heterotrophs
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k_STO: 5., // storage rate constant [g S_S g-1 X_H d-1]
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nu_NO: 0.6, // anoxic reduction factor [-]
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K_O: 0.2, // saturation constant S_0 [g O2 m-3]
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K_NO: 0.5, // saturation constant S_NO [g NO3-N m-3]
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K_S: 2., // saturation constant S_s [g COD m-3]
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K_STO: 1., // saturation constant X_STO [g X_STO g-1 X_H]
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mu_H_max: 2., // maximum specific growth rate [d-1]
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K_NH: 0.01, // saturation constant S_NH3 [g NH3-N m-3]
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K_HCO: 0.1, // saturation constant S_HCO [mole HCO3 m-3]
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b_H_O: 0.2, // aerobic respiration rate [d-1]
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b_H_NO: 0.1, // anoxic respiration rate [d-1]
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b_STO_O: 0.2, // aerobic respitation rate X_STO [d-1]
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b_STO_NO: 0.1, // anoxic respitation rate X_STO [d-1]
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// Autotrophs
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mu_A_max: 1.0, // maximum specific growth rate [d-1]
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K_A_NH: 1., // saturation constant S_NH3 [g NH3-N m-3]
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K_A_O: 0.5, // saturation constant S_0 [g O2 m-3]
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K_A_HCO: 0.5, // saturation constant S_HCO [mole HCO3 m-3]
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b_A_O: 0.15, // aerobic respiration rate [d-1]
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b_A_NO: 0.05 // anoxic respiration rate [d-1]
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};
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this.stoi_params = {
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// Stoichiometric and composition parameters
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f_SI: 0., // fraction S_I from hydrolysis [g S_I g-1 X_S]
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f_XI: 0.2, // fraction X_I from decomp X_H [g X_I g-1 X_H]
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// Yields
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Y_STO_O: 0.85, // aerobic yield X_STO per S_S [g X_STO g-1 S_S]
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Y_STO_NO: 0.80, // anoxic yield X_STO per S_S [g X_STO g-1 S_S]
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Y_H_O: 0.63, // aerobic yield X_H per X_STO [g X_H g-1 X_STO]
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Y_H_NO: 0.54, // anoxic yield X_H per X_STO [g X_H g-1 X_STO]
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Y_A: 0.24, // anoxic yield X_A per S_NO [g X_A g-1 NO3-N]
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// Composition (COD via DoR)
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i_CODN: -1.71, // COD content (DoR) [g COD g-1 N2-N]
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i_CODNO: -4.57, // COD content (DoR) [g COD g-1 NO3-N]
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// Composition (nitrogen)
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i_NSI: 0.01, // nitrogen content S_I [g N g-1 S_I]
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i_NSS: 0.03, // nitrogen content S_S [g N g-1 S_S]
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i_NXI: 0.02, // nitrogen content X_I [g N g-1 X_I]
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i_NXS: 0.04, // nitrogen content X_S [g N g-1 X_S]
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i_NBM: 0.07, // nitrogen content X_H / X_A [g N g-1 X_H / X_A]
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// Composition (TSS)
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i_TSXI: 0.75, // TSS content X_I [g TS g-1 X_I]
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i_TSXS: 0.75, // TSS content X_S [g TS g-1 X_S]
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i_TSBM: 0.90, // TSS content X_H / X_A [g TS g-1 X_H / X_A]
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i_TSSTO: 0.60, // TSS content X_STO (PHB based) [g TS g-1 X_STO]
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// Composition (charge)
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i_cNH: 1/14, // charge per S_NH [mole H+ g-1 NH3-N]
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i_cNO: -1/14 // charge per S_NO [mole H+ g-1 NO3-N]
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};
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this.stoi_matrix = this._initialise_stoi_matrix();
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}
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_initialise_stoi_matrix() { // initialise stoichiometric matrix
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const { f_SI, f_XI, Y_STO_O, Y_STO_NO, Y_H_O, Y_H_NO, Y_A, i_CODN, i_CODNO, i_NSI, i_NSS, i_NXI, i_NXS, i_NBM, i_TSXI, i_TSXS, i_TSBM, i_TSSTO, i_cNH, i_cNO } = this.stoi_params;
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const stoi_matrix = Array(12);
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// S_O, S_I, S_S, S_NH, S_N2, S_NO, S_HCO, X_I, X_S, X_H, X_STO, X_A, X_TS
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stoi_matrix[0] = [0., f_SI, 1.-f_SI, i_NXS-(1.-f_SI)*i_NSS-f_SI*i_NSI, 0., 0., (i_NXS-(1.-f_SI)*i_NSS-f_SI*i_NSI)*i_cNH, 0., -1., 0., 0., 0., -i_TSXS];
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stoi_matrix[1] = [-(1.-Y_STO_O), 0, -1., i_NSS, 0., 0., i_NSS*i_cNH, 0., 0., 0., Y_STO_O, 0., Y_STO_O*i_TSSTO];
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stoi_matrix[2] = [0., 0., -1., i_NSS, -(1.-Y_STO_NO)/(i_CODNO-i_CODN), (1.-Y_STO_NO)/(i_CODNO-i_CODN), i_NSS*i_cNH + (1.-Y_STO_NO)/(i_CODNO-i_CODN)*i_cNO, 0., 0., 0., Y_STO_NO, 0., Y_STO_NO*i_TSSTO];
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stoi_matrix[3] = [-(1.-Y_H_O)/Y_H_O, 0., 0., -i_NBM, 0., 0., -i_NBM*i_cNH, 0., 0., 1., -1./Y_H_O, 0., i_TSBM-i_TSSTO/Y_H_O];
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stoi_matrix[4] = [0., 0., 0., -i_NBM, -(1.-Y_H_NO)/(Y_H_NO*(i_CODNO-i_CODN)), (1.-Y_H_NO)/(Y_H_NO*(i_CODNO-i_CODN)), -i_NBM*i_cNH+(1.-Y_H_NO)/(Y_H_NO*(i_CODNO-i_CODN))*i_cNO, 0., 0., 1., -1./Y_H_NO, 0., i_TSBM-i_TSSTO/Y_H_NO];
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stoi_matrix[5] = [f_XI-1., 0., 0., i_NBM-f_XI*i_NXI, 0., 0., (i_NBM-f_XI*i_NXI)*i_cNH, f_XI, 0., -1., 0., 0., f_XI*i_TSXI-i_TSBM];
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stoi_matrix[6] = [0., 0., 0., i_NBM-f_XI*i_NXI, -(1.-f_XI)/(i_CODNO-i_CODN), (1.-f_XI)/(i_CODNO-i_CODN), (i_NBM-f_XI*i_NXI)*i_cNH+(1-f_XI)/(i_CODNO-i_CODN)*i_cNO, f_XI, 0., -1., 0., 0., f_XI*i_TSXI-i_TSBM];
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stoi_matrix[7] = [-1., 0., 0., 0., 0., 0., 0., 0., 0., 0., -1., 0., -i_TSSTO];
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stoi_matrix[8] = [0., 0., 0., 0., -1./(i_CODNO-i_CODN), 1./(i_CODNO-i_CODN), i_cNO/(i_CODNO-i_CODN), 0., 0., 0., -1., 0., -i_TSSTO];
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stoi_matrix[9] = [1.+i_CODNO/Y_A, 0., 0., -1./Y_A-i_NBM, 0., 1./Y_A, (-1./Y_A-i_NBM)*i_cNH+i_cNO/Y_A, 0., 0., 0., 0., 1., i_TSBM];
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stoi_matrix[10] = [f_XI-1., 0., 0., i_NBM-f_XI*i_NXI, 0., 0., (i_NBM-f_XI*i_NXI)*i_cNH, f_XI, 0., 0., 0., -1., f_XI*i_TSXI-i_TSBM];
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stoi_matrix[11] = [0., 0., 0., i_NBM-f_XI*i_NXI, -(1.-f_XI)/(i_CODNO-i_CODN), (1.-f_XI)/(i_CODNO-i_CODN), (i_NBM-f_XI*i_NXI)*i_cNH+(1-f_XI)/(i_CODNO-i_CODN)*i_cNO, 0., 0., 0., 0., -1., f_XI*i_TSXI-i_TSBM];
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return stoi_matrix[0].map((col, i) => stoi_matrix.map(row => row[i])); // transpose matrix
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}
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_monod(c, K){
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return c / (K + c);
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}
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_inv_monod(c, K){
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return K / (K + c);
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}
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compute_rates(state) { // computes reaction rates. state is optional
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// state: S_O, S_I, S_S, S_NH, S_N2, S_NO, S_HCO, X_I, X_S, X_H, X_STO, X_A, X_TS
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const rates = Array(12);
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const [S_O, S_I, S_S, S_NH, S_N2, S_NO, S_HCO, X_I, X_S, X_H, X_STO, X_A, X_TS] = state;
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const { k_H, K_X, k_STO, nu_NO, K_O, K_NO, K_S, K_STO, mu_H_max, K_NH, K_HCO, b_H_O, b_H_NO, b_STO_O, b_STO_NO, mu_A_max, K_A_NH, K_A_O, K_A_HCO, b_A_O, b_A_NO } = this.kin_params;
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// Hydrolysis
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rates[0] = k_H * this._monod(X_S / X_H, K_X) * X_H;
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// Heterotrophs
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rates[1] = k_STO * this._monod(S_O, K_O) * this._monod(S_S, K_S) * X_H;
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rates[2] = k_STO * nu_NO * this._inv_monod(S_O, K_O) * this._monod(S_NO, K_NO) * this._monod(S_S, K_S) * X_H;
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rates[3] = mu_H_max * this._monod(S_O, K_O) * this._monod(S_NH, K_NH) * this._monod(S_HCO, K_HCO) * this._monod(X_STO/X_H, K_STO) * X_H;
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rates[4] = mu_H_max * nu_NO * this._inv_monod(S_O, K_O) * this._monod(S_NO, K_NO) * this._monod(S_NH, K_NH) * this._monod(S_HCO, K_HCO) * this._monod(X_STO/X_H, K_STO) * X_H;
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rates[5] = b_H_O * this._monod(S_O, K_O) * X_H;
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rates[6] = b_H_NO * this._inv_monod(S_O, K_O) * this._monod(S_NO, K_NO) * X_H;
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rates[7] = b_STO_O * this._monod(S_O, K_O) * X_H;
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rates[8] = b_STO_NO * this._inv_monod(S_O, K_O) * this._monod(S_NO, K_NO) * X_STO;
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// Autotrophs
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rates[9] = mu_A_max * this._monod(S_O, K_A_O) * this._monod(S_NH, K_A_NH) * this._monod(S_HCO, K_A_HCO) * X_A;
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rates[10] = b_A_O * this._monod(S_O, K_O) * X_A;
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rates[11] = b_A_NO * this._inv_monod(S_O, K_A_O) * this._monod(S_NO, K_NO) * X_A;
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return rates;
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}
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compute_dC(state) { // compute changes in concentrations
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// state: S_O, S_I, S_S, S_NH, S_N2, S_NO, S_HCO, X_I, X_S, X_H, X_STO, X_A, X_TS
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return math.multiply(this.stoi_matrix, this.compute_rates(state));
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}
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}
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module.exports = ASM3; |