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Anaerobic Digester (Mesophilic) ​

Heated biological reactor operating at 35-38°C to stabilize organic sludge through anaerobic decomposition, reducing volatile solids by 40-55% while producing biogas (60-70% CH₄) for energy recovery.

Overview ​

Anaerobic digestion is the primary stabilization process for municipal wastewater sludge. Microorganisms break down organic matter in the absence of oxygen, producing methane-rich biogas and stabilized biosolids. This is the most energy-efficient sludge treatment process, often producing net positive energy when optimized.

When to Use ​

  • Medium to large WWTPs (>10,000 PE typically)
  • Primary + secondary sludge stabilization
  • When biogas/energy recovery is valued
  • Odor control requirement (enclosed process)
  • Class B biosolids production acceptable
  • Long-term economic optimization (20+ year payback acceptable)

Key Characteristics ​

  • High VS destruction (40-55% for conventional, up to 65% with THP)
  • Biogas production: 0.8-1.0 m³/kg VS destroyed
  • Long SRT: 15-20 days minimum (mesophilic)
  • Temperature control critical (35-38°C)
  • Significant capital cost (tanks, heating, mixing, gas handling)
  • Positive energy balance possible with CHP

Operating Modes ​

Basic Mode ​

  • Fixed VS destruction efficiency (default 50%)
  • Simple first-order kinetics
  • Default biogas yield (0.9 m³/kg VS)
  • Constant temperature and SRT
  • Basic heat loss model

Advanced Mode ​

  • ADM1 (Anaerobic Digestion Model No. 1) integration
  • Dynamic biogas composition (CH₄, CO₂, H₂S, NH₃)
  • Temperature-dependent kinetics
  • VFA accumulation and pH prediction
  • Inhibition modeling (ammonia, sulfide, LCFA)
  • Detailed heat balance (mixing, walls, gas, feed)
  • Stratification and mixing optimization

Mathematical Model ​

Governing Equations ​

VS Destruction:

$$VS_{destroyed} = VS_{in} \times \eta_{VS}$$

Where:

  • $\eta_{VS}$ = VS destruction efficiency (0.40-0.55 conventional, up to 0.65 with THP)
  • Dependent on: SRT, temperature, VS composition, mixing

First-Order Kinetics (Basic Mode):

$$\eta_{VS} = \frac{k_d \times SRT}{1 + k_d \times SRT}$$

Where:

  • $k_d$ = degradation rate constant (d⁻¹)
  • At 35°C: $k_d$ = 0.04-0.06 d⁻¹ for WAS, 0.06-0.10 d⁻¹ for primary
  • $SRT$ = solids retention time (days), typically 15-25d

Temperature Correction (Arrhenius):

$$k_d(T) = k_d(35°C) \times \theta^{(T-35)}$$

Where:

  • $\theta$ = 1.08-1.12 (temperature coefficient)
  • $T$ = operating temperature (°C)

Biogas Production:

$$Q_{biogas} = VS_{destroyed} \times Y_{gas}$$

Where:

  • $Y_{gas}$ = biogas yield (m³/kg VS destroyed)
  • Primary sludge: 0.9-1.1 m³/kg VS
  • WAS: 0.7-0.9 m³/kg VS
  • Mixed (50/50): 0.8-1.0 m³/kg VS

Methane Content:

$$CH_4 = 60-70% \text{ (v/v typical)}$$ $$CO_2 = 30-40%$$ $$H_2S = 500-3000 \text{ ppm (without treatment)}$$

Biogas Energy Content:

$$E_{biogas} = Q_{biogas} \times CH_4% \times 9.97 \text{ kWh/m}^3$$

At 65% CH₄: 6.5 kWh/m³ biogas

SRT:

$$SRT = \frac{V \times X}{Q_{waste} \times X_{waste}}$$

Where:

  • $V$ = digester volume (m³)
  • $X$ = VS concentration in digester (kg/m³)
  • $Q_{waste}$ = waste sludge flow (m³/d)
  • $X_{waste}$ = waste VS concentration (kg/m³)

Volatile Solids Loading Rate:

$$OLR = \frac{Q \times VS_{in}}{V}$$

Where:

  • $OLR$ = organic loading rate (kg VS/m³·d)
  • Typical range: 1.5-4.0 kg VS/m³·d
  • Conservative design: 1.6-2.4 kg VS/m³·d

Heat Balance ​

Heat Required:

$$Q_h = Q_{sensible} + Q_{losses} - Q_{input}$$

Sensible heat (bring feed to temperature):

$$Q_{sensible} = Q_{feed} \times \rho \times C_p \times (T_{dig} - T_{feed})$$

Where:

  • $\rho$ = density ≈ 1000 kg/m³
  • $C_p$ = specific heat ≈ 4.18 kJ/kg·°C
  • Typical: 20-40 kWh/m³ feed (temperate climate, feed @ 15°C → 35°C)

Heat losses:

$$Q_{losses} = U \times A \times (T_{dig} - T_{amb})$$

Where:

  • $U$ = overall heat transfer coefficient (W/m²·K)
    • Insulated: 0.3-0.6 W/m²·K
    • Uninsulated: 2-4 W/m²·K
  • $A$ = surface area (m²)
  • Typical: 3-6% of digester heat content per day (well insulated)

Heat from mixing:

$$Q_{mixing} = P_{mix} \times \eta_{heat}$$

Typically 5-20% of total heat requirement

Design Parameters ​

Input Parameters ​

ParameterSymbolUnitRangeDefaultDescription
Feed VS concentration$VS_{in}$%2-64.0Volatile solids in feed
Feed flow rate$Q$m³/d--Daily sludge feed
Target SRT-days15-2518Solids retention time
Operating temperature$T$°C30-4035Mesophilic range
VS destruction target$\eta_{VS}$%40-5550Design efficiency
Mixing intensity$P/V$W/m³5-128Power per unit volume
Feed temperature$T_f$°C10-2015Incoming sludge temp

Output Parameters ​

ParameterUnitDescription
Digester volumem³Required reactor volume
VS destroyedkg/dDaily VS reduction
Biogas productionm³/dDaily biogas generation
CH₄ productionm³/dMethane volume
Energy potentialkWh/dGross energy available
Heating demandkWh/dHeat required
Digestate flowm³/dStabilized sludge output
Digestate VS%Remaining volatile solids

Configuration Guide ​

Step-by-Step Setup ​

  1. Characterize Feed Sludge

    • Determine VS content (% of TS)
    • Composition: % primary, % WAS
    • Flow rate (average, peak)
    • Temperature
    • Typical: Primary @ 70-75% VS, WAS @ 65-75% VS
  2. Select Operating Parameters

    • Temperature: 35°C (mesophilic standard)
    • SRT: 15-20 days (standard), 12-15 days (high-rate with THP)
    • OLR: 1.6-2.4 kg VS/m³·d (conservative)
    • VS destruction: 50% (design target)
  3. Calculate Digester Volume

    Method 1: SRT-based

    For Q = 100 m³/d feed @ 4% VS (40 kg/m³)
    VS load = 100 × 40 = 4,000 kg VS/d
    
    Assume 50% destruction → Digester VS = 20 kg/m³ (2% VS)
    SRT = 18 days
    V = (4,000 × 18)/(20 × X_balance)
    
    Simplified: V = Q × SRT = 100 × 18 = 1,800 m³
    Add 20% for gas storage/freeboard → 2,160 m³
    Use 2,200 m³ (2 × 1,100 m³ digesters)

    Method 2: OLR-based

    OLR_design = 2.0 kg VS/m³·d
    VS_load = 4,000 kg/d
    V = 4,000/2.0 = 2,000 m³
    Add 20% → 2,400 m³
  4. Size Mixing System

    • Gas recirculation: 8-12 W/m³ (common in UK)
    • Mechanical mixers: 5-8 W/m³
    • For 2,200 m³: 17-26 kW mixing power
  5. Design Heating System

    Sensible heat:
    Qs = 100 m³/d × 1000 kg/m³ × 4.18 kJ/kg·°C × (35-15)°C
    Qs = 8,360 MJ/d = 2,322 kWh/d
    
    Heat losses (insulated, D=15m, H=12m):
    A_surface = πDH + 2×π(D/2)² = π×15×12 + 2×π×7.5² = 919 m²
    U = 0.4 W/m²·K, ΔT = 35-10 = 25°C (winter)
    Q_loss = 0.4 × 919 × 25 × 24 × 3600 / 1,000,000 = 796 MJ/d = 221 kWh/d
    
    Total heat required = 2,322 + 221 = 2,543 kWh/d
    Boiler capacity (peak): 2,543/20 = 127 kW + 30% safety = 165 kW
  6. Estimate Biogas Production

    VS destroyed = 4,000 × 0.50 = 2,000 kg/d
    Biogas yield = 0.9 m³/kg VS (mixed sludge)
    Q_biogas = 2,000 × 0.9 = 1,800 m³/d @ 65% CH₄
    Energy = 1,800 × 6.5 = 11,700 kWh/d
    
    CHP efficiency: 35% electric, 45% heat
    Electricity: 11,700 × 0.35 = 4,095 kWh/d
    Heat recovered: 11,700 × 0.45 = 5,265 kWh/d
    
    Net heat balance: 5,265 - 2,543 = +2,722 kWh/d surplus!
    (Available for plant heating or export)

Typical Design Values ​

Sludge TypeOLR (kg VS/m³·d)SRT (d)VS Dest (%)Biogas (m³/kg VS)Temp (°C)
Primary only2.0-3.515-2050-601.0-1.235-38
WAS only1.2-2.018-2535-450.7-0.935-38
Mixed (50/50)1.6-2.815-2045-550.85-1.035-38
THP + Mixed3.0-6.012-1555-651.0-1.235-38

Performance Criteria ​

VS Destruction Targets ​

ConfigurationSRT (d)VS Destruction (%)Notes
Conventional15-1840-50Standard design
Conventional (long SRT)20-2550-55Improved stabilization
High-rate (THP)12-1555-65Requires pretreatment
Two-stage2-3 + 15-1850-60Acid + gas phase

Biogas Quality ​

ParameterTypical RangeNotes
CH₄60-70%Primary-rich: higher; WAS-rich: lower
CO₂30-40%Balance to CH₄
H₂S500-3000 ppmDepends on sulfate in feed
H₂OSaturatedCondense before use
Temperature35°CAt production

Energy Balance (Typical) ​

For 50,000 PE WWTP (≈2,500 kg VS/d):

  • Biogas: 2,200 m³/d @ 65% CH₄
  • Gross energy: 14,300 kWh/d
  • CHP output: 5,000 kWh electric + 6,400 kWh heat
  • Heat demand: 1,600 kWh/d (digester) + 800 kWh/d (buildings)
  • Net: 5,000 kWh/d electric + 4,000 kWh/d heat surplus
  • Plant consumption: ~8,000 kWh/d total
  • Biogas covers 60-70% of plant power needs

Troubleshooting ​

IssueCauseSolution
Low biogas productionLow VS destructionCheck SRT, temperature, mixing
Toxic/inhibitory compoundsReduce loading, identify source
Poor mixingIncrease mixing intensity, check dead zones
Temperature dropCheck heating system, insulation
VFA accumulationOrganic overloadReduce feed rate, check OLR
pH drop (<6.8)Add alkalinity (lime, caustic)
Ammonia inhibitionDilute, reduce protein-rich feeds
Temperature shockGradual temp changes only
FoamingHigh F/M, surfactantsAnti-foam spray, reduce loading
Sudden loading increaseGradual feed ramping
Grease/fat accumulationSkim, reduce FOG input
High H₂SSulfate in feedReduce industrial contribution
Low pHIncrease alkalinity
Use for desulfurization: Biogas scrubber, iron dosing
Poor VS destructionLow SRTIncrease SRT to 18-20d
Cold temperatureIncrease to 35-37°C
Poor biodegradabilityTHP pretreatment, longer SRT
StratificationPoor mixingIncrease mixing power, add mixers
Temperature gradientImprove heat distribution
Grit/sand accumulationDesludge, improve grit removal
Odor from digestateIncomplete digestionCheck SRT, VS destruction
Septicity developingMinimize storage time

Operation & Maintenance ​

Daily Checks ​

  • Gas production rate (flow meter)
  • Digester temperature (multiple points)
  • Feed flow rate
  • Gas pressure (maintain slight positive)
  • Mixing system operation
  • Visual inspection for foam
  • Review VFA if online analyzer available

Weekly Maintenance ​

  • Sample digestate for TS, VS, pH, alkalinity
  • Check heating system operation
  • Inspect gas piping for condensate
  • Verify flame arrestors clear
  • Review biogas composition (CH₄, CO₂, H₂S)
  • Check pressure relief valves

Monthly Tasks ​

  • Full digestate characterization (TS, VS, TKN, TP, metals)
  • Inspect mixing equipment
  • Calibrate gas flow meters
  • Check heat exchanger efficiency
  • Inspect foam breakers/spray system
  • Review VS destruction calculation

Annual Tasks ​

  • Internal inspection (drain required, or ROV)
  • Grit/sand desludging if needed
  • Heating coil descaling
  • Gas storage membrane inspection
  • Full instrumentation calibration
  • Energy audit (heat balance verification)
  • Mixing system overhaul

Advanced Features (ADM1 Mode) ​

Anaerobic Digestion Model No. 1 ​

ADM1 provides mechanistic modeling of digestion:

Process Steps:

  1. Disintegration (particulate → soluble)
  2. Hydrolysis (polymers → monomers)
  3. Acidogenesis (monomers → VFA + H₂)
  4. Acetogenesis (VFA → acetate + H₂)
  5. Methanogenesis (acetate/H₂ → CH₄)

Key Benefits:

  • Predicts biogas composition (CH₄/CO₂ ratio)
  • VFA accumulation and pH dynamics
  • Inhibition (ammonia, H₂S, pH)
  • Temperature effects on all kinetic steps
  • Startup optimization
  • Troubleshooting (diagnose VFA accumulation cause)

Inputs Required:

  • Feed characterization: Carbohydrates, proteins, lipids, inerts
  • Cation/anion content (for pH buffering)
  • Temperature profile
  • Mixing regime

Outputs:

  • Dynamic biogas flow and composition
  • pH, VFA species (acetate, propionate, butyrate)
  • Ammonia, sulfide concentrations
  • Optimal OLR for stable operation

Co-Digestion ​

Adding external organics:

Co-substrateVS (%)Biogas (m³/kg VS)BenefitLimitation
Food waste20-300.8-1.2+50-100% biogasPermits, quality control
Fats, oils, grease (FOG)80-951.2-1.8+200-300% biogasInhibition risk, mixing
Agricultural waste15-300.6-0.9+30-60% biogasFiber content, C/N ratio
Brewery waste5-100.7-1.0+20-40% biogasVolume, BOD spike

Design considerations:

  • Permits for waste acceptance
  • Quality control (no contaminants)
  • Separate receiving/storage
  • Pasteurization may be required (ABP regulations)
  • Monitor ammonia (high-protein wastes)

Worked Example ​

Given ​

  • WWTP: 50,000 PE
  • Primary sludge: 1,500 kg VS/d @ 5% VS
  • WAS: 1,000 kg VS/d @ 3% VS
  • Combined: 2,500 kg VS/d
  • Feed temperature: 15°C (winter)
  • Target: 35°C, 18d SRT

Solution ​

Step 1: Calculate volume

Use OLR = 2.0 kg VS/m³·d
V = 2,500/2.0 = 1,250 m³ (active)
Add 20% for gas/freeboard: 1,500 m³ total
Use 2 × 800 m³ digesters (1,600 m³ total)

Verify SRT:
Assuming 2% VS in digester (after 50% destruction):
Mass in digester = 1,600 × 20 = 32,000 kg VS
SRT = 32,000/2,500 = 12.8 days ✗ (too low)

Revise to 3 × 800 m³ = 2,400 m³:
Mass = 2,400 × 20 = 48,000 kg VS
SRT = 48,000/2,500 = 19.2 days ✓

Step 2: Biogas production

VS destruction: 2,500 × 0.50 = 1,250 kg/d
Biogas yield: 0.9 m³/kg VS
Q_biogas = 1,250 × 0.9 = 1,125 m³/d @ 65% CH₄
Q_CH4 = 1,125 × 0.65 = 731 m³/d
Energy = 1,125 × 6.5 = 7,313 kWh/d

Step 3: Heat requirement

Feed: (1,500/50 + 1,000/30) = 63 m³/d @ 15°C
Sensible: 63 × 1000 × 4.18 × (35-15) / (3600 × 1000) = 1,464 kWh/d

Surface area (3 × 10m D × 10m H):
A = 3 × (π×10×10 + 2×π×5²) = 1,099 m²
Heat loss (U=0.4, ΔT=25°C):
Q_loss = 0.4 × 1,099 × 25 × 24 / 1000 = 263 kWh/d

Total heat: 1,464 + 263 = 1,727 kWh/d

Step 4: CHP sizing

CHP input: 7,313 kWh/d biogas
Electric output (35%): 2,560 kWh/d (107 kW avg)
Heat output (45%): 3,291 kWh/d
Heat surplus: 3,291 - 1,727 = 1,564 kWh/d ✓

Use 150 kWe CHP (allows for peaks)

Step 5: Economic benefit

Electricity: 2,560 kWh/d × £0.15/kWh × 365 = £140,000/year
Heat (displaced gas): 1,564 kWh/d × £0.08/kWh × 365 = £45,600/year (export or plant use)
Total annual benefit: £185,600/year

Capital cost: £2-3M for digestion + CHP
Simple payback: 11-16 years
With RHI/incentives: 7-10 years

References ​

  1. WEF (2018). Design of Municipal Wastewater Treatment Plants, MOP 8, 6th Ed., Ch. 18.
  2. Metcalf & Eddy (2014). Wastewater Engineering, 5th Ed., pp. 1635-1695.
  3. Batstone, D.J. et al. (2002). "Anaerobic Digestion Model No. 1 (ADM1)." Water Science & Technology, 45(10), 65-73.
  4. Appels, L. et al. (2008). "Principles and potential of the anaerobic digestion of waste-activated sludge." Progress in Energy and Combustion Science, 34(6), 755-781.
  5. UK Water Industry Research (2013). Optimizing Biogas Production from Anaerobic Digestion.
  6. CIWEM (2013). Sewage Sludge: Anaerobic Digestion, Manual of Practice.
  7. EU (2001). Working Document on Sludge, 3rd Draft.