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Biofilters - PS211 Design Standards ​

Biofilters (trickling filters) are fixed-film biological treatment units where wastewater is distributed over a media bed, allowing microbial biofilms to oxidize organic matter and ammonia. They provide robust, low-energy secondary treatment.

UK PS211 Standards ​

Design Criteria ​

ParameterPS211 LimitUnitsNotes
BOD loading rate≤ 0.07kgBOD/m³/dVolumetric loading on media
Ammonia loading rate≤ 0.015kgN/m³/dVolumetric loading on media
Minimum wetting rate≥ 0.04m³/m²/hHydraulic loading (surface)
Maximum wetting rate≤ 0.75m³/m²/hHydraulic loading (surface)
Maximum BOD concentration≤ 130mg/LInfluent to biofilter
Maximum NH₃ concentration≤ 25mg/LInfluent to biofilter

Media Requirements ​

Media TypeSpecific Surface AreaVoid SpaceTypical Use
Random plastic80-120 m²/m³90-95%General purpose, low rate
Structured plastic100-150 m²/m³95-97%High rate, nitrification
Rock45-60 m²/m³40-50%Traditional, low rate

Typical selection:

  • Modern works: Structured plastic media (120-150 m²/m³)
  • Media depth: 2.0-3.0 m (plastic), 1.5-2.0 m (rock)

Design Equations ​

Geometry Calculations ​

Filter Surface Area (Plan View) ​

Circular filter:

A = π × (D/2)² = π × r²

Where:

  • A = surface area (m²)
  • D = diameter (m)
  • Typical: 10-30 m diameter

Media Volume ​

Formula:

V_media = A × h_media

Where:

  • V_media = media volume (m³)
  • h_media = media depth (m)
  • Typical depth: 2.0-3.0 m for plastic media

Total Media Surface Area ​

Formula:

A_media = V_media × SSA

Where:

  • A_media = total biological surface area (m²)
  • SSA = specific surface area of media (m²/m³)

Example:

V = 1,000 m³, SSA = 120 m²/m³
A_media = 1,000 × 120 = 120,000 m²

Loading Rate Calculations ​

BOD Volumetric Loading ​

Formula:

L_BOD = BOD_load / V_media

Where:

  • L_BOD = BOD loading rate (kgBOD/m³/d)
  • BOD_load = applied BOD load (kg/d)
  • V_media = media volume (m³)
  • PS211 limit: ≤ 0.07 kgBOD/m³/d

BOD load calculation:

BOD_load = (C_BOD × Q) / 1000

Where:

  • C_BOD = BOD concentration (mg/L)
  • Q = flow rate (m³/d)

Loading rate classification:

  • Low rate: 0.08-0.32 kgBOD/m³/d (traditional, 85-90% removal)
  • High rate: 0.32-1.0 kgBOD/m³/d (modern, 65-85% removal with recirculation)
  • PS211 limit: 0.07 kgBOD/m³/d (conservative, ensures nitrification)

Ammonia Volumetric Loading ​

Formula:

L_NH3 = NH3_load / V_media

Where:

  • L_NH3 = ammonia loading rate (kgN/m³/d)
  • NH3_load = applied ammonia load (kg/d)
  • PS211 limit: ≤ 0.015 kgN/m³/d

Ammonia load calculation:

NH3_load = (C_NH3 × Q) / 1000

Design notes:

  • Nitrification typically controls design (more restrictive than BOD)
  • Temperature correction required (see below)

Wetting Rate (Hydraulic Loading) ​

Formula:

W_rate = Q / A / 24

Where:

  • W_rate = wetting rate (m³/m²/h)
  • Q = applied flow rate including recirculation (m³/d)
  • A = plan surface area (m²)

PS211 range: 0.04-0.75 m³/m²/h

Purpose: Ensures adequate moisture distribution over media to prevent dry patches and maintain biofilm activity.


Recirculation Requirements ​

If influent flow alone produces wetting rate < 0.04 m³/m²/h, recirculation is required.

Recirculation Flow Required ​

Formula:

Q_total = W_min × A × 24
Q_recir = Q_total - Q_inf
R = Q_recir / Q_inf

Where:

  • W_min = minimum wetting rate (0.04 m³/m²/h)
  • Q_recir = recirculation flow (m³/d)
  • Q_inf = influent flow (m³/d)
  • R = recirculation ratio (dimensionless)

Typical recirculation ratios:

  • Low rate filters: 0-1
  • High rate filters: 1-4
  • Nitrifying filters: 2-4 (for dilution and wetting)

Applied BOD with Recirculation ​

Formula:

BOD_applied = BOD_inf / (1 + R × (1 - E))

Where:

  • E = fractional BOD removal (e.g., 0.85 for 85%)
  • Recirculation dilutes applied BOD concentration

Note: Recirculation improves performance by:

  • Maintaining minimum wetting rate
  • Diluting high-strength influent
  • Re-seeding with active biomass
  • Buffering shock loads

Temperature Correction ​

Biological activity is temperature-dependent. Use correction factor for non-standard temperatures.

Temperature Correction Factor ​

Formula:

k_T = k_20 × θ^(T - 20)

Where:

  • k_T = reaction rate at temperature T (°C)
  • k_20 = reaction rate at 20°C (baseline)
  • θ = temperature coefficient (typically 1.035 for biofilters)
  • T = operating temperature (°C)

Typical UK design temperatures:

  • Summer: 15-18°C
  • Winter: 8-12°C
  • Design basis: 10-12°C (conservative)

Impact on removal efficiency:

E_T = E_15 × θ^(T - 15)

Where:

  • E_15 = efficiency at 15°C (base case)
  • At 10°C: ~15% reduction in efficiency
  • At 20°C: ~18% increase in efficiency

Removal Efficiency ​

Base Efficiency (15°C, optimal loading) ​

ParameterRemoval (%)Notes
BOD85At loading ≤ 0.05 kgBOD/m³/d
NH₄-N85At loading ≤ 0.015 kgN/m³/d
TP5Minimal P removal (biomass uptake only)

Loading Rate Adjustment ​

High loading reduces efficiency:

If L_BOD > 0.05 kgBOD/m³/d:
  Adjustment = max(0.7, 1 - (L_BOD - 0.05) / 0.1)
  E_BOD = E_base × Adjustment

Example:

  • At 0.06 kgBOD/m³/d: E = 85% × 0.9 = 76.5%
  • At 0.07 kgBOD/m³/d: E = 85% × 0.8 = 68%

Effluent Quality ​

Formula:

C_eff = C_inf × (1 - E/100)
Load_eff = (C_eff × Q) / 1000

Typical effluent from biofilter:

  • BOD: 15-30 mg/L (after primary treatment influent ~150 mg/L)
  • NH₄-N: 3-8 mg/L (after primary influent ~35 mg/L)
  • TSS: 15-30 mg/L (sloughed biomass, requires humus tank)

Biomass Production ​

Biomass Yield ​

Formula:

Biomass_production = BOD_removed × Y

Where:

  • Biomass_production = excess biomass (kgSS/d)
  • BOD_removed = BOD oxidized (kg/d)
  • Y = yield coefficient (kgSS/kgBOD)

Typical yield for biofilters:

  • Y = 0.7 kgSS/kgBOD (higher than activated sludge due to fixed film)

Sloughed biomass: Biomass periodically sloughs from media and is captured in humus tanks as humus sludge.


Worked Example ​

Design Basis ​

  • Population: 5,000 PE
  • Flow (DWF): 600 m³/d
  • Primary effluent: BOD 150 mg/L, NH₄-N 30 mg/L
  • Design temperature: 12°C

Step 1: Calculate Applied Loads ​

BOD load:

BOD_load = (150 mg/L × 600 m³/d) / 1000 = 90 kgBOD/d

Ammonia load:

NH3_load = (30 mg/L × 600 m³/d) / 1000 = 18 kgN/d

Step 2: Size Media Volume ​

BOD-based sizing:

V_BOD = BOD_load / L_max
V_BOD = 90 / 0.07 = 1,286 m³

Ammonia-based sizing (controlling):

V_NH3 = NH3_load / L_max
V_NH3 = 18 / 0.015 = 1,200 m³

Select: V = 1,300 m³ (ammonia controls, add 8% margin)

Step 3: Determine Filter Configuration ​

Try 2 filters, D = 20 m each:

A_per_filter = π × (20/2)² = 314.2 m²
A_total = 314.2 × 2 = 628.3 m²

Media depth required:
h = V / A_total = 1300 / 628.3 = 2.07 m

Select h = 2.5 m (provides extra volume)
V_actual = 628.3 × 2.5 = 1,570.8 m³

Step 4: Check Loading Rates ​

BOD loading:

L_BOD = 90 / 1570.8 = 0.057 kgBOD/m³/d ✓
(Below 0.07 limit)

Ammonia loading:

L_NH3 = 18 / 1570.8 = 0.011 kgN/m³/d ✓
(Below 0.015 limit)

Step 5: Check Wetting Rate ​

Without recirculation:

W_rate = 600 / 628.3 / 24 = 0.040 m³/m²/h ✓
(Just meets 0.04 minimum)

Recommendation: Add recirculation for operational flexibility.

With R = 2:

Q_total = 600 + (2 × 600) = 1,800 m³/d
W_rate = 1800 / 628.3 / 24 = 0.119 m³/m²/h ✓
(Within 0.04-0.75 range, good operating point)

Step 6: Calculate Removal Efficiency ​

Temperature correction (12°C):

θ = 1.035
T = 12°C
Factor = 1.035^(12 - 15) = 1.035^(-3) = 0.90

BOD removal (at 0.057 loading):

E_base = 85% (15°C, good loading)
E_12C = 85 × 0.90 = 76.5%

Ammonia removal:

E_base = 85% (15°C, good loading)
E_12C = 85 × 0.90 = 76.5%

Step 7: Calculate Effluent Quality ​

BOD:

C_eff = 150 × (1 - 0.765) = 35.3 mg/L
Load_eff = (35.3 × 600) / 1000 = 21.2 kgBOD/d

Ammonia:

C_eff = 30 × (1 - 0.765) = 7.1 mg/L (before humus tank)
Load_eff = (7.1 × 600) / 1000 = 4.3 kgN/d

Note: Humus tank provides additional polishing (15-25% further BOD/NH₃ removal).

Step 8: Calculate Biomass Production ​

BOD removed:

BOD_removed = 90 - 21.2 = 68.8 kgBOD/d

Biomass production:

Biomass = 68.8 × 0.7 = 48.2 kgSS/d

This biomass sloughs and is captured in humus tanks.

Design Summary ​

ParameterValueCompliance
Configuration2 × 20 m diameter
Media depth2.5 m
Media volume1,571 m³
Media typeStructured plastic, 120 m²/m³
BOD loading0.057 kgBOD/m³/d✓ < 0.07
NH₃ loading0.011 kgN/m³/d✓ < 0.015
Wetting rate (no recirc)0.040 m³/m²/h✓ = 0.04 min
Recirculation ratio2:1Recommended
Wetting rate (with recirc)0.119 m³/m²/h✓ within range
BOD removal77% @ 12°C
NH₃ removal77% @ 12°C
Biomass production48.2 kgSS/d

UK Water Company Variations ​

UK Industry Practice ​

  • Prefer structured plastic media (120-150 m²/m³)
  • Minimum 2 filters for N-1 redundancy
  • Recirculation ratio 2-3:1 standard
  • Design temperature: 10°C (conservative)

UK Industry Practice ​

  • BOD loading: 0.05 kgBOD/m³/d preferred (more conservative)
  • Media depth: 2.5-3.0 m typical
  • Forced ventilation common for larger works

UK Industry Practice ​

  • NH₃ loading controls in sensitive catchments
  • Temperature correction mandatory
  • Covered filters for odor control in urban areas

Distribution Systems ​

Rotary Distributors ​

Design parameters:

  • Rotation speed: 0.5-2 rpm (adjustable)
  • Dosing interval: 30-120 seconds per point
  • Arm spacing: 4 or 6 arms typical

Advantages:

  • Simple, reliable (gravity-driven)
  • Self-adjusting to flow variations
  • No external power required

Limitations:

  • Minimum flow for rotation (~10-15% of design)
  • Requires elevated inlet (1-2 m head)

Fixed Spray Nozzles ​

Design parameters:

  • Nozzle spacing: 1.5-2.5 m grid
  • Operating pressure: 0.5-2.0 bar
  • Spray pattern: 90-180° cone

Advantages:

  • Even distribution at all flows
  • No moving parts on media
  • Suitable for rectangular filters

Limitations:

  • Requires pumping (energy cost)
  • Nozzle clogging potential (needs screening)

Ventilation ​

Adequate oxygen supply is critical for aerobic oxidation.

Natural Ventilation ​

Design:

  • Open underdrains with cross-flow ventilation
  • Inlet/outlet ventilation ports in tank walls
  • Minimum 50% void space in media

Oxygen demand:

O2_demand = 1.5 × BOD_removed + 4.6 × NH3_oxidized

Where:

  • BOD oxidation: 1.5 kg O₂/kg BOD
  • Nitrification: 4.6 kg O₂/kg NH₄-N

Example:

BOD_removed = 68.8 kg/d
NH3_oxidized = 13.7 kg/d
O2_demand = 1.5 × 68.8 + 4.6 × 13.7 = 166.2 kg O₂/d

Forced Ventilation ​

Required when:

  • Media depth > 3 m
  • High loading rates (> 0.05 kgBOD/m³/d)
  • Enclosed/covered filters
  • Ammonia effluent > 5 mg/L indicates oxygen limitation

Fan sizing:

  • Air flow: 0.3-1.0 m³ air/m³ media/min
  • Typical: 0.5 m³/m³/min for nitrifying filters

Common Design Issues ​

Insufficient Wetting Rate ​

Problem: Dry patches on media, reduced performance, odors.

Solution:

  • Increase recirculation ratio (typically 2-3:1)
  • Check distributor rotation speed
  • Verify distributor arms not blocked

Ponding ​

Problem: Flooding of media surface, anaerobic conditions.

Causes:

  • Excessive loading (> 0.10 kgBOD/m³/d)
  • Plugged media (biomass or debris)
  • Inadequate ventilation

Solutions:

  • Reduce loading rate or add media volume
  • Increase recirculation to dilute
  • High-pressure washing to clear media
  • Install forced ventilation

Poor Nitrification ​

Problem: High effluent NH₄-N.

Causes:

  • Ammonia loading > 0.015 kgN/m³/d
  • Low temperature (< 10°C)
  • Oxygen limitation
  • Low pH (< 7.0)

Solutions:

  • Increase media volume
  • Add forced ventilation
  • Check alkalinity (nitrification consumes alkalinity)
  • Warm weather will improve (seasonal variation expected)

Odor Issues ​

Problem: H₂S odors from anaerobic zones.

Solutions:

  • Improve ventilation (natural or forced)
  • Reduce loading rate
  • Cover filters with odor treatment (biofilter/scrubber)
  • Add ferric chloride to primary tank (controls H₂S)


References ​

  • UK Sewers for Adoption (7th Edition): Appendix PS211 - Biological Filters
  • UK operator Design Standards: Biofilter design criteria
  • WRc/CIRIA: Trickling filter design and operation

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