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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
| Parameter | PS211 Limit | Units | Notes |
|---|---|---|---|
| BOD loading rate | ≤ 0.07 | kgBOD/m³/d | Volumetric loading on media |
| Ammonia loading rate | ≤ 0.015 | kgN/m³/d | Volumetric loading on media |
| Minimum wetting rate | ≥ 0.04 | m³/m²/h | Hydraulic loading (surface) |
| Maximum wetting rate | ≤ 0.75 | m³/m²/h | Hydraulic loading (surface) |
| Maximum BOD concentration | ≤ 130 | mg/L | Influent to biofilter |
| Maximum NH₃ concentration | ≤ 25 | mg/L | Influent to biofilter |
Media Requirements
| Media Type | Specific Surface Area | Void Space | Typical Use |
|---|---|---|---|
| Random plastic | 80-120 m²/m³ | 90-95% | General purpose, low rate |
| Structured plastic | 100-150 m²/m³ | 95-97% | High rate, nitrification |
| Rock | 45-60 m²/m³ | 40-50% | 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 × r²Where:
A= surface area (m²)D= diameter (m)- Typical: 10-30 m diameter
Media Volume
Formula:
V_media = A × h_mediaWhere:
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 × SSAWhere:
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 m²Loading Rate Calculations
BOD Volumetric Loading
Formula:
L_BOD = BOD_load / V_mediaWhere:
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) / 1000Where:
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_mediaWhere:
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) / 1000Design notes:
- Nitrification typically controls design (more restrictive than BOD)
- Temperature correction required (see below)
Wetting Rate (Hydraulic Loading)
Formula:
W_rate = Q / A / 24Where:
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_infWhere:
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)
| Parameter | Removal (%) | Notes |
|---|---|---|
| BOD | 85 | At loading ≤ 0.05 kgBOD/m³/d |
| NH₄-N | 85 | At loading ≤ 0.015 kgN/m³/d |
| TP | 5 | Minimal 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 × AdjustmentExample:
- 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) / 1000Typical 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 × YWhere:
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/dAmmonia load:
NH3_load = (30 mg/L × 600 m³/d) / 1000 = 18 kgN/dStep 2: Size Media Volume
BOD-based sizing:
V_BOD = BOD_load / L_max
V_BOD = 90 / 0.07 = 1,286 m³Ammonia-based sizing (controlling):
V_NH3 = NH3_load / L_max
V_NH3 = 18 / 0.015 = 1,200 m³Select: 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 m³Step 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) = 0.90BOD 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/dAmmonia:
C_eff = 30 × (1 - 0.765) = 7.1 mg/L (before humus tank)
Load_eff = (7.1 × 600) / 1000 = 4.3 kgN/dNote: 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/dBiomass production:
Biomass = 68.8 × 0.7 = 48.2 kgSS/dThis biomass sloughs and is captured in humus tanks.
Design Summary
| Parameter | Value | Compliance |
|---|---|---|
| Configuration | 2 × 20 m diameter | |
| Media depth | 2.5 m | |
| Media volume | 1,571 m³ | |
| Media type | Structured plastic, 120 m²/m³ | |
| BOD loading | 0.057 kgBOD/m³/d | ✓ < 0.07 |
| NH₃ loading | 0.011 kgN/m³/d | ✓ < 0.015 |
| Wetting rate (no recirc) | 0.040 m³/m²/h | ✓ = 0.04 min |
| Recirculation ratio | 2:1 | Recommended |
| Wetting rate (with recirc) | 0.119 m³/m²/h | ✓ within range |
| BOD removal | 77% @ 12°C | |
| NH₃ removal | 77% @ 12°C | |
| Biomass production | 48.2 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_oxidizedWhere:
- 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/dForced 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)
Related Calculations
- Primary Tanks: Pre-treatment before biofilter
- Humus Tanks: Post-biofilter settling
- Alkalinity Balance: Nitrification alkalinity consumption
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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