Water and Wastewater Treatment

Learning Objectives

  • Describe the standard sequence of drinking water treatment.
  • Explain the chemistry of coagulation and the physics of sedimentation.
  • Understand filtration hydraulics and disinfection kinetics.
  • Outline the stages of wastewater treatment and activated sludge kinetics.

The engineering processes used to make water safe for human consumption and to clean wastewater before environmental discharge.

Introduction to Treatment Operations

The treatment of water and wastewater relies on a sequence of distinct, engineered steps called unit operations (physical forces) and unit processes (chemical and biological reactions). While drinking water treatment focuses on removing low-level contaminants (like turbidity and pathogens) to protect public health, wastewater treatment focuses on removing massive quantities of organic matter and nutrients to protect the environment.

Drinking Water Treatment

The standard sequence of physical and chemical purification steps

Surface Water vs Groundwater

Surface water (from rivers or lakes) typically requires more extensive treatment than groundwater because it is exposed to the atmosphere and surface runoff, resulting in higher turbidity, organic matter, and microbial contamination. The standard sequence for a conventional surface water treatment plant is as follows:

Standard Treatment Sequence

1. Coagulation and Flocculation: Raw water contains tiny, negatively charged particles (colloids) that repel each other and will not settle. A chemical coagulant, such as alum Al2(SO4)3Al_2(SO_4)_3, is rapidly mixed in to neutralize these charges. Slow mixing then causes the neutralized particles to collide and stick together, forming larger, heavier flocs.

2. Sedimentation (Clarification): The water flows slowly through a large basin. Gravity causes the heavy flocs to settle to the bottom as sludge, which is periodically removed. The clarified water exits over weirs at the top.

3. Filtration: The clarified water passes through beds of porous media, typically sand and anthracite coal. This traps remaining fine particles and some pathogens that did not settle in the clarifier. The filters must be periodically backwashed to clean them.

4. Disinfection: The final step ensures pathogenic organisms are destroyed. Chlorine is the most common disinfectant because it leaves a residual in the pipes to prevent recontamination. Alternatives include ozone O3O_3 and ultraviolet light, though they provide no residual protection.

Coagulation Chemistry

The mechanisms of colloidal destabilization

Colloidal Charges

Colloidal particles in natural waters (like clays, silts, and organic matter) generally carry a negative surface charge. This charge creates electrostatic repulsion, preventing the particles from aggregating. Coagulation is the chemical process of overcoming this repulsion.

Destabilization Mechanisms

  • Double Layer Compression: Adding high concentrations of electrolytes (salts) shrinks the electrical layer surrounding the colloid, allowing particles to get close enough for attractive van der Waals forces to take over.
  • Charge Neutralization: Adding highly positively charged ions, such as Al3+Al^{3+} from alum or Fe3+Fe^{3+} from ferric chloride, directly neutralizes the negative surface charge of the colloids.
  • Sweep Coagulation: Adding excess coagulant forms massive, voluminous hydroxide precipitates, such as Al(OH)3Al(OH)_3. As these heavy precipitates settle, they physically sweep up and entrap smaller colloidal particles.
  • Interparticle Bridging: Long-chain synthetic polymers (polyelectrolytes) attach to multiple colloids simultaneously, physically binding them into a large matrix.

The Physics of Sedimentation

Designing clarifiers based on particle settling velocity

Clarifier Design Fundamentals

The design of a sedimentation basin (clarifier) is fundamentally based on how fast particles fall through water. This is governed by Stokes' Law, which balances the gravitational force pulling the particle down against the buoyant force and fluid drag pushing it up.

Stokes' Law (Terminal Settling Velocity)

Calculates the velocity of a discrete, spherical particle settling in a quiescent fluid.

vs=g(ρpρw)d218μv_s = \frac{g (\rho_p - \rho_w) d^2}{18 \mu}

Variables

SymbolDescriptionUnit
vsv_sSettling velocitym/s
ggAcceleration due to gravitym/s2m/s^2
ρp\rho_pDensity of the particlekg/m3kg/m^3
ρw\rho_wDensity of the waterkg/m3kg/m^3
ddDiameter of the particlem
μ\muDynamic viscosity of the waterkg/(ms)orPaskg/(m \cdot s) or Pa \cdot s

Surface Overflow Rate (SOR)

The most critical design parameter for a clarifier, defined as the flow rate divided by the surface area of the basin. Particles with settling velocities greater than or equal to this rate will be 100% removed.

SOR=vc=QA\text{SOR} = v_c = \frac{Q}{A}

Variables

SymbolDescriptionUnit
SOR\text{SOR}Surface overflow rate (or critical settling velocity, v_c)m/s
QQFlow ratem3/sm^3/s
AASurface area of the basinm2m^2

Interactive Simulation

Use the simulations below to visualize a water treatment plant and explore particle settling in a sedimentation basin.

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Filtration Hydraulics

The flow of water through porous granular media

Head Loss in Filters

As water passes through a sand filter, the trapped particles cause the pores to clog, increasing the resistance to flow. This resistance is measured as Head Loss.

Carmen-Kozeny Equation

Relates the physical properties of the filter media (porosity, grain size) to the hydraulic head loss across a clean filter bed. As the filter clogs, porosity decreases, causing head loss to increase rapidly until a backwash is required.

hL=fLDpva2g1ϵϵ3h_L = f \cdot \frac{L}{D_p} \cdot \frac{v_a^2}{g} \cdot \frac{1 - \epsilon}{\epsilon^3}

Variables

SymbolDescriptionUnit
hLh_LHydraulic head lossm
ffFriction factorunitless
LLDepth of the filter bedm
DpD_pParticle diameterm
vav_aApproach velocity (filtration rate)m/s
ggAcceleration due to gravitym/s2m/s^2
ϵ\epsilonPorosity of the bedunitless

Disinfection Kinetics

Predicting the destruction of pathogens

Chemical Disinfection Effectiveness

The effectiveness of a chemical disinfectant (like chlorine) depends on its concentration and how long the water is exposed to it.

Chick-Watson Law

The fundamental kinetic model for chemical disinfection. It models the rate of pathogen destruction as a pseudo-first-order reaction.

Chick-Watson Law

Models the rate of pathogen destruction based on disinfectant concentration and contact time.

ln(NtN0)=kCnt\ln\left(\frac{N_t}{N_0}\right) = -k \cdot C^n \cdot t

Variables

SymbolDescriptionUnit
NtN_tNumber of surviving microorganisms at time tunitless
N0N_0Initial number of microorganismsunitless
kkLethality rate constantvaries
CCConcentration of the disinfectantmg/L
nnCoefficient of dilutionunitless
ttContact timeminutes

The CT Concept

Regulatory agencies heavily utilize the CT concept to ensure safe drinking water. CT is the product of the Disinfectant Concentration (CC) and the Contact Time (TT). For a given pathogen and log-removal target (e.g., 99.9% or 3-log removal of Giardia), the required CT value is constant. If you halve the chlorine concentration, you must double the contact time in the clearwell to achieve the same level of safety.

Wastewater Treatment

Stages of treating domestic and industrial sewage

Composition of Wastewater

Wastewater (sewage) from homes, commercial buildings, and industries contains exceptionally high levels of organic matter (measured as BOD/COD), excess nutrients (such as nitrogen and phosphorus), heavy metals, and pathogenic microorganisms. Untreated discharge can completely deplete oxygen in receiving waters (leading to fish kills) or spread waterborne diseases (like cholera or typhoid). The standard sequence of treatment involves physical, biological, and advanced unit processes to safely clean the water prior to reuse or environmental discharge.

Stages of Treatment

1. Primary Treatment: This physical process involves screening to remove large debris and primary clarifiers where heavier organic solids settle to the bottom as raw sludge while lighter materials such as grease float to the top.

2. Secondary Treatment: This biological process commonly uses activated sludge. Microorganisms are actively mixed with wastewater and supplied with air to consume dissolved organic matter. A secondary clarifier then separates the dense microbial mass from the clear, treated water.

3. Tertiary Treatment: This advanced process is used when the receiving water is highly sensitive. It focuses on removing nutrients such as nitrogen and phosphorus to prevent eutrophication, followed by final filtration and disinfection.

Food-to-Microorganism (F/M) Ratio

Balances the incoming organic load (BOD, food) against the mass of microorganisms (MLVSS) in the aeration tank.

F/M=Q0S0VX\text{F/M} = \frac{Q_0 \cdot S_0}{V \cdot X}

Variables

SymbolDescriptionUnit
F/M\text{F/M}Food-to-Microorganism ratioday1day^{-1}
Q0Q_0Influent flowm3/daym^3/day
S0S_0Influent BODmg/L
VVAeration tank volumem3m^3
XXMLVSS in aeration tankmg/L

Solids Retention Time (SRT)

The average time the microbial biomass stays in the system before being wasted, directly affecting the age and composition of the biological community.

SRT=VXQwXw+QeXe\text{SRT} = \frac{V \cdot X}{Q_w \cdot X_w + Q_e \cdot X_e}

Variables

SymbolDescriptionUnit
SRT\text{SRT}Solids retention timedays
VVAeration tank volumem3m^3
XXMLVSS in aeration tankmg/L
QwQ_wWaste sludge flowm3/daym^3/day
XwX_wMLVSS in waste sludgemg/L
QeQ_eEffluent flowm3/daym^3/day
XeX_eMLVSS in effluentmg/L

Trickling Filters

Alternative: Trickling Filters: Trickling filters are attached-growth processes where wastewater is sprayed over a bed of highly permeable media, such as rocks or plastic. Microorganisms form a biological film on the media, absorbing and digesting organic matter as the water trickles down.

Sludge Treatment and Disposal

Managing the solid byproducts of wastewater treatment

Sludge Management

Wastewater treatment generates massive volumes of semi-solid waste (sludge) that requires stabilization and volume reduction before disposal.

Sludge Treatment and Disposal

  1. Thickening: Reduce water content by gravity settling or flotation to decrease volume.
  2. Digestion (Aerobic or Anaerobic): Biologically stabilize organic matter. Anaerobic digestion produces biogas CH4CH_4, which can be captured for energy.
  3. Dewatering: Mechanically remove water using centrifuges or belt filter presses to create a manageable solid cake.
  4. Disposal: Use land application as fertilizer when uncontaminated, landfilling, or incineration.

Advanced Water and Wastewater Treatment

Tertiary treatment and specialized processes for high-quality effluent

Tertiary Treatment

  • Nutrient Removal: Biological or chemical processes remove nitrogen through nitrification/denitrification and phosphorus through chemical precipitation or enhanced biological phosphorus removal (EBPR).
  • Filtration: Sand filters or multimedia filters remove residual suspended solids.
  • Carbon Adsorption: Activated carbon removes recalcitrant organic compounds that cause taste, odor, or toxicity.

Membrane Processes

  • Microfiltration (MF) and Ultrafiltration (UF): Remove suspended solids, bacteria, and large macromolecules. These processes are often used as pretreatment for reverse osmosis.
  • Nanofiltration (NF): Removes multivalent ions, such as hardness-causing calcium and magnesium, and smaller organic molecules.
  • Reverse Osmosis (RO): Removes monovalent ions, such as sodium and chloride, and almost all other dissolved impurities. It requires high pressure to overcome osmotic pressure and is used extensively in desalination.

Summary

Key points on water and wastewater treatment

Key Takeaways
  • Drinking water treatment primarily removes turbidity and pathogens through coagulation, flocculation, sedimentation, filtration, and disinfection.
  • Coagulation neutralizes the electrical charge of colloidal particles through charge neutralization or sweep flocculation, allowing them to clump into heavier flocs.
  • Stokes' Law governs discrete particle settling. Larger, denser particles fall much faster.
  • Surface Overflow Rate (SOR) is the critical design parameter for clarifiers. Particles settling faster than the SOR are entirely removed.
  • The Carmen-Kozeny equation models hydraulic head loss through porous granular media filters.
  • Chick-Watson Law and the CT Concept govern the kinetics of disinfection and regulatory compliance.
  • Wastewater treatment uses physical processes for primary solids removal, biological processes for secondary BOD removal, and advanced processes for tertiary nutrient removal.
  • The F/M ratio and SRT are crucial parameters for controlling the growth and settling characteristics of the biological mass in the activated sludge process.