Urban hydrology

8. Urban hydrology#

In this chapter, we will dive deeper into the hydrological and meteorological processes that dominate the water balance in the urban environment. In alignment with the previous chapters, we will first look at the physical processes themselves, followed by a discussion on urban hydrological metrology. Finally, we will explore modeling approaches to urban hydrology.

Nomenclature

Symbol

Quantity

Quantity name in Dutch

Dimension

Widely used unit (if not SI)

\(A\)

Connected area

Aangesloten gebied

[L\(^2\)]

\(A\)

Impervious area

Ondoorlatend oppervlak

[L\(^2\)]

\(A_i\)

Area of the \(i^{th}\) sub-catchment

Oppervlakte van het \(i^{de}\) deelstroomgebied

[L\(^2\)]

\(C\)

Groundwater seeping into the soil layer

Grondwater dat in de bodemlaag sijpelt

[L\(^3\)/T]

\(c_{air}\)

Celerity of sound in air

Snelheid van geluid in lucht

[L/T]

\(C_d\)

Calibration constant

Kalibratieconstante

[-]

\(c_i\)

Coefficient determining the amount of flow going through the \(i^{th}\) flux

Coëfficiënt die bepaalt hoeveel stroom door de \(i^{de}\) flux gaat

[-]

\(c_i\)

Runoff coefficient of the \(i^{th}\) sub-catchment

Afvoercoëfficiënt van het \(i^{de}\) deelstroomgebied

[-]

\(c_r\)

Runoff coefficient

Afvoercoëfficiënt

[-]

\(d\)

Depression storage

Depressie-opslag

[L]

\(dS\)

Change in stored volume

Verandering in opgeslagen volume

[L\(^3\)]

\(dS_{sw}\)

Change in volume stored in the drainage network

Verandering in volume opgeslagen in het rioleringsnetwerk

[L\(^3\)]

\(dh\)

Head of water driving the horizontal flow

Waterdruk die de horizontale stroming aandrijft

[L]

\(dt\)

Time interval / Modeling timestep

Tijdsinterval / Modelleerstap

[T]

\(E_S\)

Soil evaporation from pervious surfaces

Bodemverdamping van doorlatende oppervlakken

[L\(^3\)/T]

\(E_T\)

Transpiration from vegetation

Transpiratie van vegetatie

[L\(^3\)/T]

\(E_o\)

Free water evaporation

Vrije waterverdamping

[L\(^3\)/T]

\(E_t\)

Evaporation from the area

Verdamping uit het gebied

[L\(^3\)/T]

\(g\)

Gravitational acceleration

Zwaartekrachtversnelling

[L/T\(^2\)]

\(h_0\)

Length between the sensor and the invert of the pipe

Lengte tussen de sensor en de onderkant van de pijp

[L]

\(i\)

Rainfall for the given time period

Neerslag in de gegeven periode

[L/T]

\(I_d\)

Outward flux into the groundwater (exfiltration)

Uitgaande flux naar het grondwater (exfiltratie)

[L\(^3\)/T]

\(I_e\)

Groundwater inflow into the UDS

Grondwaterinstroom in het UDS

[L\(^3\)/T]

\(k_1\)

Surface type coefficient

Oppervlaktetypecoëfficiënt

[L]

\(k\)

Saturated hydraulic conductivity

Verzadigde hydraulische geleidbaarheid

[L/T]

\(k(\theta)\)

Hydraulic conductivity corresponding to the soil moisture content

Hydraulische geleidbaarheid afhankelijk van bodemvochtgehalte

[L/T]

\(L\)

Infiltration of water into the ground

Infiltratie van water in de bodem

[L\(^3\)/T]

\(P\)

Precipitation

Neerslag

[L\(^3\)/T]

\(Q\)

Discharge

Afvoer

[L\(^3\)/T]

\(Q_c\)

Wastewater production into the combined sewer

Afvalwaterproductie in het gemengde riool

[L\(^3\)/T]

\(Q_{cso}\)

Outward flux through the combined sewer overflow (CSO)

Uitgaande flux via de overstort

[L\(^3\)/T]

\(Q_{cso, max}\)

Maximum CSO rate

Maximale overstortafvoer

[L\(^3\)/T]

\(Q_d\)

Outward flux (influent to treatment, CSO, flooding)

Uitgaande flux (influent naar behandeling, overstort, overstroming)

[L\(^3\)/T]

\(Q_{flood}\)

Outward flux due to flooding

Uitgaande flux door overstroming

[L\(^3\)/T]

\(Q_g\)

Inward flux from the groundwater

Instroomflux vanuit het grondwater

[L\(^3\)/T]

\(Q_i\)

Leakage from the drinking water network

Lekverliezen uit het drinkwaternetwerk

[L\(^3\)/T]

\(Q_{i, max}\)

Maximum capacity of the relevant flux

Maximale capaciteit van de betreffende flux

[L\(^3\)/T]

\(Q_{in}\)

Inward flux to the given storage

Instroomflux naar de gegeven opslag

[L\(^3\)/T]

\(Q_{max}\)

Peak outflow of a catchment

Piekafvoer van een stroomgebied

[L\(^3\)/T]

\(Q_out\)

Outward flux from the given storage

Uitstroomflux uit de gegeven opslag

[L\(^3\)/T]

\(Q_p\)

Runoff from pervious areas

Afvoer uit doorlatende gebieden

[L\(^3\)/T]

\(Q_{pump}\)

Maximum pumping capacity

Maximale pompcapaciteit

[L\(^3\)/T]

\(Q_s\)

Runoff from impervious areas (roofs and roads, through gully pots and roof gullies)

Afvoer van ondoorlatende oppervlakken (daken en wegen, via straatkolken en dakafvoeren)

[L\(^3\)/T]

\(Q_t\)

Relevant outflow at timestep \(t\)

Relevante uitstroom op tijdstap \(t\)

[L\(^3\)/T]

\(Q_{total,in}\)

Sum of all inward fluxes

Som van alle instromende fluxen

[L\(^3\)/T]

\(Q_{total,out}\)

Sum of all outward fluxes

Som van alle uitstromende fluxen

[L\(^3\)/T]

\(Q_{wwtp}\)

Outward flux towards the treatment plant

Uitgaande flux naar de waterzuiveringsinstallatie

[L\(^3\)/T]

\(q_z\)

Hydraulic conductivity corresponding to the soil moisture content

Verticale stroming positief voor opwaartse stroming

[L/T]

\(R\)

Deep infiltration into the groundwater

Diepe infiltratie in het grondwater

[L\(^3\)/T]

\(S\)

Storage

Opslag

[L\(^3\)]

\(s\)

Surface slope

Oppervlaktehelling

[-]

\(S_{s,per}\)

Amount of water stored on the pervious surface available for infiltration

Hoeveelheid water opgeslagen op het doorlatende oppervlak beschikbaar voor infiltratie

[L\(^3\)]

\(S_{sw}\)

Storage volume in the UDS

Opslagvolume in het stedelijk afwateringssysteem

[L\(^3\)]

\(S_{sw, max}\)

Maximum storage capacity of the UDS

Maximale opslagcapaciteit van het stedelijk afwateringssysteem

[L\(^3\)]

\(\tau\)

Measured time between the sent and received pulse

Gemeten tijd tussen het verzonden en ontvangen signaal

[T]

\(\theta\)

Soil moisture content

Bodemvochtgehalte

[-]

\(\theta_{notch}\)

Angle of the v-notch

Hoek van de v-kering

[rad]

Note

In this section, we will consider volumes [\(\mathrm{L^3}\)] expressed in mm (N.B. usually [\(\mathrm{L}\)]). This is a normalization method that allows for the inter-catchment comparison of sizes. When a sewer network, for example, has a storage capacity expressed as 10 mm, this is a volume that equates to 10 mm multiplied by the urban area (usually expressed in ha [= 10,000 m²]), leading to a volume in [\(\mathrm{L^3}\)].