September 2009

Volume-Based Hydrology

Examining the shift in focus from peak flows and pollution treatment to mimicking predevelopment volumes

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Photo: @iStockphoto.com/NevinGiesbrecht

By Andrew J. Reese

6 Comments


You may have noticed that each of the issues in the previous section seemed to refer to a different consideration of the amount of rainfall—to the size of the storm. This is a key in our consideration and was recognized early on in the framing of some leading stormwater manuals.

Not all stormwater is created equal. As the depth of rainfall increases from trace amounts to a real frog strangler, the runoff has different impacts, treatments, and potentially beneficial uses. Figure 1 illustrates this concept. As more and more rain falls, our design concern shifts from infiltration/volume reduction, to pollution reduction, to erosion reduction, to flooding reduction, to floodplain management. In each of these five levels of stormwater management, there is a way to nudge treatment of stormwater toward VBH.

Such a framework is not new and has been described in various forms. For example, British Columbia has the Integrated Stormwater Management Planning process (BCMWLAP 2002). Chesapeake Bay has the Baywide Runoff Reduction Method (Schueler 2008). Malmö, Sweden, has adopted a similar framework in the last eight to 10 years (Stahre 2008). Pennsylvania has gone to a form of it in its recent design manual. Australia has been growing in its use of a version called water sensitive urban design (WSUD) for the past 10 to 15 years (Goyen et al. 2002).

Let’s discuss each of the five in turn, with a pause after the first three—which are often considered as a group in design situations. In order to make the discussion of these different concerns comparable, let’s talk in terms of watershed-inches of volume and use an example from “America’s Heartland” (in keeping with the trend to make all pronouncements from mid-America): Anytown, KS. Anytown has very flat topography but with highly erodible soils, so it is perfect for our needs. It also has a high water table in places and numerous excavated lakes, which complicates things somewhat—so let’s ignore that part of reality for now.

VBH Objective 1: Infiltrated Flows. The initial rainfall depth is primarily either captured as initial abstraction (or on purpose for reuse), evapotranspired, or infiltrated. Infiltration may continue throughout the storm or may peter out as soil saturation is reached. The natural infiltration depth varies with many factors such as rainfall intensity, the number of surface depressions or roughness of the surface, forest litter depth, vegetative cover, soil type and “fluff,” moisture content, layering within the soil complex, surface land use, slope, and climate.

Much of this infiltration returns to the stream over the hours and days after a rainfall event, appearing as the base-flow recession curve (the long tail) on a storm hydrograph—keeping the stream alive through dry periods. Some enters the groundwater table and serves as a source of drinking water and can feeds springs miles and centuries away.

Most locales that have begun to require infiltration of a certain rainfall depth have chosen a volume/depth such as runoff from the first inch of rainfall, first inch of runoff from directly connected impervious areas, a recharge factor tied to hydrologic soil group (HSG) and predevelopment land use, or a depth tied to average annual predevelopment infiltration. New Jersey has developed a complex spreadsheet approach (NJDEP 2004). Georgia has recently published the Coastal Supplement to the Georgia Stormwater Management Manual (ARC 2009). It requires infiltration of runoff from the first 1.2 inches of rainfall, the depth the rest of the state treats with stormwater controls.

Calculation of infiltration can be frustrating without data ... or with data. It is both a flow and a mass balance problem with lots of the data missing or only roughly estimated, especially if you try it on more than a single site basis. The ability of the runoff to enter the soil is a function of both the surface entry rate and the eventual rate of the slowest infiltrating soil horizon. On a volume basis, the soil has a field capacity where moisture is held in place by pore pressure and osmotic forces and will not drain gravitationally. If rain continues, the rate of subsurface percolation or soil porosity becomes the limiting flow and volume factors. If either is exceeded, surface ponding or runoff will occur on the surface.

The most physically based modeling methods are the Horton Equation (and variants) and the Green-Ampt Equation. But both of these methods require estimates of parameters that are not intuitive to the everyday designer (do you know your soil’s suction head?), often leading to wide disparities in estimates. This makes the Soil Conservation Service (SCS) method more popular, even if it is not as accurate. Its land-use-based parameter estimation (curve number) is easy to grasp and readily tied to the kinds of land use and HSG decisions designers must make.

However, the SCS method is very inaccurate for the kinds of small rainfall amounts considered for infiltration (and pollution control, considered next). Efforts are being discussed to correct this problem by changing the initial abstraction but are not “official” yet (Hawkins et al. 2009).

But if total infiltration is the needed parameter (versus infiltration in time), a simple volumetric runoff coefficient has often sufficed, especially given all the other inaccuracies. This is shown in Equation 1, following the Q-P naming convention.

     Q = P * Rv                                     (Equation 1)
Where    Q = runoff volume (inches)
               P = rainfall of interest (inches)
               Rv = volumetric runoff coefficient

Rv had, in the past, been expressed as a simply linear function of impervious area. However, with the recognition that soil type and treatment are also very significant when it comes to volume considerations, the Rv factor can better be understood as a weighted coefficient based on percent of site area in each identified category.

If each type of soil or land use is assigned its own Rv value, Equation 1 can be changed to:

     Q = P *Σ Rvi I%i                           (Equation 2)
Where Rvi = runoff coefficient for a particular land use or soil condition
              I%i = percent of site in that condition

Schueler (2008) gives a table of Rv values developed from an assessment of various sources, reproduced in a modified form as Table 1.

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In reality, it is never even quite this simple because of the interaction of the various land uses and the complexity of most sites. For example, drainage from smaller impervious areas may run on to green areas, partially negating the impacts of the impervious area. In fact, good designers may plan it that way. This can be handled in several ways, including estimation of a reduced Rv value for small versus large impervious areas (according to Pitt [1987], from 0.95 to 0.98 down to 0.65 to 0.85 for our range of rainfall depths), or by identifying appropriate grassy areas as a rainfall volume runoff reduction control and removing volume directly through runoff reduction calculations. There may also be planned and engineered practices for which a special and low Rv may be calculated, such as reforested areas, restored or amended soils, etc.

To meet some stipulated infiltration requirement, a designer would lay out the site to maximally reduce the Rv coefficient and increase infiltration, then develop designs for capturing and evapotranspiring, infiltrating, or reusing rainwater that will make up for any shortfall in meeting the requirement (and maybe provide some Leadership in Energy and Environmental Design (LEED) points, too). Next Page >

What Do You Think?

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ktidid

November 24th, 2009 6:53 PM PT

I am a layperson and had to look up the word hydrology... so you know my brain level. Reading these posts is pretty awesome for me. I actually understood a lot of what you folks are saying. Not all. Nonetheless, I would like to ask a question and hope you don't mind. My landlord is very unhappy about some oil leaks my car is dropping and says the environmental control inspector will fine him. I own a 23-year-old Cadillac, from the era when I was a hard worker but am now disabled where walking is difficult and painful and have doc's verification of that. It will cost $1,000 to pull down the transmission to replace the gaskets which are leaking, and I have had an aluminum pan put under the car to catch the drips when it is parked. Plan to add some cloths which I am told will absorb oil. I live on Disability and am in a Federally subsized apartment. At the same time, I used to teach school, work at western bureau of Newsweek after interning there, and was employed by a state university to edit academic and professional documents intended for publication, and so I am urgently trying to find similar assignments on the net to pay for this vehicle expense. There is hope, you see, that I can deal with this properly. OK.. sorry for the detail. Could any of you give me advice so I won't be evicted if I don't get rid of my vehicle? They want to protect the streams and trees, and my area (an island in Puget Sound Washington) is subject to rather heavy rains. And if this is not appropriate to post here, please forgive me. Am trying to solve this problem intelligently. I cannot afford to get rid of the car; it is cheaper.. truly.. to try to maintain it. It is a good car. I truly sympathize with the need for stormwater control to protect the environment. Does this include the area under a handy-dandy overpass somewhere? O, I am being facetious.. hope u don't take that last blurt wrong. Thank you... and if you scold me for asking this here, I will understand.

cgorman1

November 9th, 2009 11:02 PM PT

I see a huge problem with this broad declaration, "Second, there is a growing body of knowledge that the treatment of runoff is not as effective as the removal of runoff (and the mass of pollutants it carries) needing treatment. We can theoretically assign some very high pollution removal...." How can you ignore the effect of these pollutants? The trees that uptake the pollutants, underground streams that are taking metals and substances other than suspended solids like sediment into downstream bodies of water. I've see treebox filters that die to heavy oil concentrations? How does that LID work? (1) I'm not sold on the low impact green solutions, unless there is some sort of interception (you can call it pretreatment) of the potentially hazardous stuff first. (2) What about eventual "removal" of that fouled soil or tree? Is your residential or commercial site now a superfund? Is the property owner going to want to remove and replace all of his "Low-Impact" systems only a few years after their commissioning? I hope people are paying attention to this, because honestly, I have seen failed enough ponds and bioretention facilities to make me want to put everything in an encapsulated system.

Nisenson

September 10th, 2009 6:13 AM PT

Great article. From an urban planning persective it seems like site - level LID can address Objectives 1 and 2 (infiltrated flows and pollutant removal). Objectives 4 & 5 (Destructive flows and Biggest Flows to Consider) are most practically handled at the muni and regional levels. I see Objective 3 (Channel Protection) as the real challenge. Some development projects (high dollar, condusive regs) will have no problem, while others (communities that were bypassed by the last boom) struggle to attract attention with lesser requirements. This is where communities need to fashion programs that call in all the troops - CIP, economic development, parks, etc... to see how to handle on a community basis and streamline to attract investment.

afischer

September 9th, 2009 9:33 AM PT

More attention needs to be put on what to do with the captured volume and how it is disposed (lost) in the interim period between storm events. It does little good to capture and retain pollutants only to have the stored volume overflow in the second, third, or fourth storm event. Losses of that volume by way of infiltration, evapotranspiration, and use for irrigation will vary by geology, climate, and landscaping practices (xeriscaping would seem counterproductive during winter months in the Southwest since irrigating - as a way to lose the stored volume - at that time is generally unneccessary). The loss problem has been long recognized in wastewater storage from confined animal feeding operations (CAFOs).

DBeyerlein

August 12th, 2009 1:27 PM PT

The author makes a good argument in favor of the need for volume-based hydrology. Similar approaches are being used in Washington state and California where the standard is flow-duration based to prevent an increase in erosive flows. However, the use of single-event hydrologic modeling does not do a good job in accurately quantifying the ability of onsite stormwater solutions (e.g., LID facilities) to mitigate the extra stormwater volume created by land development. A more accurate way to do this is with continuous simulation hydrologic modeling. This is because what occurs between storm events is just as important as what happens during storm events. Only continuous simulation has the ability to accurately represent these hydrologic processes.

Robotuner

August 12th, 2009 7:32 AM PT

HSPFToolkit (http://www.engenious.com) allows users to compute (Log Pearson Type III) and extract volume based return frequencies from either precipitation or runoff generated time series created by HSPF. For example, you can compute a 100 year-7 day return volume from a time series, then extract the time series values that most closely matches that from the data record for use in your typical event model based applications.

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