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', <br /> A sir� ple method for i�eiention basin design <br /> ,�, <br /> ) I <br /> By Glen Yrjanainen and Alan W. Warren' � <br /> • . i <br /> Because the developmenl of land for agrorian, residcn- changing as the head varies. This type of outlet can be <br /> tial,commercioi ur industrial use continues�o increase, anolyzed by opplying basir calculus to the controlling I � <br /> the tempowry itorage o(storm runofi in an onsite reten- outFlow equalion. If the outflow is of a wnstant mle, <br /> tion brsin has become essenlial due fo inodequate out• i.e.,a pump,the analysis is easie�.The volume of storm <br /> = lets for ihe increased slorm runoff crealed by develop- water info Ihe retention bosin can be d�� ermined by the I <br /> � ment.lnmostcases,andprimarilyforeconomicreasens, rational formula. The required s�oroge volume is fhe <br /> �`° adequately designed colledor srorm water rystems (m- volumc of runoff thal Oows in'o Ihe basin minas that <br /> - poble af handling the slorm runoH from ultimate devel• which Rows ouf. <br /> opmenl)lag behind the deve!opmenl increases.Because An equation can 6e oblained that relates volume of <br /> oi ever increasing conitrudion cosls ar.d fne infeasibil• storage to allowoble outflow using the time of fhe storm <br /> - ity of installing large-diameter storm drains,the concept as a parameter.This equation can then be maaimized by <br /> of ul�imate design or improvement of colledor storm hasic calculus to find Ihe peak srorage time, wl:ich in I I� <br /> - waler systems is impradical. The �etention basin that tum can 6e used to cclwlole the moximum volume of I <br /> =' � meters or restricts flow is here lo ;lay. storage�equired. The one assumption in this melhod is i1 , j i, <br /> � DESIGN MEfHODS. One meihod of relention basin that sform water rises in the reteNion basin al o con- � <br /> ' � � slant rote to fill the basin�o the eak volume,and tha� II , I <br /> design�sed by many design engineert is to use tne ro- P <br /> tional formula to calculate the peak volume o(retenlion ihe inaximum ollowable.oul0ow is reoched only,al,this , I <br /> 1 � reyuired.The in0ow�olume for an incremental time of peak volume.� � , <br /> � Ihe slorm is chorted,then used lo delermine fhe depfF of e envations of retenfio� equations (or relention I <br /> refenlion and hence ihe out0ow over Ihe increment of basins wifh a gravity Oow,chonging rale orifice ouflet, <br /> = time selected. The same procedure is followed for Ihe and a constont rate pump outlet follow. These deriva- <br /> - next time increment until ihe peak vuiume of retention is tions are for o len year(requency storm in ihe Oakland , j <br /> !ound. county, Michigan area. Retention equotions for di6 '. <br /> - One disadvantage of this meihod is that it requires a ferent yoar frequenty s�orms and ofher creas con be ob- <br /> - Irial volume and areo of relention to be s?lected by ihe tained in ihe same manner. � <br /> _- designer in order lo delermine the incremental depth of �Connnued on p.al� <br /> � retention ond ils corresponding outFlow.Another disad- <br /> --- vontage of this melhod is thar the outllow over the time <br /> increment is only an average opproximolion, and not DEFItdITION OF TERMS <br /> ' Ihe instantaneo�nly changing uulflo��that odually dnes <br /> - occur with on outlet dependenl upon changing head. Fi- <br /> � nally, this melhod is tin:e consuming, tedious and may A = Contribufing ocreage <br /> , ir.volve more than one frial if o Fcor:elecfion for ap- o = Cross sedional area of outflow pipe(ft') <br /> proximale vol�me ond area is made by ihe designer. C = Coefficienf of imperviousness <br /> - Anolher mefhod of retention basin design used by de- � = Coefficient of confraclion (or an orifice <br /> ff -- sign engineers is graphicol. If invol.'es obtaining o syn- <br /> , � the.ic hydrograph for the particular design storm and 9 = A«eleration due to graviy (32.2 ft/sec') <br /> development in question.The volu�ne of retention is then h = Heod, de(ined as the dislance irom Ihe water <br /> obtained by calculating the area Lelween Ihe bell surface to Ihe centerlinf�of the oufflow pipe(N) <br /> � J shaped hydrog�::;ph curve and the superimposed allow• I = Rainfall intensity �175/t t 25) � <br /> able oufFlow curve,ond then converting Ihis orea+nto a K, = Constant (h/t) <br /> volume. K, = Constanf(co �, 2gK � <br /> One disadvanlage of ihis method is fhat 1he designer Ui = Instantaneously chonging oulflow(CFSJ <br /> � 1^, hos no accuraie melhod of selecting fhe durolion of the � <br /> storm for which to plol the hydrograph.Another disad- Qo = Mazimum oul(low per acre imperviousnesi <br /> vantage is thal it is difficul} to obtain an outflow curve (CFS/AC) I <br /> — � fcr an instanlaneously changing oulFlow lo superimpose T = Srorage time,defined as Ihe instant storoge be• � � <br /> � , on Ihe hydrograph. Other disadvonfajes are that a gins until Ihe peok sbroge is attained (min� : I <br /> `_- grephiwl smution is not thuf occurale.und i:somelimes � = Insfantaneous time of storage (min) <br /> owkward lo abtain. Vn = Volumc of waler flowing inlo ihe relen�ion bo�in � I <br /> ' �' CAICUWS.Whatisneededisastraighifo:ward,um peracreimperviousness �ft'/AC) i <br /> : complicated mofhematicol method nf designing a retem Vo = Volume of water powing out of the retenlion � � <br /> tion basin. If ihc basin wero to hove no oullet,all of�he basin per acre imperviousnesi(Ft'/AC) �� <br /> s�orm runoff would hove to be ponded.The(act is thol V: = Maximum volume of wa�er s�ored in the relem <br /> most basins do have an oullet,wlth the outFlow depend• tion basin per acre imperviousness (ft'/AC) � j <br /> ing upon Ihe amounl of wotcr that is p¢•2)ed and �he � y� � Maaimum volume of woter slored in the reten- <br /> dcpth of retenlion. The outFlow is mslanlaneously tion basin (ft') <br /> •C�.1 mg�neerand engnee�ing aid�II.Dmin Commiuioner't OILce, <br /> Owland Counry,Ponlac,Mich. <br /> ,� WATER & SEWAGE WORKS, December, 1973 35 � <br />