Design of Drain

8/18/2019 Design of Drain

1/31

GENERAL INSTRUCTIONS

This spreadsheet is designed to be used in conjunction with the document tited !"

%ie#ometric Sur&aces and $rain Spacing! b' Coo( et a) *in press+, in which a &u dCrenshaw and Santi.s /001 method+ empo'ed in this spreadsheet is a-aiabe) Thiand maintenance practices &or hori#onta drain s'stems, and discusses some imitatispreadsheet is intended to &aciitate the appication o& Crenshaw and Santi.s modi&ie5+ %redict pie#ometric sur&aces in a drained sope &or use in sope stabiit' ana'ses,/+ %redict heads in pie#ometers instaed in a drained sope &or purposes o& -eri&'in7+ Estimate an appropriate a-erage drain spacing to achie-e a desired pie#ometric dana'ses)The spreadsheet is composed o& &i-e sections4 an Introduction %age, a 8utipier %aOutput %age) The Introduction %age pro-ides an o-er-iew o& the spreadsheet and i%age does not pro-ide an' guidance on the use o& E6ce spreadsheets in genera) It program and can na-igate the spreadsheet as needed) The 8utipier %age pro-ides

parameter, 8) The Input %age pro-ides an eas' &ormat &or entering the data re3uirethe intermediate cacuations and data used to pro-ide the output isted on the Outpne-er atered) The Output %age pro-ides a ist o& the heads cacuated &or the drain pie#ometric sur&ace within the drained sope)Tips &or Spreadsheet Use45+ Awa's (eep an unatered cop' o& the origina &ie in case a cacuation or outputsa-ing a -ersion o& the origina &ie under a new name)/+ Note that not e-er' !9aue! ce on the Input %age must be &ied in, some o& thedata) Ces that ma' be e&t ban( are noted in the !Specia Instructions! coumn)7+ Ne-er ater ces o& the Cacuation %age)1+ The pro&ie pro-ided on the Output %age wi re3uire some manipuation to pro-i

without changing the output data) At the east, the ast ce number &or each series sength) ;or e6ampe, i& the tota drain ength is


2/31

ri#onta $rain Spreadsheet Instructions to %redict

escription o& the method *a modi&ied -ersion o&s document aso detais current design, instaation,ons o& the methods empo'ed here2in) Thisd method) Speci&ica', it ma' be used to 3uic('4

e6pected drawdown, andrawdown, as estimated &rom sope stabiit'

ge, an Input %age, a Cacuation %age, and ancudes tips &or spreadsheet use) The Introductionis assumed the user has some (nowedge o& thea &igure that ma' be used to estimate an input

d &or the cacuations) The Cacuation %age showst %age) The Cacuation %age shoud be -iewed, butd sope, and a pro&ie o& the ma6imum, stead'2state

ce is accidenta' deeted or changed) Start b'

can:shoud be e&t ban( depending on other input

de a presentabe &igure) This pro&ie ma' be atered

houd be changed to correspond to the tota drainach = and > data range o& each series shoud becan be easi' -iewed on the Cacuation %age underd on the Output %age)

diction o& %ie#ometric Sur&aces and $rain Spacing

o& the method *a modi&ied -ersion o& Crenshawt aso detais current design, instaation, and& the methods empo'ed here2in) This spreadsheet

peci&ica', it ma' be used to 3uic('4

e6pected drawdown, andrawdown, as estimated &rom sope stabiit'

ge, an Input %age, a Cacuation %age, and ancudes tips &or spreadsheet use) The Introductionis assumed the user has some (nowedge o& thea &igure that ma' be used to estimate an input

d &or the cacuations) The Cacuation %age showst %age) The Cacuation %age shoud be -iewed, butd sope, and a pro&ie o& the ma6imum, stead'2state

ce is accidenta' deeted or changed) Start b'

can:shoud be e&t ban( depending on other input

cuate a number, e-en i& 'ou are on' tr'ing to

)

de a presentabe &igure) This pro&ie ma' be ateredhoud be changed to correspond to the tota drainach = and > data range o& each series shoud ben be easi' -iewed on the Cacuation %age underd on the Output %age)


3/31

8utipier &or use with the head correction &actor *"&+) The drain incinatiooth incinations are in degrees)


4/31

n is !di,! and the ow2permeabiit' a'er incination is !)!


5/31

Objective Parameter

Input Data to Calculate Drain Spacing orMaximum Piezometric Profile:

Hydraulic Conductivity m!"# $ K:

%verage Drain Outflo& 'rom a Single Drain m(!"# $ Q:

)ec*arge over area +xS m!"# $ V:

%verage Drain +engt* m# $ L:

%verage Drain Spacing m# $ S:

%verage Dept* to ,nderlying +o&$Permeability +ayer m

Drain )adiu" m# $ r 0:

Drain %ngle degree"# $ α:

+o&$Permeability +ayer %ngle degree"# $ φ:

Multiplier $ M:

Initial Piezometric Head -e*ind Drain 'ield m# $ Hi:

.levation of Drain Outlet m# $ Edo

:

.levation of +o&$Permeability +ayer -elo& t*e Drain Ou

%dditional Input Data )e/uired to Calculate t*ePiezometric Head at a Single Piezometer:

Di"tance of Piezometer 'rom Midpoint -et&een 0&o Dr

Di"tance of Piezometer into t*e Slope m# $ p:


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1alue Special In"truction"

K VALUE INVALID

,"e a value for eit*er 2 or 13 but not bot*4

,"e clo"e"t integer4

See Multiplier Page "econd tab#4

# $ D: May be left blan5 if de"ired4 6ill be auto$calculated onfollo&ing page4

Mea"ure 7 m be*ind drain" from level of .lp4

,"e *eig*t above lo&$permeability layer if .lp i" zero4

tlet m# $ Elp:

May u"e zero for t*i" value "ince t*e .lp i" t*e datum

in" m# $ x:


7/31

D$I9:0

D$I9:0

D$I9:0

D$I9:0

D$I9:0

D$I9:0

DN:A

Drain +o&$Perme

+engt* into t*e Slope m# .levation of Drain m# +engt* into t*e Slope m#

8 8488 8

9 9

( (

; ;

< <7 7

= =

> >

? ?

98 98

99 99

9 9

9( 9(

9; 9;

9< 9<

97 97

9= 9=9> 9>

9? 9?

8 8

9 9

( (

; ;

Recharge *m:s+ 2 V:8a6imum %ie#ometric "eight Abo-e the $rain at the8idpoint etween $rains *m+ 2 H

max:

Normai#ed Recharge *-:F+ 2 Vn:

Hi%: L

c%:

"ead at L500

*m+ - Hd: Location o& $rain Contact *m+ 2 L

c:

"ead correction &actor *m+ - Hf :

Location o& $rain Contact *m+ 2 Lcc: (Corrected &or

$rain Anges0+

;ina head correction &actor *m+ - Hfc:

*Corrected &or $rainAnges0+

;ina Location o& $rain Contact *m+ 2 Lcf : 9aue used

&or RC$

Auto2Cacuated ;ied $epth *m+ 2 D: E3ui-) $epth to Low2%erm La'er *m+ 2 d:


8/31

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9/31

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10/31

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11/31

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12/31

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13/31

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>= >=

>> >>

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14/31

D$I9:0R$C Sope Cacuation

= >

D$I9:0 D$I9:0 0)00

D$I9:0 0)00 D$I9:0

D$I9:0 Sope, m4 D$I9:0

D$I9:0 Intercept, b4 D$I9:0

DN:A

ability +ayer 'ield Dept*3 D

.levation of +o&$Perm4 +ayer m# D m# %verage D m#

8488 8488


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18/31


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21/31

%ie#ometric "ead at a Speci&ic %ie#ometer

D$I9:0

DN:A

DN:A

D$I9:0

Predicted Piezometric Surface

+engt* into t*e Slope m# )DC m# .levation of Piezometric Surface m#

8 @DI1!8A @DI1!8A

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@DI1!8A @DI1!8A

( @DI1!8A @DI1!8A

; @DI1!8A @DI1!8A

%ie#ometer "ead at Lc *m+ 2 H

c:

R$C at $istance p *&t+ 2 RDCp:

$rain Ee-ation at $istance p *&t+ 2d

p:

"ead in Speci&ied %ie#ometer *&t+ 2H

p:


22/31

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23/31

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24/31

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25/31

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26/31

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? @DI1!8A @DI1!8A

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(9 @DI1!8A @DI1!8A( @DI1!8A @DI1!8A

(( @DI1!8A @DI1!8A

(; @DI1!8A @DI1!8A

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;9 @DI1!8A @DI1!8A

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27/31

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== @DI1!8A @DI1!8A

=> @DI1!8A @DI1!8A

=? @DI1!8A @DI1!8A

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>9 @DI1!8A @DI1!8A> @DI1!8A @DI1!8A

>( @DI1!8A @DI1!8A

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>> @DI1!8A @DI1!8A

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? @DI1!8A @DI1!8A

?( @DI1!8A @DI1!8A?; @DI1!8A @DI1!8A

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?? @DI1!8A @DI1!8A

(88 @DI1!8A @DI1!8A

(89 @DI1!8A @DI1!8A

(8 @DI1!8A @DI1!8A

(8( @DI1!8A @DI1!8A

(8; @DI1!8A @DI1!8A

(8< @DI1!8A @DI1!8A


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Piezometric Head m#

@DI1!8A

@DI1!8A 0*i" i" t*e *ead in a piezometer a di"tance x

Hmax

0*i" i" t*e average maximum *ead in t*e "lo

Hp

8


29/31

This pro&ie chart must be changed manua' to re&ect the corr

On the Cacuation %age, note which ce in Coumn A

On the Output %age, with the chart seected, right cic(

Choose Seect $ata)

Choose a series and seect Edit)

;or a three series, change the ast ce &or the = and >


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.xplanation

from t*e midpoint bet&een t&o drain" at a di"tance p into t*e "lope4

pe t*at occur" at t*e midpoint bet&een t&o drain" at a di"tance +c into t*e "lope4

88


31/31

ct drain ength) This can be achie-ed b' &oowing these instructions4

orresponds to the ma6imum drain ength, L)

the chart with the computer mouse)

-aue ranges to match the ce number noted in Coumn A pre-ious')

Design of Drain

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