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CATENA VO~. 20, p. 469-493 Cremlingen 1993 Hydrology of Some Tidal Channels in Estuarine Marshland Near San Francisco L.B. Leopold, J.N. Collins & L.M. Collins Abstract Measurements of velocity, depth, dis- charge, and slope were simultaneously made at ten gages along a natural es- tuarine channel 19,000 feet in length in Petaluma Marsh, California. Along the study reach the channel decreases from a width of 47 feet at its mouth to nearly zero at its headward extent, with accom- panying decrease in depth. Though gage height varies with time in a smooth si- nusoidal manner at all stations, this is not true for velocity, discharge, or slope. Velocity is rather constant for long peri- ods in the ebb cycle and differs but lit- tle along the length of the channel. It is somewhat higher on ebb than on flood tide. At most gage sites, velocity contin- ues one-half to one hour after the gage height has reached its maximum or min- imum value and reversed. In this channel water surface slope is considerably greater in the midreach of channel than in either the mouthward or headward reaches. Slopes vary from less than .0001 to about .0005 through much of a tidal cycle. At some stages of both ebb and flood, the upper end of the channel has a positive slope while the lower end a negative or adverse slope. ISSN 0341-8162 01993 by CATENA VERLAG, 38162 Cremlingen-Destedt, Germany 0341-8162/93/5011851/US$ 2.00 + 0.25 At those times the longitudinal profile of water surface is bow shaped or V shaped. 1 Introduction Despite the interest in wetland preser- vation and the recognition of the role of marshes in the biologic and chemi- cal cycling, few details have been pub- lished on the role of tidal marsh chan- nels. These channels are those whose origin and maintenance depend on tidal inflow and outflow with but little contri- bution of runoff from terrestrial sources. The water surface elevation in estuar- ies rises and falls as a function of time in a nearly sinusoidal relation twice in each lunar day. Along the western mar- gin of the United States there are usu- ally two unequal high tides and two un- equal low tides in a day, which give rise to the terms ”mean lower low water” (MLLW) and “mean higher high water” (MHHW). These are the arithmetic av- erage of the elevation of the daily mini- mum and daily maximum height of the tide computed over the tidal epoch, a period of 19 years. Because the tide rises and falls with time as a neat sinusoidal curve, it is often supposed that mean velocity and probably mean water surface slope also are sinusoidal with time. Our data show this supposition to be incorrect. Few di- CATENA-All Interdisciplinary Journal of SOIL SCIENCE-HYDROLOGY-GEOMORPHOLOGY

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CATENA V O ~ . 20, p. 469-493 Cremlingen 1993

Hydrology of Some Tidal Channels in Estuarine Marshland Near San Francisco

L.B. Leopold, J.N. Collins & L.M. Collins

Abstract

Measurements of velocity, depth, dis- charge, and slope were simultaneously made at ten gages along a natural es- tuarine channel 19,000 feet in length in Petaluma Marsh, California. Along the study reach the channel decreases from a width of 47 feet at its mouth to nearly zero at its headward extent, with accom- panying decrease in depth. Though gage height varies with time in a smooth si- nusoidal manner a t all stations, this is not true for velocity, discharge, or slope. Velocity is rather constant for long peri- ods in the ebb cycle and differs but lit- tle along the length of the channel. It is somewhat higher on ebb than on flood tide.

At most gage sites, velocity contin- ues one-half to one hour after the gage height has reached its maximum or min- imum value and reversed.

In this channel water surface slope is considerably greater in the midreach of channel than in either the mouthward or headward reaches. Slopes vary from less than .0001 to about .0005 through much of a tidal cycle. At some stages of both ebb and flood, the upper end of the channel has a positive slope while the lower end a negative or adverse slope.

ISSN 0341-8162 0 1 9 9 3 by CATENA VERLAG, 38162 Cremlingen-Destedt, Germany 0341-8162/93/5011851/US$ 2.00 + 0.25

At those times the longitudinal profile of water surface is bow shaped or V shaped.

1 Introduction

Despite the interest in wetland preser- vation and the recognition of the role of marshes in the biologic and chemi- cal cycling, few details have been pub- lished on the role of tidal marsh chan- nels. These channels are those whose origin and maintenance depend on tidal inflow and outflow with but little contri- bution of runoff from terrestrial sources.

The water surface elevation in estuar- ies rises and falls as a function of time in a nearly sinusoidal relation twice in each lunar day. Along the western mar- gin of the United States there are usu- ally two unequal high tides and two un- equal low tides in a day, which give rise to the terms ”mean lower low water” (MLLW) and “mean higher high water” (MHHW). These are the arithmetic av- erage of the elevation of the daily mini- mum and daily maximum height of the tide computed over the tidal epoch, a period of 19 years.

Because the tide rises and falls with time as a neat sinusoidal curve, it is often supposed that mean velocity and probably mean water surface slope also are sinusoidal with time. Our data show this supposition to be incorrect. Few di-

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470 Leopold, Collins & Collins

rect measurements of either are available MLLW 0.0 ft (0.0 I

Mean low water (MLW) 0.91 ft ( .28 I

1.26ft (.38 1

Mean high water (MHW) 5.81 ft (1.77

in the abundant literature on estuaries. Mean tide (MSL) Wishing to understand better the role of channels of different sizes in the develop- ment and maintenance of marsh lands,

Mean higher hkh'water (MHHW) 6.33 ft (1.93

a study was made of one major chan- nel and some of its minor tributaries in Petaluma Marsh.

2 Location and general description

The great estuary that opens to the Pa- cific Ocean through the Golden Gate was once a broad flood plain of sev- eral major and minor rivers draining the Sierra Nevada and the San Joaquin Valley. With the rise of sea level in Holocene time the early river valley was drowned and many areas bordering the flooded valley became tidal marshlands. Most of them have been diked or drained for urban development, for agriculture, or for evaporation ponds in salt pro- duction. One of the few such marshes of any size remains near the mouth of the Petaluma River that flows south into San Pablo Bay, the northernmost arm of the Golden Gate Estuary. The Petaluma Marsh is natural except for a network of very small ditches dug for the purpose of mosquito abatement. These mosquito control ditches were cut in the 1970s and many have since partly filled in with sediment or partially overgrown with marsh vegetation.

One of the major natural channels in Petaluma Marsh is Tule Slough, which enters Petaluma River across from the village of Lakeville, California.

The statistics for the NOAA tide gage at Lakeville, California, on the Petaluma River (gage number 9415423) for the tidal epoch ending 1978 are as follows:

The study section of the slough is 19,007 feet in length (3.60 mi or 5.80 km). In this length the width decreases from 47 feet near the mouth to about 4 feet at the Railroad gage. A planimetric map is shown in fig. 1.

The earliest topographic map of the marsh was published by the U.S. Coast Survey in 1860. It is surprising that the mainstream channel has changed only infinitesimally in a century, though the smaller tributaries and unvegetated turf pans on the marsh surface have changed somewhat in that period. Their charac- ter and origin have been described by us in a separate paper (Collins, Collins & Leopold 1987).

The marsh is comprised of peat and clay that contact ancient mudflat sedi- ments at an average depth of 2.5 me- ters. The vegetation is dominated by pickleweed (Saiicornia virginica L.). Near the mouth of the main channel low natural levees occur that support coyote brush (Bacharris pilularis) and gum plant (Grendi l ia humi l i s ) . Slump blocks in the channel grow cordgrass (Spartzna joliosa). That the marsh is mostly Salicornia agrees with the find- ing of Stevenson & Emery (1958) that in Newport Bay, California, Salicornia was mostly confined to the narrow range of elevation 3.2 to 3.5 feet above MLW (p. 36) when the tidal range is 3.4 feet. That is, they found Salicornia to lie in the zone 0.2 feet below MHW to 0.1 feet above MHW.

C A T E N A -A 11 1x1 t c I d i I c ip I i 81 a ry J o II r i i R I 0 f 5 0 IL S C I E N C E -- H Y D R O L 0 G Y - G E OM 0 R P H 0 L 0 G Y

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Hydrology of tidal channels, California 471

Fig. 1: Map of Petaluma marsh area

3 Channel Measurements

Along Tule Slough seven staff gages were installed and two in confluent tribu- taries. At a later time three additional measuring points were established to ex- tend the network farther headward. The zero reading of each was determined by spirit levelling - connecting a series of local benchmarks. All benchmark eleva- tions were later tied to a common datum at the NOAA benchmark at Lakeville, just 0.5 miles from the mouth of the Tule Slough. The established net of bench- marks were tied together with a max- imum elevation error of 3.5 mm, each leg of the level line being rerun until the required closure was attained. This

with station locations o n Tule Slough.

closure was required to measure water surface slopes. The soft surface of the marsh made level set-ups typically un- stable so some level lines were run sev- eral times before the closure was satis- factory.

We found that important errors in wa- ter surface elevation can be caused if the staff gage is not perfectly vertical. At a gage where the change in water level was six feet, a deviation of five degrees from vertical could cause an error in wa- ter surface elevation of .023 feet (7 mm), twice the allowable value.

Channel cross section was surveyed at each staff gage as well as at other loca- tions. The cross sections are somewhat

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472 Leopold, Collins & Collins

Photo 1: t Photograph looking up the channel of Tule Slough at the Head gage.

Photo 2: t Tule Slough at head ward end showing Railroad gag( ow.

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Hydrology of tidal channels, California 473

triangular near the mouth of the slough and get progressively more U-shaped up- stream. The bank material exposed to view at low tide is a dark grey mud, with much clay. One sinks in to the hips if one steps out of a boat into the channel at low tide. Many large slump blocks slip from the channel banks in the downstream reaches. Photographs of the channel are shown in photos 1 and 2.

In many places along the channel, es- pecially on the slump blocks, bivalve mussels including Geukensia, Isacha- dium, and Macoma attach themselves to stems and roofs of vegetation and from the rough appearance, these colonies must add appreciably to the hydraulic resistance.

At each station a distance of 30 feet along the channel was marked by stakes at each end. For velocity measurements orange peels were used as floats. Sur- face velocity near the channel center line was computed as the time in seconds for the float to travel 30 feet. These ve- locities were multiplied by 0.8 to give an approximate value of mean velocity in the cross section. Float measure- ments were made at approximately five to three minute intervals as required to account for brief velocity pulses (Reed 1987). Gage height readings were taken every two minutes. Runs were made on several days in 1984 and 1988.

The data on gage height at each sta- tion were reduced to the same datum, MLLW at the Lakeville (NOAA) gage. Cross section data were related to water stage, and with the measured velocity, discharge was computed as a function of time.

4 Channel size parameters along the slough

In fig. 2 several aspects of channel size are plotted as a function of distance along the main slough. The width de- creases upstream in an irregular fashion from 47 feet at mouth gage to nearly zero feet at Railroad gage. Local nar- rowing at sections A and D is caused by slump blocks on both banks. Mean bed elevation increases upstream and is equal to MLLW at a distance of about 6,000 feet upstream of the mouth of the channel.

Cross-sectional area and volume of the total prism are both measured at 1400 hours March 17, 1984, where the water surface was at 6.7 feet above MLLW or slightly above bankfull stage.

Cross-sectional area reflects closely the channel width. The tidal prism equals about 3,100,000 cubic feet (71 acre feet) at this near-bankfull condition between the mouth and the upstream gage. Thus, this volume would be filled if an average of 142 cfs flowed past the mouth gage for six hours of flood tide.

The bed of the channel is soft mud. The only visually obvious sources of hy- draulic roughness are the mussel colonies in the shallows of the channel, and the slump blocks along the banks that sup- port Spartina. Slump blocks as de- scribed make the banks randomly irreg- ular. One must merely guess at the ma- jor cause of hydraulic resistance. But the muddy bed is not smooth. In the relatively straight reach between mouth and A gages, a distance of 1,240 feet, depth measurements were taken about five feet apart. More or less regular un- dulations of the bed were observed with an average spacing between successive high points of 96 feet with a standard

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&- LL

3 0

W I 3 -1 0 >

I D I S T A N C E T H O U S A N D S OF F E E T

t I I I 4 I

2 6 14 8 I O 1 2 I 1 0

‘1

V O L U M E

li b- \ LL

r

I I- 3 O 0 4 -

E w I A c D M I D

I 1 1 1 1 1 G A G E S 1

Fig. 2: Channel size parameters as func t ion o j distance along Tule Slough, cross sectional area, channel width, mean bed elevation, and cumulative volume of tidal pr i sm. Volume i s computed f o r March 17, 1984, 1400 hr., a t ws elevation of 6.7 f t above MLLW.

+- U.

0

4 W a 4

200 *

0

deviation of 32 feet. The average width of the reach is 36 feet so the mounds are spaced at 2.7 widths. Their amplitude was 1.3 feet, standard deviation 0.4 feet.

As can be seen 011 any tide chart, gage height (water surface elevation) usually varies through time in a smooth nearly sinusoidal curve. Velocity does riot fol- low this pattern but tends to remain rather constant for much of a tidal pe- riod as can be seen in fig. 3. For most of

both ebb and flood flow, the stations at the lower and upper ends of the tliree- niile reach experienced lower velocities than the five interinedia.te stations. This results from the higher values of water surface slope in the mid reach of the channel length as will be shown lat,er.

Another aspect of velocity is its rela- tion to stage. On fig. 4 velocity is plot- ted vs. water surface elevation for three stations, Mouth, E, and Head, on April

C A T E N A - An I II t e rrl i I c ip 1 i n ary .I I> II I 1 8 a I II t S 0 I L S C I E N C: E- H Y D R 0 L 0 G Y -G E OM 0 R F H 0 L 0 G Y

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Hydrology of tidal channels, California 475

Fig. 3: Surface velocity at each s tat ion and gage height at M o u t h gage as func t ion of time. The data f o r Apri l 22 and f o r March 17 are plotted together to approximate a full tidal cycle.

6

' ; 5 LL

3 -I -I

z 1 4

m a > w W

W 0

LL

1 3

a

5 2 (0

n W + a 3 1

0

- I

- M H W I K.x,

'X M O U T H

A -

\ *

Fig. 4: Mean velocity ut three stations is plotted against ele- vat ion of the water surface ex- pressed as f e e t above MLLW, f o r Apr i l 22, 1984. Arrows indicate

- M L L W

I I I I I the sequence through time. - I F L O O D E B B + I

V E L O C I T Y F T . PER S E C .

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- D I S C H A R G E H E A D

-

-

M A R C H 17. 1 3 0 4

0800 I O 0 0 1200 1 4 0 0 I 6 0 0

A P R I L 22. 1 9 8 4

-400 - 1 0 0 0 1200 1 4 0 0 1600

Fig. 5: Discharge as a func t ion of t ime for three stations, Mouth , Mid , and Head. The relation i s shown f o r dates of Apri l 2.2 and March 17, 1984. Note that o n the latter date the discharge was higher because the m a x i m u m water surface elevation was higher o n the March I7 date.

7

6

3 1 3

a > m ‘a

z

c ‘a > W _1

3 0

2 w

I

0

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Hydrology of tidal channels, California 477

E 0 4 W r

n E A C D - 3 H 0 > I I I I I I

4 6 8 I O 12 1 4

D I S T A N C E T H O U S . O F F E E T

Fig. 6: T i m e of slack water (velocity equals zero) Apr i l 22, 1984, in comparison t o the t ime of minimum gage height f o r stations located a t diflerent distances along the channel. Velocity i s zero one half to one hour after the water surface fal l has reversed.

22, 1984. On April 22 the Head station experienced ebb slack water at an ab- solute elevation about 2-1/2 feet higher than that of the Mouth gage. On this graph, also, it can be seen that the mid- dle reach of the channel exemplified by the E gage has a higher velocity than ei- ther end of the three-mile long channel.

Discharge is greater near the mouth than upstream primarily because of the downstream increase in cross sectional area. Magnitude of the discharge is more dependent on the maximum height to which the water rises than on the range of stage of a particular tidal cycle. The range at the mouth gage on April 22 was 5.61 feet and on March 17, 4.16 feet, but on the latter date the maximum el- evation reached was 1.4 feet higher than on April 22. As a result, the maximum discharge on March 17 was nearly twice that of April 22 as can be seen on fig. 5.

The rise and fall of the tide tends to be sinusoidal on the average, but at times deviates significantly from a smooth wave-like curve. Fig. 5 shows that on the ebb tide of April 22, both the Mouth gage and the Mid gage ex- perienced a receding water level that smoothly lowered from 0600 to 1400 when a sharp rise in water level began at Mouth and at 1530 a similarly sharp rise began at Mid gage. At both lo- cations discharge changed from ebb to flood nearly simultaneously with the re- versal of water surface change.

On March 17 the flood discharge be- came zero and changed to ebb at 1420 at both Mouth and Mid gages, but both had experienced maximum water eleva- tion at 1330. This is an example of how discharge reversal lags reversal in slope. At both locations the stage had been falling for 50 minutes before the

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478 Leopold, Collins & Collins

discharge reversed from flood to ebb di- rection.

The time relation among the parame- ters slack water, gage height, and slope is somewhat unexpected. Velocity does not become zero when the water surface elevation changes from rising to falling or vice versa. Velocity continues for one- half to one hour after gage height has reached its maximum or minimum and has reversed. This is shown in fig. 6 which shows the time relation of slack water to minimum water surface eleva- t ion.

On April 22 at Mouth gage, the mini- mum gage height occurred at 1348 hours and reversed, but the velocity did not become zero until 1430. On the same day the most upstream gage, Head, reached minimum gage height at 1700 hours, but velocity did not become zero until 1742. On March 17, at Mouth gage maximum gage height was at 1324, but velocity became zero at 1448.

The reason for this lag is apparently related to the inertia of the flowing wa- ter. Water flowing upstream during flood flow keeps moving upstream un- til after the slope has reversed and the adverse gradient brings the velocity to zero.

In the present study, the water surface elevation was measured with sufficient precision that water surface slope may be computed between pairs of stations through a portion of the tidal cycle. The elevation differences are small, but they are generally larger than the precision of the leveling. These differences range between 0.10 and 0.45 feet and the dis- tance between stations are mostly in the order of 1,200 feet so slopes are in the magnitude of 1 x

Fig. 7 is a plot of water surface slope computed between adjacent gages as a

to 40 x

function of times for April 22, 1984 ob- servations. The slope values for the two dates are similar in that the mid- dle reach of the three mile-long channel is steeper than either the upstream or downstream reach. In figures 8 and 9, the water surface is plotted as profiles.

On April 22 the water surface was falling, but sloped mouthward more or less uniformly from 0800 to 1000 hours a t which time the midreach steepened and the most mouthward 3,000 feet was very nearly level. This steepening re- sulted from the fact at the Head and E stations the rate of water surface fall was much less than at the stations nearer the mouth. Between 1400 and 1600 hours the water was rising near the mouth but continuing to fall upstream of Sta- tion D, but in the next hour all stations except Head were rising and slope was headward through all reaches. At 1600 hours the profile is V shaped, in that the mouthward half of the channel had a slope headward while the headward half had a slope mouthward.

5 Hydraulic resistance

In most computations of tidal flow it is necessary to use a measure of flow resis- tance or hydraulic roughness. Without direct measurements of hydraulic gradi- ent (water surface slope), the roughness must be estimated. In the present study the parameters necessary for computing roughness, depth, slope, and velocity, were measured in the field. Computed values of roughness from these measure- ments also give at least some indica- tion why the central reach of the channel has a consistently steeper water surface slope than either the upper or the lower end.

Slope measurements are available for

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Hydrology of tidal channels, California 479

5 - I- LL

0 T O M I 0 E c T O 0,

. 0 0 0 6

. I 9 0 0 ----

Fig. 7: Water surface slope computed between adjacent gages as a func t ion of t ime during Apri l 2$ 1984 observation period. Slope i s considered positive during e b b p o w ,

0800

0900

IO00

I 1 0 0

I300 I500

I

D U W I

Fig. 8: Longitudinal profiles of the water surface along the channel of Tule Slough each hour during the observation period of Apri l A'gJ 1984. The stage falls (ebb t ide) and then rises during the period.

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480 Leopold, Collins & Collins

7

I- LI

B -16 I > m a

0

_I

z

2 5 > W _I W

W 0 4 b.

3 67

a W I-

a 4

a 3

3

- - - -:-- l40o -- - - - - - - - - - - - ___z

-

/ / / /

/

/ / / /

/ /

/

- H

0

W I

a

Fig. 9: Longitudinal profiles f o r the observation period o n March 17, 1984. stage rises (flood t ide) and falls during this period.

Station

Mouth A C D Mid E Head

0900 April 22 Depth along channel

3-4 feet Resistance Value

Manning’s u/u, n

,046 4.9 .028 11.7 ,032 9.8 ,033 9.9 ,050 6.4 .062 5.1 ,032 9.1

1600 March 17 Depth along channel

4-6 feet Resistance Value

Manning’s u/u, n

,055 6.5 ,042 8.5 ,039 8.6 ,042 8.4 ,062 5.6 -048 7.2 ,051 6.5

1200 March 17 Depth along channel

6-8 feet Resistance Value

Manning’s u fu, n

,034 11.0 ,038 9.8 .036 9.9 .029 12.3 ,036 9.9 ,063 5.6 ,044 7.6

Tab. 1: Hydraulic resistance a t three chosen t imes .

The

C A T EN A-A n I n t e rd i II c ip I i II &cy J o u rn a I D f S 0 I L S C I E N C E- HY D R O L 0 G Y -G EO M 0 RP H 0 L 0 G Y

. -

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Hydrology of tidal channels, California 48 1

the full measurement period on each of the days when several stations were manned. However, hydraulic theory specifies that computation of resistance, either Manning n or the ratio u/u,, applies only in steady, uniform flow. Therefore, to sample resistance values along the length of the channel, three times were chosen which appear to sat- isfy the requirement. At 0900 hours April 22, when the flow was ebb, the wa- ter surface profile was neither extremely broken nor flat as it would be at max- imum tide. Depths along the channel from mouth to head at this time were from three to four feet. Distances used for computation of slope were from mid- points between gage locations.

Another example is 1600 March 17 when the flow was ebb, the depths along the channel were from four to six feet. The third example is 1200 March 17 when the flow was in flood, the depths were from six to eight feet. Tab. 1 shows the hydraulic resistance expressed as Mannings n and u/u,, for each station along the length of Tule Slough.

These values confirm the interpreta- tion of the water surface profiles in that the steep slope in the middle reach of channel is caused in part by higher val- ues for resistance. The roughness val- ues are scattered and not very consis- tent, but it appears that the steep slope in the reach from Stations E to Mid is related to high roughness, high values of n and low values of u/u,.

The computed values of roughness re- flect all the types of resistance, bank as well as bed irregularities and chan- nel alignment. We believe that the ma- jor part of the resistance comes from bed irregularities. As previously noted, the bed protuberance in the mouth- ward reach had an average amplitude

of 1.3 feet. Using an often-observed depth of six feet, the relative roughness, (depth/roughness height) is 4.5 which would be typical for a channel of mod- erate roughness.

Roughness at each station was great- est for intermediate stage (4-6 ft.). This range of elevation generally corresponds to the vegetated surfaces of the slump blocks. More data are needed to as- certain if this observation is repeated in other examples.

6 Hydraulic geometry

An attempt to describe the relations among width, depth, velocity, and dis- charge in a tidal channel has previously been made only by Myrick & Leopold (1963) in a Potomac estuary marsh. This is more complicated than in rivers because discharge and velocity become zero both at large depth (flood revers- ing to ebb) and at low depth (ebb re- versing to flood). Myrick and Leopold concluded (p. B15) that “the principal difference in the at-a-station hydraulic characteritics of estuarine and terrestrial streams is that the former have a much more rapidly changing velocity with dis- charge than do terrestrial rivers. This is compensated by a less rapidly changing depth and width with discharge.”

The same general conclusion is reached from the present study except that the difference between the estuarine and terrestrial channel is not as marked as found in the Potomac estuary study. Fig. 10 presents plots of width, depth, and velocity vs. discharge for the Mouth location. Our present data appear more scattered or less consistent than the sim- ilar data of Myrick and Loepold for rea- sons that can be only conjectured. The velocities of the present study are all

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482 Leopold, Collins & Collins

x E B B

o F L O O D A P R I L 22

.I I I I I I I l l

+ E B B * F L O O D

M A R C H 1 7

'1 I '

& O H

Fig. 10: Hydraulic geometry relations at M o u t h gage: m e a n

I O I O 0 I 000 ted us. discharge. D I S C H A R G E C F S

measurements by float, multiplied by 0.8 to approximate mean velocity for the cross section. The Potomac study mea- sured velocity by current meter. The cross sections in Tule Slough are less uni- form than those of the Potomac study owing to the prevalence of slump blocks that fall irregularly into the channel. An advantage of the present study is that for each of the two days of intensive obser- vation, all seven sections were measured simultaneously and by the same meth- ods. In our 1988 data, four sections were measured simultaneously.

The value of exponents in the hy-

draulic geometry at-a-station is tabu- lated here, w a: Q6, d a: Q f , v aQm:

b f 'hle Slough

Mouth gage . l l .35 E gage .ll .35 Head gage .17 .40

Wrecked Recorder Slough' .04 .18 Old Mill Creek' .OB .14 Ravenswood Slough' .14 .OB Terrestrial rivers, average2 .26 .40

From Myrick & Leopold (1963). Leopold, Wolman & Miller (1964).

m

.55

.55

.25

.78

.78

.78

.34

As in rivers, width increases downstream faster than depth, so width/ depth ra- tio increases downstream. As mentioned earlier, bed elevation intersects the level

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Hydrology of tidal channels, California 483

of MLLW near Mid gage, so at low flow, reaches upstream continue to drain through the whole ebb tide and become dry when water level falls to or be- low MLLW. Upstream of the intersec- tion, channels are narrow, deep, and U- shaped. In the downstream reaches the channels are more triangular or rounded in shape. The meaning of these shape relations to tide level cannot be ascer- tained from the few examples studied but appear to be distinctive enough to warrant further study.

In Wrecked Recorder Slough the high- est values of discharge, considered to be the effective discharge, tended to occur at bankfull, for the channel was regu- larly overtopped at high tide. Not so in Tule Slough, where bankfull is equalled or exceeded in only one of three high tides. The effective discharge is believed to be within banks, but at this time we are unsure how effective discharge should be defined in Tule Slough.

7 Suspended sediment concentrat ion

Observation in the field demonstrates that the water is more clear - less tur- bid - in upstream reaches of the tidal channels than near the mouth. Quan- titative data were needed to determine how large are the differences and what controls them.

In part to obtain suspended sediment samples over a wide range of channel size, two additional observation loca- tions were established on the headward portion of the main Tule channel, and one on a tributary. These are called, re- spectively, Railroad (RR), (CAN), and Tule Tributary West (TTW).

On September 7, 1988, simultaneous

measurements of suspended load and ve- locity were made at locations C, Head, TTW, CAN and RR during a six hour period of flood tide. The headward sta- tions were dry during the first part of the tidal cycle and measurements began when water reached each measurement point. Fig. 2 shows that the mean bed elevation at MLLW is near station E or about 7,000 feet from the mouth. There- fore, on the average, all of the channel upstream of that point is drained of wa- ter during ebb tide.

Suspended load was measured at in- tervals of 5 to 15 minutes at five lo- cations using a D64 sampler while at the same time water surface elevation was recorded and velocity was measured by surface floats. The data are plotted in fig. 11. Sediment concentration in- creases markedly with discharge at most stations, but there are unexplained devi- ations from this simple relation. There is a definite progression of decreasing val- ues of maximum sediment concentration from the large downstream channel sec- tions to the smaller upstream stations. The peak concentrations of 200 mg/l at section C is ten times larger than the maximum concentration at the upper- most location RR.

The temporal variability in sediment concentration at station C reflects the turbulent flow there. Rising and falling clouds of sediment were visible passing through the downstream section as sam- ples were taken, especially during the period of high velocity. The variability at TTW, a tributary confluent to Tule Slough near station C, also reflects this turbulent vertical mixing in the main channel, because flow at TTW was not turbulent. In general, turbulence de- creased with distance upstream.

The sediment concentration is not di-

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484 Leopold, Collins & Collins

- .5

- I

J

2 2 0 0

-. ,,.Q -- i -.e.--\_ L// +--- '4' /'-. / - - A

- .e A

- I I I- I I I I

s z

I- 2 a a I- z W 0 z 0 0

I- z W z n W 0 n W n z W a (I) 3 (0

0 W (I) \ I- LI. > 0 0 J W 7

t

I50

I O 0

50

0

,/.', R R

1 I I I i

I 3 0 0 I400 I 5 0 0 I600 I 1 0 0 I 2 0 0

H O U R

Fig. 11: Suspended sediment concentration as a function of time during flood tide at five stations on September 7, 1988. Below are plotted curves of mean velocity during the same observation period.

rectly related to velocity of flow, as can be seen by the data for station C in fig. 11. Similarly, at the headwater station RR, the maximum velocity oc- curred at 1435, but concentration con- tinued to increase until 1610. Nor does it correlate with water surface slope. Concentration most closely follows dis- charge, which is more dependent on stage (cross sectional area of flowing wa-

ter) than on either slope or velocity. These observations pose interesting

questions about both source and dis- position of sediments, and about pro- cesses of marsh history. The most obvi- ous areas of sediment accumulation that could be the source of suspended load in Tule Slough are the broad mud flats bordering many shorelines of San b a n - cisco Bay. Much of the material in these

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Hydrology of tidal channels, California 485

mud flats was derived from hydraulic mining of river valleys near the end of the 19th century. To provide passage of barge traffic, the outlet of Petaluma River is extensively dredged through the mud flats of the north border of San Pablo Bay.

The time of high tide at section C was about 1358 and low tides at 0753 and at 2004. Section C experienced a gradual increase in mean velocity to about 1130, from which time it remained nearly steady at 0.9 feet per second for 2 1/2 hours. Sediment concentration re- mained low until about the time veloc- ity reached 0.9 ft/sec and then rapidly increased from 40 to 200 mg/l. Concen- tration peaked at 1315, probably coin- ciding with maximum flood discharge.

We conjecture that sediment is not en- trained in quantity until some volume of discharge is reached and thereafter tends to follow the discharge curve. At up- stream locations both the discharge and sediment concentrations are lower. Be- cause these upstream channels are with- out water during part of the ebb cycle, they are progressively filled during the flood cycle. This filling must be by wa- ter of relatively high velocity, or surface water. Perhaps this skimming of surface water leaves behind the water near the bed where concentrations are highest.

This skimming does not mean that the sediment is deposited. It may re- main in suspension and be carried with the water in ebb flow. It is observed that the channel configuration remains amazingly constant for decades. Only the occasional tide is overbank, and such tides contribute to the natural levee seen bordering the channel in downstream reaches. But on the whole, the sus- pended load is washed upstream and downstream with very little deposition

in any short period of years.

Acknowledgements

Several colleagues and students manned the staff gages to read gage heights and measure velocities over long hours. Dr. Kirk Vincent was most helpful both in instrumentation and in making observa- tions.

Dr. W.W. Emmett, of the U.S. Geo- logical Survey, provided many forms of assistance, including the analysis of sus- pended load samples in the laboratory.

Dr. Kent G. Dedrick arranged for a levelling survey by the California State Lands Commission to connect our level network to the NOAA gage at Lakeville. This was an important contribution to the study.

References

COLLINS, L.M., COLLINS, J.N. & LEOPOLD, L.B. (1987): Geomorphic processes of an estuarine marsh: Preliminary results and hypotheses. Internat. Geomor- phology 1986, Part I . John Wiley & Sons Ltd., 1049-1071.

LEOPOLD, L.B., WOLMAN, M.G. & MILLER, J.P. (1964): Fluvial Processes in Geomorpholigy. W . Freeman Co., San Francisco.

MYRICK, R.M. & LEOPOLD, L.B. (1963): Hydraulic geometry of a small tidal estuary. U.S. Geological Survey Prof. Paper 422B, 18 pp.

REED, D.J. (1987): Temporal sampling and discharge asymmetry in salt marsh creeks. Estuarine, Coastal and Shelf Sciences 25, 459-466.

S T E V E N S O N , R.E. & EMERY, K.O. (1958): Marshlands at Newport Bay, Cal- ifornia. Allan Hancock Foundation Occa- sional Paper No. 20.

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486 Leopold, Collins & Collins

Explanation of tables in Appendices

Elevation:

Velocity:

Width:

Area:

Depth: Discharge: Slope:

Observed gage heights adjusted to datum of MLLW at Lakeville tide gage near mouth of Tule Slough. Mean velocity is float velocity observed multiplied by 0.8 to approximate mean for section. Water surface width excluding shallow water overflowing slump blocks at high stage. Planimetered cross sectional area of flowing water excluding overflow as in width described. Area defined above divided by width as defined above. Product of area defined above and mean velocity as defined above. For a given station computed as water surface elevation difference between the station upstream and the one downstream divided by distance along channel between those gages.

Positive values refer to ebb tide. Negative values refer to flood tide.

Throughout this paper MHW is the arithmetic mean elevation of all high tides, two per lunar day, for the tidal epoch ending in 1978. MHHW is the arithmetic elevation of the highest of the two tides in a day. MLLW is the mean of the lower of two tides in each day. All elevations are referred to the datum of MLLW at the NOAA tide gage at Lakeville, California (gage no. 9415423), which is the near the mouth of Tule Slough.

The data in these appendices have been tabulated for intervals of one half hour though the original data include observations made at intervals of a few minutes and thus show many details. But for general purposes the uniform time intervals give an uncluttered sense of relationship. For some purposes those details may be important and are on file.

From T o Distance C Distance ( f t ) ( f t )

Petalunia River Mouth 800 800 Mouth A 1240 2040 A C 1390 3430 C D 1155 4585 D Mid 1165 5750 Mid E 1970 7720 E Head 6405 14125 Head Railroad 4882 19007

Appendix 1: Distance between gages, Petalurna Marsh along centerline of channel, feet .

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Hydrology of tidal channels, California 487

Hour Elevation Velocity Width Area Depth Discharge Slope

MLLW ( f t ) ( f t / w c ) ( f t ) (ft2) ( f t ) ( f t3 /s ) XIOs above V W A d Q 5

0530 5.25 0600 5.15 0630 4.93 0700 4.58 0730 4.04 0800 3.49 0830 2.91 0900 2.37 0930 1.88 1000 1.50 1030 1.16 1100 0.81 1130 0.54 1200 0.26 1230 -0.02 1300 -0.20 1330 -0.36 1400 -0.36 1430 -0.70 1500 0.12 1530 0.67 1600 1.35 1630 2.03 1700 2.69 1730 3.32 1800 3.90 1830 4.37 1900 4.65

0.00 47 336 0.24 47 333 0.4G 47 322 0.64 47 304 0.49 47 280 0.51 46 254 0.56 46 227 0.42 45 205 0.53 43 181 0.45 42 166 0.44 4 1 151 0.42 39 137 0.34 38 1 Z G 0.24 36 117 0.20 35 106 0.36 34 101 0.24 34 94 0.18 34 94 0.00 34 101

-0.18 35 111 -0.33 39 131 -0.43 42 158 -0.52 44 188 -0.64 46 216 -0.56 46 246 -0.56 46 273 -0.53 47 294 -0.49 47 308

7.1 7.1 6.8 6.5 6.0 5.5 5.0 4.6 4.2 3.8 3.7 3.5 3.3 3.2 3.0 3.0 2.8 2.8 3.0 3.1 3.4 3.8 4.3 4.7 5.3

0 80

148 195 137 130 127

86 96 75 66 58 43 28 21 36 23 17 0

-20 -39 -68 -98

-138 -138

4.0 3.2 4.0 5.6 4.8 4.8 3.2

-0.80 2.4 1.6 4.8 4.8 2.4 2.4 1.4

-1.G 0 0.8

-2.4 -0.8

5.9 -153 1.6 6.3 -156 -2.4 6.6 -151 -3.2

Appendix 2: Mouth gage, Petalurna Marsh, April 22, 1984. Slope: Mouth to A .

Hour Elevatioii Velocity Width Area Depth Discharge Slope above V W A d Q 5

MLLW (f t ) ( f t / sec) ( f t ) (ft’) ( f t ) (ft3/s) x105

0800 3.54 1.06 26 143 5.5 152 6.5 0830 2.95 1.09 26 128 4.9 140 5.7 0900 2.42 1.06 26 115 4.4 122 5.7 0930 1.95 0.92 26 101 3.9 93 5.3 1000 1.56 0.77 24 92 3.8 71 3.8 1030 1.22 0.74 22 85 3.8 63 3.4 1100 0.85 0.64 2 1 77 3.6 49 1.9 1130 0.53 0.64 2 1 70 3.4 45 1.5 1200 0.29 0.56 20 66 3.3 37 1.2 1230 0.04 0.52 20 60 3.1 3 1 1.1 1300 -0.14 0.50 19 57 3.0 29 2.3 1330 -0.30 0.40 19 54 2.8 22 2.3 1400 -0.33 0.30 19 53 2.7 16 0.4 1430 -0.17 0.08 19 57 2.9 5 1.2 1500 -0.14 -0.10 20 63 3.2 -G -0.4 1530 0.65 -0.41 21 73 3.5 -30 -2.7 1600 1.35 -0.56 23 87 3.8 -49 -2.2 1630 2.04 -0.66 2G 103 4.0 -68 -2.2 1700 2.66 -0.62 26 120 4.6 -74 -2.7 1730 3.31 -0.74 26 137 5.3 -101 -3.4 1800 3.88 -0.8G 26 152 5.8 -131 -1.1 1830 4.34 -0.84 26 164 6.3 -138 -1.2 1900 4.69 -0.79 2G 172 6.6 -136 -2.7

Appendix 3: A gage, Petaluma Marsh, April 22, 1984. Slope: Mouth to C.

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488 Leopold, Collins & Collins

Hour Elevation Velocity Width Area Depth Discharge Slope above V W A d Q 5

MLLW ( f t ) ( f t / sec) ( f t ) (r t2) ( f t ) (r t3 /s ) x105

0900 2 . G 5 1.19 28 93 3.4 111 13.3 0930 2.14 0.92 27 79 2.9 73 16.8 1000 1.76 0.82 26 70 2.6 57 19.4 1030 1.44 0.76 25 61 2.5 46 19.4 1100 1.10 0.68 24 63 2.3 36 24.2 1130 0.88 0.55 23 47 2.1 26 29.3 1200 0.56 0.68 22 40 1.8 27 37.0 1230 0.34 0.52 21 35 1.7 18 40.5 1300 0.20 0.48 20 32 1.6 15 46.1 1330 0.10 0.45 20 30 1.5 14 49.5 1400 0.04 0.26 20 28 1.4 7 50.0 1430 -0.02 0.26 20 27 1.4 7 40.4 1500 0.13 0.00 20 3 1 1.5 0 39.3 1530 0.53 -0.10 22 39 1.8 - 4 -3.1 1600 1.20 -0.40 24 55 2.3 -22 -9.1 1630 1.95 -0.76 27 73 2.8 -55 -6.1 1700 2.60 -0.80 28 92 3.3 -74 -5.6 1730 3.19 -0.72 28 107 3.8 -77 -6.9 1800 3.65 -0.78 28 121 4.3 -94 -10.0 1830 4.33 -0.79 28 140 5.0 -111 -4.7 1900 4.65 -0.67 28 149 5.3 -100 -1.8

L

Hour Elevation Velocity Width Area Depth Discharge Slope above V W A d Q 5

MLLW ( f t ) ( f t / sec) ( t t ) (ft2) (ft) ( f t3 / s ) x105

0800 3.66 0.82 40 153 3.8 126 0830 3.06 0.84 39 129 3.3 108 0900 2.52 0.92 36 104 3.0 96 9.2 0930 2.02 1.18 35 92 2.6 108 7.7 1000 1.60 0.75 34 77 2.3 58 8.4 1030 1.25 0.76 32 62 2.1 49 9.4 1100 0.86 0.87 30 58 1.8 46 10.8 1130 0.57 0.84 29 47 1.6 38 13.9 1200 0.28 0.78 27 36 1.3 29 12.1 1230 0.05 0.68 26 26 1.1 2 1 12.9 1300 -0.14 0.54 25 26 1.0 14 14.7 1330 -0.30 0.56 24 22 0.9 12 17.3 1400 -0.35 0.44 24 19 0.8 8 16.9 1430 -0.19 0.20 25 24 1.0 5 7.4 1500 0.13 0.0 27 33 1.2 0 -0.4 1530 0.60 -0.28 29 46 1.6 -12 -4.9 1600 1.29 -0.58 32 67 2.1 -39 -6.1 1630 1.98 -0.58 34 90 2.6 -53 -3.9 1700 2.62 -0.74 37 113 3.0 -84 -2.3 1730 3.23 -0.82 39 135 3.5 -111 -4.7 1800 3.85 -0.90 40 160 4.0 -145 -9.8 1830 4.35 -0.84 40 181 4.5 -152 0.4 1900 4.66 -0.64 40 192 4.8 -123 -1.6

Appendix 4: C gage, Petaluma Marsh, April 22, 1984. Slope: A to D.

Appendix 5: D gage, Petaluma Marsh, April 22, 1984. Slope: C to Mid.

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Hydrology of t idal channels, California 489

Hour Elevation Velocity Width Area Depth Discharge Slope above V W A d Q 5

MLLW ( f t ) ( f t /sec) ( f t ) ( f t2) ( f t ) ( f t3 /s ) x105

0900 2.83 0.84 37 121 3.2 102 16.6 0930 2.41 0.80 35 107 3.0 86 18.5 1000 2.05 0.79 34 93 2.7 73 19.8 1030 1.70 0.66 33 81 2.4 53 21.3 1100 1.42 0.GO 32 72 2.2 43 25.5 1130 1.25 0.48 3 1 66 2.1 32 27.9 1200 1.09 0.42 30 62 2.0 26 24.7 1230 0.99 0.28 29 59 2.0 17 40.9 1300 0.93 0.24 29 56 1.9 13 43.8 1330 0.85 0.16 28 55 1.9 9 45.7 1400 0.81 0.21 28 53 1.9 11 46.0 1430 0.74 0.23 28 52 1.8 12 46.8 1500 0.70 0.20 28 51 1.8 10 38.7 1530 0.69 0.12 28 5 1 1.8 6 20.3 1600 1.08 -0.36 30 62 2.0 -22 -6.2 1630 1.84 -0.80 34 87 2.5 -70 -14.5 1700 2.49 -1.00 36 109 3.0 - 109 -17.7 1730 3.07 -1.12 38 129 3.4 -144 -14.8 1800 3.68 -1.34 39 153 3.9 -205 -8.4 1830 4.24 -1.10 43 176 4.4 -194 -10.0 1900 4.62 -0.76 44 191 4.7 -143 -4.9

Appendix 6: Mid gage, Petaluma Marsh, April 22, 1984. Slope: D to E.

Hour Elevation Vclocity Width Area Depth Disrhargr Slope above V W A d Q 5

MLLW (ft) ( f t /sec) ( f t ) (rt2) ( f t ) ( f t3/s) x 1 0 5

0800 3.98 0.30 36 133 3.7 40 0830 3.53 0.GG 35 117 3.4 76 0900 3.18 0.08 34 106 3.1 72 17.8 0930 2.68 0.68 32 89 2.8 6 1 13.7 1000 2.34 0.68 3 1 78 2.5 53 14.7 1030 2.10 0.68 30 72 2.3 49 20.3 1100 1.88 0.60 30 65 2.2 39 23.4 1130 1.72 0.59 29 GO 2.0 35 23.9 1200 1.56 0.60 28 55 1.9 33 23.9 1230 1.50 0.57 28 53 1.9 30 25.9 1300 1.42 0.42 28 52 1.8 22 24.9 1330 1.38 0.34 28 50 1.8 17 26.9 1400 1.32 0.29 27 48 1.8 14 25.9 1430 1.28 0.33 27 47 1.7 16 27.4 1500 1.26 0.40 27 47 1.7 19 28.4 1530 1.22 0.30 27 45 1.7 14 26.9 1600 1.18 0.20 27 44 1.7 11 5.1 1630 1.44 -0.04 28 52 1.9 -2 -20.3 1700 2.00 -0.90 30 68 2.2 -61 -25.9 1730 2.74 -1.22 33 92 2.8 -112 -19.3 1800 3.40 -1.20 34 113 3.3 -13G -14.2 1830 4.00 -1.08 36 134 3.7 -145 -12.2 1900 4.48 -0.94 36 151 4.2 -142 -7.1

Appendix 7: E gage, Petaluma Marsh, April 22, 1984. Slope: Mid to E.

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Hour Elevation Velocity Width Area Depth Discharge Slope above V W A d Q 5

MLLW (ft) ( f t /sec) ( f t ) ( f t2) (ft) ( f t3 /s ) x105

0800 4.20 0.32 14 32 2.3 10 3.4 0830 3.80 0.32 14 26 1.9 8 4.2 0900 3.41 0.43 14 21 1.9 9 3.6 0930 3.07 0.44 13 17 1.3 7 6.1 1000 2.77 0.38 12 13 1.0 5 6.7 1030 2.52 0.42 11 10 0.9 4 6.6 1100 2.32 0.37 10 8 0.7 3 6.9 1130 2.16 0.29 9 6 0.6 2 6.9 1200 2.05 0.30 9 5 0.5 2 7.7 1230 1.96 0.28 8 3 0.5 1 7.2 1300 1.90 0.24 8 3 0.4 1 7.5 1330 1.87 0.21 8 3 0.4 1 7.7 1400 1.84 0.13 8 3 0.4 0 8.1 1430 1.82 0.09 7 2 0.4 0 8.4 1500 1.81 0.09 7 2 0.4 0 8.6 1530 1.80 0.04 7 2 0.4 0 8.7 1600 1.79 0.10 7 2 0.4 0 9.5 1630 1.78 0.08 7 2 0.4 0 5.3 1700 1.78 0.10 7 2 0.4 0 -3.4 1730 1.78 0.08 7 2 0.4 0 -15.0 1800 2.44 -0.89 10 8 0.9 -7 -15.0 1830 3.55 -0.78 14 23 1.7 -18 -7.0

Appendix 8: Head gage, Petaluma Marsh, April 22, 1984. Slope: E to Head.

Hour Elevation Velocity Width Area Depth Discharge Slope above V W A d Q 5

MLLW (f t ) ( f t / sec) ( f t ) (ft’) ( f t ) ( f t s / s ) x105

1000 3.57 -0.83 46 257 5.6 213 1030 4.63 -1.02 47 307 6.6 -313 -2.4 1100 5.36 -1.14 47 343 7.3 -391 -4.8 1130 5.96 -0.96 47 370 7.9 -355 -2.4 1200 6.36 -0.88 47 388 8.3 -341 -2.4 1230 6.61 -0.60 47 402 8.5 -241 0 1300 6.76 -0.70 47 407 8.7 -285 -0.8 1330 6.79 -0.67 47 409 8.7 -274 0.8 1400 6.72 -0.32 47 406 8.6 -130 1.6 1430 6.37 0.54 47 389 8.3 210 4.8 1500 5.78 1.04 47 361 7.7 375 10.1 1530 4.98 1.29 47 324 7.0 418 15.1 1600 4.19 1.20 47 287 6.1 344 17.3 1630 3.38 1.24 46 250 5.4 310 18.0 1700 2.63 1.08 45 213 4.7 230 10.1

Appendix 9: Mouth gage, Petaluma Marsh, March 17, 1984. Slope: Mouth to A .

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Hydrology of tidal channels, California 49 1

Hour Elevation Velocity W i d t h Area Dep th Discharge Slopc abovc V W A d Q 5

MLLW ( f t ) (ft/sec) ( f t ) ( r t 2 ) ( f t ) ( r t3 / s ) x i o 5

Hour Elevatioii Vrlocity W i d t h A r r a Depth Diacliargt Slop(, above V W A d Q 5

MLLW ( f t ) ( f t /scc) ( f t ) (ft2) ( f t ) ( f t3/s) ~ 1 0 "

1030 4.GO -0.88 2 G 1 G G 6.4 -14G -8.7 1100 5.30 -0.80 2G 186 7.1 -148 -5.7 1130 5.93 -0.82 2 G 201 7.7 - 1 G 5 -4.G 1200 G . 3 3 -0.7G 2 G 212 8 . 1 -1G1 -2 .3 1230 G . G l -0.G8 2 G 220 8 . 5 -150 -0.7 1300 6 .75 -0.G1 2 G 225 8 . G -137 -0.8 1330 6.80 -0.54 2 G 228 8.8 -123 -0.3 1400 6.74 -0.36 2G 22.5 8 . G -81 1.1 1430 G.43 0.48 26 214 8.2 103 6.3 1500 5.88 1.18 2 G 200 7.7 23G 9 .1 1630 5.20 1.45 2G 182 7.0 2G4 G . 3 lG00 4.47 1.70 2 G 164 G . 3 279 19.8 1 ~ 3 0 3.G9 1.8G 2G 1 4 5 5 . G 270 21.3 1700 2.92 1.9G 2G 124 4.8 243 13.7

1

Appendix 10: A gage , Petaluma Marsh, March 17, 1984. Slope: Mouth to C.

Hour Elev;rt,ion Velocity Wid th Area Dr1,t.h D i s c l i a r y Slop? >tl>OVC. V W A <1 Q 5

MLLW ( f t . ) ( f t / s cc ) ( f t ) (ft') ( f t , ) ( f t 3 / s ) X105

1030 4.40 1100 6.21 1130 6.84 1200 G.30 1230 G.59 1300 G.74 1330 G . 8 1 1400 G.76 1430 G.51 1500 G . 2 0 1630 5.41 1G00 4.71 1630 3.94 1700 3.60

-0.97 40 182 4.5 -0.93 40 214 5.3 -0.89 40 240 G.O -0.G4 40 267 G.4 -0.G2 40 270 G 7 -0.50 40 274 6.8 -0.48 40 27G G.9 -0.18 40 274 G.9 0.58 40 2GG G.7 1.28 40 247 G . 2 2.24 40 23s 6.6 1.62 40 197 4.8 1.88 40 1 G 3 4 .8 1.48 39 129 3.2

-177 -8.0 -199 -G.3 -214 -4.1 -154 -2.0 -1G7 -l.G -137 -8.0 -132 -1.7

154 5.5 3 1 G 9.0 500 18.2 296 1g.9 30G 15 .1 191 22.4

- 4 9 0.8

Appendix 11: G gage , Petaluma Marsh, March 17, 1984. Slope: A to D.

6.14

1430 1500

5.64

4.18 3.46

-1.20 -1.30 -1.18 -0.92 -0.82 -0.60 -0.66 -0.68 -0.52 0.25 1.12 1.32 1.68 1.83 2.60

28 28 2 8 28 28 28 28 28 28 28 2 8 28 28 28 28

118 4.2

162 5.8 185 G.G 194 G.9 200 7.1

204 7.3

200 7.1 188 G.7 172 (3.1 157 5.6 135 4.8 I15 4.1

140 5.0

203 7.2

203 7.2

-142 -182 -191 -170 -169 -120 -134 -118 -1OG

50 211 227 2G4 247 23G

-9.9 -10.4

-6.G -2.0 -1 .0 -1.3 -1.3 1.8 6.4

12.5 17.7 22.4 24.1 36.G

Appendix 12: D gage, Petaluma Marsh, March 17, 1984. Slope: C to Mad.

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492 Leonold. Collins SC Collins

n Hour Elevatioii Velocit,y Width Area Depth Discharge Slope

above V W A d Q 5 MLLW ( f t ) ( f t / m c ) ( f t ) (ft2) ( f t ) ( f t3 / s ) X10’

1200 5.90 -0.50 14 56 4.0 -28 -3.4 1230 G.31 -0.34 14 60 4.2 -20 -2.5 1300 6.53 -0.28 14 65 4.6 -18 -2.0 1330 6.62 -0.31 14 66 4.7 -20 -1.9 1400 6.67 -0.30 14 6 7 4.8 -20 -1.4 1430 6.69 -0.29 14 6 7 4.8 -19 0.3 1500 6.60 0.10 14 6 6 4.7 5 3.3 1530 6.38 0.45 14 62 4.4 22 5.9 I600 5.98 0.62 14 56 4.0 28 7.0 1630 5.48 0.83 14 5 2 3.7 34

Hour Elcvat,ioii Velocity W i d t h Arca Depth Dischirrgc Slopc xbovc V W A d Q 5

MLLW ( r t ) (rt /scc) ( f t ) (r t2) ( f t ) ( r t 3 j s ) ~ 1 0 ~

1030 4.17 -1.29 4 0 180 4.4 -232 -17.3 1100 4.97 -1.26 40 203 5.0 -25G -13.9 1130 6.71 -1.25 40 239 5.9 -299 -9.5 1200 G.23 -1.00 40 254 6.3 -254 -5.0 1230 6 .53 -0.82 4 0 267 6.6 -219 -3.2 1300 (3.71 -0.76 40 274 6.8 -20G -2.1 1330 G.78 -0.70 40 278 6.9 -195 -1.0 1400 (3.79 -0.42 4 0 278 G.9 -117 -0.7 1430 G . G 3 0.18 40 272 6.7 49 3.8 1500 6.31 0.74 40 257 6.3 190 10.7 1530 5.82 0.08 40 237 5.8 232 l G . G lG00 5.23 1.08 40 215 5.3 232 21.8 l G 3 0 4.GO 1.18 40 188 4.0 222 1700 3.91 1.08 4 0 1G2 4.0 175

U -~

Appendix 13: Mid gage, Petaluma Marsh, March 17, 1984. Slope: D to E.

H o u r Elevxtioii Vclocity W i d t h Area Dcptli Discliargc Slo l~e above

1030 3 . 8 4 -0.88 3 5 128 3.6 -113 -1G.8 1100 4.71 -0.99 157 4.3 -155 -13.3 1130 5.52 -0.80 183 5.1 -183 -9.6

G . 1 2 -0.66 -203 -5.G -0.54 -217 -0.52

1330 G.74 -0.41 -226 1400 G.76 -0.2G 227 -227 -1.5 1430 6.G7 0.04 223 2.0 1500 (5.30 0.86 184 4.1 1530 (5.00 1.04 199 5.5 207 9.1 I G O O 5.53 1.14 187 5.2 213 15.2

Appendix 14: E gage, Petaluma Marsh, March 17, 1984. Slope: Mad to E.

Appendix 15: Head gage, Petaluma Marsh, March 17, 1984. Slope: E to Head.

C A T E N A A I I I l i t e l r l i s c i p I I I I bi y . I , , 11 1 11 d l , , t RC) I L S C I E N C E ~- H Y D R O L O G Y -- C EO&! 0 R . P H O L 0 G Y

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Hydrology of tidal channels, California 493 ____

- Hoiir Elevetioii V(.locit.y W i d t h A r c ~ a Deptl i Discliary

;rl,ov(* V W A (1 Q MLLW ( f t . ) ( f t / s e c ) ( f t ) ( f t 2 ) ( f t , ) ( f t, 3 / s )

1030 0.89 -0.11 3 0 66 1.8 - G 1100 1.G9 -0.48 34 80 2.4 -38 1130 2.G8 -1.07 37 114 3.1 -121 1200 3.8G -1.20 4 0 1G0 4.0 -192 1230 4.G4 -1.17 40 192 4 .8 -224 1300 5.30 -1.08 40 218 6 .4 -236 1330 5.77 -1.13 40 237 6.9 -2G7 14 00 (7.16 -0.78 40 262 G . 3 - 1 9 G 1430 G.32 -0.68 40 25D G . 6 -160 1600 G.34 -0.15 40 260 G.G -38 1630 G.21 + 0 .4 0 40 266 6.4 + l o 2

Appendix 16: Channel data, C gage, September 7, 1988.

Hour Elc-vat,ioii Vclocity Width Arra Dcptli Discliargv S l o ~ ) c S1o1)c

MLLW ( f t ) ( f t /s<.c) ( f t ) ( f t 2 ) ( f t ) ( f t ,3/s) X 1 0 " X 1 0 "

ii 1 )o ve V W A d Q 5 5

1300 4.03 -0.93 14 32 2 . 3 - 3 0 -11.9 -37 -0.2 C to 1330 5.11 - 0 . 7 9 1 4 47 3.4

1400 5.67 - 0 . G 2 14 6 4 3 .8 -33 -6.4 R.iiilroad 1430 (3.07 - 0 . 4 6 14 G O 4.3 -27 -2.3 - 5 . G 1500 0.20 -0 .27 14 G 3 4 .5 -17 -1.4 -3.2 1630 (3.23 -0.14 14 G 3 4.5 -9

' Flow revcwnl dowiistremi a t C page.

Appendix 17: Channel data , Head gage, September 7, 1988. Slope: C to Head.

Hour Elrvatioir Vclocity Widt Ii Area Dcptli DiscliarKt. Slop(.

MLLW ( f t ) ( f t , /sec) ( f t , ) (ft,') ( f t , ) ( f t ,3/s) ~ 1 0 " abovr W A

1430 6.44 -0.52 4 2.96 0.73 -1.63 -12.9 1600 5.83 -0.37 G 6.39 0.90 -1.99 -7.G 1530 (3.05 -0.30 7 7.75 1.10 -2.32 -3.7 lG00 G . l l -0.20 7 8.00 1.27 -1.78

* Flow rrvrrsel dowustrciriu ;it Hei rd girgc.

Appendix 18: Channel data, RR gage, September 7, 1988. Slope: Head to RE.

Addresses of authors: Dr. Luna B. Leopo ld Department of Geology and Geophysics University of California Berkeley, CA, U.S.A. Dr. Joshua N. Collins Department of Geography University of California Berkeley, CA, U.S.A.

Laurel M. Collins Lawrence Berkeley Laboratory Berkeley, CA, U.S.A.

C A T E N A- A I I I n t e r d i s ci p I i ita L y .I ,.I II I I I d I o f S 0 I L B C: I EN I: E- H Y D R O L 0 G Y - G E O M 0 R P H 0 L 0 C: Y