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<br /> <br />30 <br /> <br />PHYSIOGRAPHIC AKD HYDRAULIC STUDIES OF RIVERS <br /> <br />of formation of diseontinuou.5 and continuous arroyos <br />is different, If the mechanics of the two are appreciably <br />different, the choice of control measures presumably <br />would be affected, <br />The salient characteristic of a discontinuous gully is <br />the relatively small gradient, or slope, of its bed, It is <br />this flat slope-less steep than the floor of the original <br />ungullied alluvial valley-that makes the gully dis- <br />continuous, for the bed profile must at some dO\,,~nstream <br />point intersect the profile of the original valley floor. <br />At that point the gully depth has diminished to zero, <br />and the flow of the gully spreads out over the valley <br />floor and at least part of the load is deposited in a low <br />fan. <br />Therefore. it is important to find an explanation for <br />the low gradient. Any discussion of such gullies which <br />does not provide an explanation of the mechanics by <br />which this flat slope is developed would miss the domi- <br />nant feature. Our approach to this aspect of the prob- <br />lem is essentially inductive, for there is a paucity of <br />adequate data on essential elements in the hydraulic <br />relations, However, as will be shown later, field charac- <br />teristics appear to support the conclusion reached in- <br />ductively, <br />Consider the wide, grassy floor of an alluvial valley <br />in the semiarid West before the recent epicycle of ero- <br />sion. Though the summer rains are of short duration <br />and intensity, the flash flows spread widely over the <br />valley, and channel storage consequently keeps the peak <br />discharge at any point to a small value per unit of <br />drainage area. The grassy floor offers resistance to the <br />flow of water and sediment contributed to the vallcy <br />floor from adjoining slopes, This resistance keeps the <br />velocity low and thus the sediment concentration is <br />small. The profile and cross section of such an ungullied <br />valley floor are shown as diagram 1 of figurc 26. <br />. Assume that local weakening of vegetation allows an <br />initial furrow, sCfil'plet, or small basin to form by erosion. <br />The cause of this lowered resistance to erosion could be <br />grazing or trampling by stock, fire, or an exceptional <br />local storm. The regional erosion in the vVest, which <br />began about 1880, is considered to be a result of a com- <br />bination of overgrazing and meteorologic shift, <br />Subsequent storms cause the head of this initial <br />erosion feature to progress up-vallcy, and the debris <br />excavated splays out at the downstream toc in the form <br />of a low fan, As soon as a short channel is formed, <br />terminating in a vertical head-cut, the concentration <br />of water in the f1umelike trench reduces channel <br />storage. Consequently, from a storm of given size, the <br />peak discharge passing through the channel is greater <br />than would have been experienced on the ungullied <br />valley floor. This increased peak discharge is accom- <br />panied by grcater velocity and cutting power, and the <br /> <br />initial gully advances so rapidly during storlllS that <br />growth of vegetation in the intervals between storms <br />cannot heal it. <br />Water pours over the lip and develops a plunge pool <br />at the toe. The original sod, even when weakened and <br />incomplete as a protective cover, keeps the lip of the <br />head-cut relatively stronger than the underlying <br />alluvium and the latter is cut away by the turbulence <br />in the plunge pool, leaving the root-bound lip over- <br />hanging the plunge pool. Undercutting by plunge-pool <br />action during storm flow is greatly aided by-and <br />perhaps is even less important than-slumping of the <br />moistened headwall after the storm flow ends. This <br />shun ping is promoted by piping holes (see fig. 5) which <br />develop on a diagonal line between the lower part of <br />the vertical headwall and the valley floor many feet <br />upstream from the head-cut. We have often observed <br />the upper cntrance to these piping holes on the swale <br />floor 50 feet from the head-cut. Piping permits water <br />to penctrate deeply into the material into which the <br />head-cut is eating, and this moisture aids the process <br />of sapping and slumping at the base of the headwall. <br />The plunge pool is always seen to be dug deeper <br />than the level of the floor of the discontinuous gully <br />just downstream from the plunge pool. This clearly <br />means that the floor of the discontinuous gully is <br />composed of a layer of newly deposited material which <br />overlies the undisturbed alluvium. This deposit is <br />laid in immediately below the plunge pool, and deposi- <br />tion proceeds upstream as fast as the plunge pool does. <br />These details of gully growth are important to an <br />understanding of the mechanics, for they show that <br />when a plunge pool is present, and it usually is, the <br />flat slope of the discontinuous gully is a grade oj deposi- <br />tion. Furthermore, these details point up a significant <br />difference between the action of flood flow in the <br />channel of a normal river and that of a developing <br />gully. The plunge-pool action tends to deepen the <br />channel faster than to widen it. In thc early stages <br />of gully development, then, the channel is relatively <br />narrow and deep. <br />At any time, the gully floor is built at such a slope <br />that the material coming into the reach will be trans- <br />ported through the reach under the particular condition <br />of roughness. At the early stage of gully development <br />no\v under consideration; the channel has eonsidcrable <br />depth but a restricted width. At the same time it is <br />forming a deposit just downstream from the plunge <br />pool and thus is currently forming its bed slope under <br />conditions in which slope can be adjusted with relative <br />rapidity, as compared to width. Under conditions <br />which prevail in ordinary rivers the reverse is true; <br />width adjusts rapidly during floods, but because of the <br />large amounts of material involved in appreciably <br />