Additional note to the eleventh series of researches on the tides

As an appendix to his former memoir on tide observations, the author gives in the present paper the results of observations made at Petropaulofsk, in the bay of Avatcha, in Kamtchatka, lat. 53° 1' N., long. 158° 44' E., by the officers and men of the Seuivine, commanded by the present Russian Admiral Lütke; and which were conducted with great care and perseverance. The height of the surface was noted every ten minutes, both day and night, and when near its maximum every two minutes. It appears from these observations that the high water is affected in its time by a very large diurnal inequality, reaching the enormous amount of above four hours; while its height is only slightly affected by an inequality of that kind; the greatest alternate inequalities of height were something more than a foot. In the low waters, there appears a much smaller inequality in the times, seldom amounting to more than one hour; but with regard to height, the diurnal inequality is much larger than that for high water, reaching to three, or even four feet; and this in a tide of which the whole rise, from the lowest to the highest, rarely exceeds five feet. The theory of these phenomena is then discussed.

1983 ◽  
Vol 29 (101) ◽  
pp. 28-47 ◽  
Author(s):  
A. Iken ◽  
H. Röthlisberger ◽  
A. Flotron ◽  
W. Haeberli

Abstract Results of systematic movement studies carried out by means of an automatic camera on Unteraargletscher since 1969 are discussed together with supplementary theodolite measurements made at shorter intervals and over a longer section of the glacier. In addition to the typical spring/early summer maximum of velocity known from other glaciers, an upward movement of up to 0.6 m has been recorded at the beginning of the melt season. It was followed, after a few fluctuations of the vertical velocity, by an equal but slower downward movement which continued at an almost constant rate for about three months. Possible explanations of the uplift are discussed, the most satisfactory explanation being water storage at the bed. The observations then suggest that this storage system is efficiently connected with the main subglacial drainage channels only during times of very high water pressure in the channels. Detailed measurements showed that the times of maximum horizontal velocity coincided with the times of maximum upward velocity rather than with the times when the elevation of the surveyed poles had reached a maximum. On the basis of the hypothesis of water storage at the bed this finding means that the sliding velocity is influenced mainly by the subglacial water pressure and the actual, transient stage of cavity development, while the amount of stored water is of lesser influence.


1840 ◽  
Vol 130 ◽  
pp. 255-272 ◽  

The subject of the present communication is different in its nature from those of previous memoirs on the tides presented by me, and printed by the Society; since it refers, not to comparison of the times and heights of different tides, but to the rate of the rise and fall of the surface of the water in successive stages of the same tide. This inquiry has often been prosecuted at particular places by naval observers, and is of very material importance to navigation. For even supposing the time and height of high water to be known, it is still often requisite, for nautical purposes, to know the height of the water at a given interval before or after the moment of high water. And this inquiry may be the more useful, inasmuch as the laws of rise and fall of the surface are nearly the same at all places; the differences being, for the most part, of such a kind as can be ascertained and allowed for without much difficulty. Hence these laws, once stated, will be applicable on every coast; and the knowledge of them may supersede those laborious trains of observation which have often been instituted in order to ascertain the laws at particular places. The materials of the present investigation (which is principally founded upon ob­servation) are the following: —Five months’ tide observations made at Plymouth, in which, besides the time and height of high and low water, the time of the surface passing two lines above the level of mean water was carefully observed; these latter observations being made, at my request, by direction of the Lords Commissioners of the Admiralty: —Three months’ observations (taken out of a larger series) made at Liverpool, under the direction of Capt. Denham, R. N., in which the height of the surface was noted every half hour: —and twelve months’ observations made at Bristol by Mr. Bunt, by means of his tide-gauge. The latter observations were reduced by Mr. Bunt himself; the others were discussed under my direction by Mr. Dessiou and Mr. Ross, of the Hydrographer’s Office, with their usual care and skill.


On a representation made by the author of the advantages which would result from a series of simultaneous observations of the tides, continued for a fortnight, along a great extent of coast, orders were given for carrying this measure into effect at all the stations of the Preventive service on the coasts of England, Scotland, and Ireland, from the 7th to the 22nd of June inclusive. From an examination of the registers of these observations, which were transmitted to the Admiralty, but part of which only have as yet been reduced, the author has been enabled to deduce many important inferences. He finds, in the first place, that the tides in question are not affected by any general irregularity, having its origin in a distant source, but only by such causes as are merely local, and that therefore the tides admit of exact determination, with the aid of local meteorological corrections. The curves expressing the times of high water, with relation to those of the moon’s transit, present a very satisfactory agreement with theory; the ordinates having, for a space corresponding to a fortnight, a minimum and maximum magnitude, though not symmetrical in their curvatures on the two sides of these extreme magnitudes. The amount of flexure is not the same at different places; thus confirming the result already obtained by the comparison of previous observations, and especially those made at Brest; and demonstrating the futility of all attempts to deduce the mass of the moon from the phenomena of the tides, or to correct the tables of the tides by means of the mass of the moon. By the introduction of a local, in addition to the general, semimenstrual inequality, we may succeed in reconciling the discrepancies of the curve which represents this inequality for different places; discrepancies which have hitherto been a source of much perplexity. These differences in the semimenstrual inequality are shown by the author to be consequences of peculiar local circumstances, such as the particular form of the coast, the distance which the tide wave has travelled over, and the meeting of tides proceeding in different directions; and he traces the influence of each of these several causes in producing these differences. A diurnal difference in the height of the tides manifests itself with remarkable constancy along a large portion of the coast under consideration. The tide hour appears to vary rapidly in rounding the main promontories of the coast, and very slowly in passing along the shores of the intervening bays; so that the cotidal lines are brought close together in the former cases, and, in the latter, run along nearly parallel to the shore; circumstances which will also account for comparative differences of level, and of corresponding velocities in the tide stream. The author intends to prosecute the subject when the whole of the returns of these observations shall have undergone reduction.


2016 ◽  
Author(s):  
Diana Fuentes-Andino ◽  
Keith Beven ◽  
Sven Halldin ◽  
Chong-Yu Xu ◽  
José-Eduardo Reynolds ◽  
...  

Abstract. Prevention and mitigation of floods require information on discharge and extent of inundation, commonly unavailable or uncertain, especially during extreme events. This study was initiated by the devastating flood in Tegucigalpa when Hurricane Mitch struck the city. In this study we hypothesised that it is possible to estimate, in a trustworthy way despite large data uncertainties, this extreme 1998 flood discharge and the extent of the inundations that followed, from a combination of models and post–event measured data. Post–event data collected in 2000 and 2001 were used to estimate discharge peaks, times of peaks and high water marks. These data were used in combination with rain data from two gauges to drive and constrain a combination of well–known models: TOPMODEL, Muskingum–Cunge–Todini routing, and the LISFLOOD–FP hydraulic model. Simulations were performed within the GLUE uncertainty–analysis framework. The model combination predicted peak discharge, times of peaks and more than 90 % of the observed high–water marks within the uncertainty bounds of the evaluation data. This allowed an inundation likelihood map to be produced. Observed high–water marks could not be reproduced at a few locations on the floodplain. These locations are useful to improve model set–up, model structure or post–event data–estimation methods. Rainfall data were of central importance in simulating the times of peak and results would be improved by a better spatial assessment of rainfall, e.g. from satellite data or a denser rain–gauge network. Our study demonstrated that it was possible, considering the uncertainty in the post–event data, to reasonable reproduce the extreme Mitch flood in Tegucigalpa in spite of no hydrometric gauging during the event.


Author(s):  
L. W. C. van Lit
Keyword(s):  

It is said that a stanza was found on Suhrawardī’s grave which reads:1 ~ the inhabitant of this grave was a pearl ~ ~ a hidden one, which God created out of nobility ~ ~ the times did not know his value ~ ~ so he returned it to the shell for the great care he had for it ~...


Keyword(s):  

This paper contains the result of an attempt to discover empirically the Laws of the Diurnal Inequality of the Times and Heights, and of the Solar Inequality of the Times of High Water at the Port of Bristol. The observations employed in this discussion are those that have been taken by the Bristol Self-registering Tide-Gauge, which has been kept steadily at work, with a few occasional interruptions, from the period of its erection in 1837 to the present time. This instrument consists essentially of a Clock, a Cylinder, a Ploat, and a Pencil, by means of which every tide marks a curve on a sheet of paper, from which the time and height of high water are ascertained. Its details are described, and an engraving of it given, both in the Philosophical Transactions for 1838, Part II., p. 249, and in the Article “Tides and Waves” in the Encyclopaedia Metropolitana, written by the present Astronomer Royal.


2017 ◽  
Vol 21 (7) ◽  
pp. 3597-3618 ◽  
Author(s):  
Diana Fuentes-Andino ◽  
Keith Beven ◽  
Sven Halldin ◽  
Chong-Yu Xu ◽  
José Eduardo Reynolds ◽  
...  

Abstract. Studies for the prevention and mitigation of floods require information on discharge and extent of inundation, commonly unavailable or uncertain, especially during extreme events. This study was initiated by the devastating flood in Tegucigalpa, the capital of Honduras, when Hurricane Mitch struck the city. In this study we hypothesized that it is possible to estimate, in a trustworthy way considering large data uncertainties, this extreme 1998 flood discharge and the extent of the inundations that followed from a combination of models and post-event measured data. Post-event data collected in 2000 and 2001 were used to estimate discharge peaks, times of peak, and high-water marks. These data were used in combination with rain data from two gauges to drive and constrain a combination of well-known modelling tools: TOPMODEL, Muskingum–Cunge–Todini routing, and the LISFLOOD-FP hydraulic model. Simulations were performed within the generalized likelihood uncertainty estimation (GLUE) uncertainty-analysis framework. The model combination predicted peak discharge, times of peaks, and more than 90 % of the observed high-water marks within the uncertainty bounds of the evaluation data. This allowed an inundation likelihood map to be produced. Observed high-water marks could not be reproduced at a few locations on the floodplain. Identifications of these locations are useful to improve model set-up, model structure, or post-event data-estimation methods. Rainfall data were of central importance in simulating the times of peak and results would be improved by a better spatial assessment of rainfall, e.g. from radar data or a denser rain-gauge network. Our study demonstrated that it was possible, considering the uncertainty in the post-event data, to reasonably reproduce the extreme Mitch flood in Tegucigalpa in spite of no hydrometric gauging during the event. The method proposed here can be part of a Bayesian framework in which more events can be added into the analysis as they become available.


1872 ◽  
Vol 7 ◽  
pp. 361-365
Author(s):  
E Sang

AbstractIn the course of physical inquiries we meet with many problems having the appearance of great simplicity, and yet presenting to the analyst difficulties of the highest order. The law of the motion of a heavy body along the circumference of a circle is one of these.One particular case of this motion, viz., the case of the swinging of a clock-pendulum, is of paramount importance, and has been investigated with very great care. In this case our attention is directed principally to the computation of the time of an entire oscillation, since it is this which determines the beating of the clock.


1840 ◽  
Vol 130 ◽  
pp. 161-174 ◽  

The tide observations which I recorded and discussed in my eleventh memoir on that subject, were laid before the Royal Society, because, though the different series of observations were both brief and imperfect, the features of the tide phenomena as there exhibited were novel; and it appeared desirable to put them on record with a view to future comparison with other places. I have now to notice other observations which I have received from another region, and which display similar features in a still more remarkable manner. These, with the results of a few other sets of observations, which may, I trust, hereafter be of use, I beg to lay before the Society, as an Appendix to my eleventh memoir on the subject of the Tides. The principal tide observations which I now bring forward are those for which I am indebted to the Russian Admiral Lὒtke. These observations were made in 1827 and 1828 by the officers and men of the Seniavine corvette, commanded by the (then) Captain Lütke. From the account given me of the mode of observing, it appears that they were made with proper apparatus and with great care and perseverance, as is indeed sufficiently shown by the observations themselves. At one place (Petro-paulofsk in Kamtchatka) the height of the surface was carefully observed every ten minutes day and night; and when near its maximum, every two minutes. And it is proper to remark, that this great care and labour, which would have been superfluous at most places, was necessary in this instance. If the observations had not been thus continued, they would not have enabled us to detect the very curious laws of the phenomena which I have now to describe.


1867 ◽  
Vol 15 ◽  
pp. 289-290
Keyword(s):  

This Paper contains the results of a Discussion of about 19,000 observations of Times and Heights of High Water at Bristol, for the purpose of obtaining the Empirical Laws of the Diurnal Inequalities of the Times and Heights, and of the Solar Inequality of the Times, of the tides at that port. Curves on Diagrams which accompany the Paper exhibit the results. The Observations were taken by a Self-registering Tide-Gauge, the Clock of which has from the first been regulated by transit observation.


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