JP6088862B2 - Open channel displacement meter - Google Patents
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本発明は、開水路式変位計に関するものであり、具体的には、短時間での正確な鉛直変位計測を可能とする開水路式変位計の技術に関する。 The present invention relates to an open channel displacement meter, and more specifically to an open channel displacement meter technique that enables accurate vertical displacement measurement in a short time.
構造物における鉛直方向の変位を計測する装置として、開水路式変位計が存在する。開水路式変位計は、大気に開放された状態のいわゆる開水路によって基本構造をなし、この開水路に沿って所定間隔で設けた一連の測点で変位計測を行うものである。また、各測点には、浮子を浮かべた水槽と、浮子の鉛直方向移動量を検知する渦電流センサとが設置されている。水槽は構造物と連結しており、構造物の沈下や隆起に伴って同様に沈下、隆起の動きを示す。例えば、構造物沈下に伴って、或る測点の水槽が沈下した場合、水槽沈下に関わらず水位一定である水面上の浮子天端と、水槽と共に沈下する渦電流センサとの間の鉛直距離が、沈下前の状態から変化する。この変化量から測点間の相対変位量を検出することが出来る。 There is an open channel displacement meter as a device for measuring a vertical displacement in a structure. An open channel type displacement meter has a basic structure with a so-called open channel that is open to the atmosphere, and performs displacement measurement at a series of measurement points provided at predetermined intervals along the open channel. Each measurement point is provided with a water tank with a floating float and an eddy current sensor for detecting the amount of vertical movement of the float. The aquarium is connected to the structure and shows the movement of the subsidence and uplift as the structure subsidence and uplift. For example, when a tank of a certain point sinks due to the subsidence of a structure, the vertical distance between the floating top of the surface where the water level is constant regardless of the tank subsidence and the eddy current sensor that sinks with the tank However, it changes from the state before subsidence. The relative displacement amount between the measurement points can be detected from the change amount.
このような開水路式変位計は、温度、湿度等の環境変化に対して安定した計測結果が得られる特性を有しており、長期にわたる安定的な変位計測が必要な状況に、よく適用されてきた。開水路式変位計の従来技術としては、例えば、不動点の間に張設した基準線状体に沿う液路を同不動点の間に形成し、その液路に貯留した液体中に基準線状体を保持することにより、基準線状体の見掛自重を軽減して自重ゆるみを抑制し、液体が持つ機械的・熱的ダンパー特性によって基準線状体の揺動や温度変動・温度変動に伴う伸縮を抑制する変位計測技術(特許文献1参照)などが提案されている。 Such an open-channel displacement meter has characteristics that provide stable measurement results against environmental changes such as temperature and humidity, and is often applied to situations where long-term stable displacement measurement is required. I came. As a prior art of an open channel displacement meter, for example, a liquid path along a reference linear body stretched between fixed points is formed between the fixed points, and a reference line is stored in the liquid stored in the liquid path. By holding the rod-like body, the apparent weight of the reference linear body is reduced to suppress loosening of its own weight, and the fluctuation of the reference linear body, temperature fluctuation, temperature fluctuation due to the mechanical and thermal damper characteristics of the liquid A displacement measurement technique (see Patent Document 1) that suppresses the expansion and contraction associated with is proposed.
しかしながら、従来の開水路式変位計は、構造物の挙動に応じた水槽内水面の揺動が収束するまで、正確な計測が困難であるため、アンダーピニング工法適用時の構造物の変位計測など、短時間で計測結果を得る必要がある状況には不向きであった。一方、そうした短時間での計測を行うべく、ダイヤルゲージ変位計等の計測機器を設置する場合、既存の開水路式変位計とは別の計測機構を付加することになり、導入・運用のコストや手間の増加につながっていた。 However, since the conventional open channel displacement meter is difficult to measure accurately until the fluctuation of the water surface in the aquarium according to the behavior of the structure converges, the displacement measurement of the structure when applying the underpinning method, etc. This is not suitable for situations where measurement results need to be obtained in a short time. On the other hand, when measuring equipment such as a dial gauge displacement meter is installed in order to perform such measurement in a short time, a measurement mechanism different from the existing open channel displacement meter is added. And led to an increase in labor.
そこで本発明は、短時間での正確な鉛直変位計測を可能とする開水路式変位計の技術の提供を目的とする。 Then, this invention aims at provision of the technique of the open channel type displacement meter which enables the accurate vertical displacement measurement in a short time.
上記課題を解決する本発明の開水路式変位計は、複数の測点に配置した水槽を水路にて連結し、測点での鉛直変位の発生前後における、水槽と水面位置との相対的な変化量に基づいて、測点に生じた鉛直変位を検出する、自由水面を有した開水路式変位計であって、2つ以上の測点の水槽を水路により閉回路状に連結してなることを特徴とする。 The open channel type displacement meter of the present invention that solves the above-mentioned problems connects aquariums arranged at a plurality of measurement points with water channels, and the relative relationship between the aquarium and the water surface position before and after occurrence of vertical displacement at the measurement points. An open channel displacement meter with a free water surface that detects the vertical displacement generated at a measurement point based on the amount of change, and is formed by connecting water tanks of two or more measurement points in a closed circuit form by a water channel It is characterized by that.
これによれば、測定対象の構造物に鉛直変位が生じた場合、この鉛直変位が生じた場所付近の測点に設置された水槽で水面揺動が生じるが、その水面揺動が、該当測点の水槽に連結された他の1点以上の測点の水槽に向け、2経路以上の水路に伝播する。そのため、従来の如く、閉じていない一列の水路と測点の水槽で構成された開水路式変位計と比較して、水面揺動の伝播経路が多くなり、ひいては、水面揺動により通常時水面より起伏した容積分の水が、従来より多い2経路以上の水路20に伝播することでより早く平準化され、迅速に揺動を収束させることが出来る。つまり本発明によれば、構造物で生じた鉛直変位に伴う開水路式変位計での水面揺動を迅速に収束させ、落ち着いた水面において、開水路式変位計における短時間での正確な鉛直変位計測が可能となる。なお、3点以上の測点の水槽を水路により閉回路状に連結した開水路式変位計の場合、上述の伝播経路増加の効果に加えて、ある1つの水槽で生じた水面揺動が、該当水槽の両側から延びる各水路を通って他の水槽に向け伝播することになり、水面揺動の時間当たり伝播面積が大きくなり、水面揺動の収束もより迅速化されることとなる。 According to this, when a vertical displacement occurs in the structure to be measured, the water surface shakes at the water tank installed near the location where the vertical displacement occurs. Propagates to two or more water channels toward one or more other water tanks connected to the point water tank. Therefore, as compared with the conventional open-channel displacement meter composed of a row of unclosed water channels and measurement point water tanks, there are more propagation paths for water surface fluctuations. The more undulating volume of water propagates to the two or more water channels 20 that are more than conventional, so that the water can be leveled more quickly and the oscillation can be quickly converged. In other words, according to the present invention, the water surface fluctuation in the open channel displacement meter due to the vertical displacement generated in the structure is quickly converged, and the accurate vertical displacement in the open channel displacement meter is settled in a short time on the calm water surface. Displacement measurement is possible. In addition, in the case of an open channel displacement meter in which three or more measuring tanks are connected in a closed circuit by a water channel, in addition to the effect of increasing the propagation path described above, the fluctuation of the water surface generated in one water tank is Propagation through the water channels extending from both sides of the water tank toward other water tanks increases the propagation area per hour of the water surface fluctuation, and the convergence of the water surface fluctuation is further accelerated.
また、本発明の開水路式変位計は、複数の測点に配置した水槽を水路にて連結し、測点での鉛直変位の発生前後における、水槽と水面位置との相対的な変化量に基づいて、測点に生じた鉛直変位を検出する自由水面を有した開水路式変位計であって、2つ以上の測点の水槽を水路により閉回路状に連結してなるユニットを複数備え、ユニット同士が各ユニットの少なくとも1つの測点の水槽もしくは水路を共有して結びついた構造を備えることを特徴とする。 In addition, the open channel displacement meter of the present invention connects water tanks arranged at a plurality of measurement points with water channels, and the relative change between the water tank and the water surface position before and after the occurrence of vertical displacement at the measurement points. Based on this, it is an open channel type displacement meter having a free water surface that detects vertical displacement generated at a measuring point, and includes a plurality of units in which water tanks of two or more measuring points are connected in a closed circuit shape by a water channel. The unit is provided with a structure in which the units are connected by sharing a water tank or water channel of at least one measuring point of each unit.
これによれば、測定対象の構造物に鉛直変位が生じた場合、この鉛直変位が生じた場所付近の測点の水槽で水面揺動が生じるが、その水面揺動が、該当測点の水槽を含むユニットにおける、連結された他の2点以上の測点の水槽に向け、2経路以上の水路に伝播し、更に、当該ユニットと測点の水槽を共有する他ユニットにも同様に伝播がなされるため、従来の如く、閉じていない一列の水路と測点の水槽で構成された開水路式変位計と比較して、更に迅速に揺動を収束させることが出来る。つまり本発明によれば、構造物で生じた鉛直変位に伴う開水路式変位計での水面揺動を迅速に収束させ、落ち着いた水面において、開水路式変位計における短時間での正確な鉛直変位計測が可能となる。 According to this, when a vertical displacement occurs in the structure to be measured, water surface fluctuation occurs in the water tank at the measurement point near the place where the vertical displacement occurs. Propagating to two or more connected aquariums in a unit containing two or more connected stations, and also to other units sharing the measuring tank with the unit. Therefore, the swing can be converged more rapidly as compared with a conventional open channel type displacement meter constituted by a single row of closed water channels and a measuring point water tank. In other words, according to the present invention, the water surface fluctuation in the open channel displacement meter due to the vertical displacement generated in the structure is quickly converged, and the accurate vertical displacement in the open channel displacement meter is settled in a short time on the calm water surface. Displacement measurement is possible.
本発明によれば、開水路式変位計における短時間での正確な鉛直変位計測が可能となる。 ADVANTAGE OF THE INVENTION According to this invention, the exact vertical displacement measurement in a short time in an open channel type displacement meter is attained.
以下に本発明の実施形態について図面を用いて詳細に説明する。図1は、本実施形態における開水路式変位計100の構造例1を示す平面図であり、図3は本実施形態における開水路式変位計100の構造例1を示す側断面図である。本実施形態における開水路式変位計100は、長期にわたる安定的な変位計測を従来通りに実行可能であると共に、短時間での正確な鉛直変位計測をも可能とする変位計である。図1、図3に示した開水路式変位計100は、所定間隔で設けた3つの測点10の水槽11を水路20にて三角形の閉回路状に連結した構造を備えている。また測点10のうち、いずれか一つの測点の水槽11は鉛直変位が生じない堅固な基礎2等に固定され、測点間の相対変位量の算定時における基準点10Bとなっている。また、図2、図4の構造例に示すように、3つの測点10の水槽11を水路20により三角形の閉回路状に連結してなるユニット50を複数備え、ユニット50同士が各ユニット50の少なくとも1つの測点10の水槽11ないし水路20を共有して結びついた構造を備えるとしてもよい。図2、図4に示す例では、2つの測点10C、10Bの水槽11とこれらを結ぶ水路20Aを、各ユニットで共有している。 Embodiments of the present invention will be described below in detail with reference to the drawings. FIG. 1 is a plan view showing a structural example 1 of an open channel displacement meter 100 in the present embodiment, and FIG. 3 is a side sectional view showing a structural example 1 of the open channel displacement meter 100 in the present embodiment. The open channel type displacement meter 100 according to the present embodiment is a displacement meter that can perform stable displacement measurement over a long period of time as usual and can also perform accurate vertical displacement measurement in a short time. An open channel displacement meter 100 shown in FIGS. 1 and 3 has a structure in which water tanks 11 of three measuring points 10 provided at predetermined intervals are connected by a water channel 20 in a triangular closed circuit shape. Moreover, the water tank 11 of any one of the measurement points 10 is fixed to a solid foundation 2 or the like that does not cause vertical displacement, and serves as a reference point 10B when calculating the relative displacement amount between the measurement points. As shown in the structural examples of FIGS. 2 and 4, a plurality of units 50 formed by connecting the water tanks 11 of the three measuring points 10 in a triangular closed circuit shape by the water channel 20 are provided. It is good also as providing the structure which shared and connected the water tank 11 thru | or the water channel 20 of at least 1 measuring point 10 of these. In the example shown in FIGS. 2 and 4, the water tanks 11 of the two measuring points 10C and 10B and the water channel 20A connecting them are shared by each unit.
また、図1、3の開水路式変位計100の形態とは異なり、2つの測点10の水槽11を水路20により閉回路状に連結した形態の開水路式変位計100を採用することも出来る。図5は本実施形態における開水路式変位計の構造例3を示す平面図であり、図6は本実施形態における開水路式変位計の構造例4を示す平面図である。 In addition, unlike the configuration of the open channel displacement meter 100 of FIGS. 1 and 3, the open channel displacement meter 100 having a configuration in which the water tanks 11 of the two measuring points 10 are connected in a closed circuit shape by the water channel 20 may be adopted. I can do it. FIG. 5 is a plan view showing Structural Example 3 of the open channel displacement meter in the present embodiment, and FIG. 6 is a plan view showing Structural Example 4 of the open channel displacement meter in the present embodiment.
図5、図7に示した開水路式変位計100は、所定間隔で設けた2つの測点10の水槽11を水路20にてループ状の閉回路形式で連結した構造を備えている。また測点10のうち、いずれか一つの測点の水槽11は鉛直変位が生じない堅固な基礎2等に固定され、測点間の相対変位量の算定時における基準点10Bとなっている。また、図6、図8の構造例に示すように、2つの測点10の水槽11を水路20によりループ状の閉回路形式で連結してなるユニット50を複数備え、ユニット50同士が各ユニット50の少なくとも1つの測点10の水槽11を共有して結びついた構造を備えるとしてもよい。図6、図8に示す例では、測点10Bを含むユニット50Aと、測点10Eを含むユニット50Bとで、水槽10Dを共有している。 5 and FIG. 7 has a structure in which a water tank 11 of two measuring points 10 provided at a predetermined interval is connected in a looped closed circuit form with a water channel 20. Moreover, the water tank 11 of any one of the measurement points 10 is fixed to a solid foundation 2 or the like that does not cause vertical displacement, and serves as a reference point 10B when calculating the relative displacement amount between the measurement points. Moreover, as shown in the structural example of FIG. 6, FIG. 8, it has two or more units 50 which connect the water tank 11 of the two measuring points 10 with the water channel 20 in the loop-shaped closed circuit form, and unit 50 is each unit. A structure in which 50 water tanks 11 of at least one measuring point 10 are shared and connected may be provided. In the example shown in FIGS. 6 and 8, the unit 50A including the measurement point 10B and the unit 50B including the measurement point 10E share the water tank 10D.
また、図9、図10に示した開水路式変位計100は、2つの測点10の水槽11を水路20によりループ状の閉回路形式で連結してなるユニット50を複数備え、ユニット50同士がユニット間をつなぐ水路20Aを共有して結びついた構造を備えるとしてもよい。図9、図10に示す例では、測点10B、10Fを含むユニット50Aと、測点10E、10Dを含むユニット50Bとで、水路20Aを共有している。 9 and 10 includes a plurality of units 50 formed by connecting the water tanks 11 of the two measuring points 10 in a looped closed circuit form with the water channels 20, and the units 50 are connected to each other. It is good also as providing the structure which shared and connected 20 A of water channels which connect between units. In the example shown in FIGS. 9 and 10, the water channel 20A is shared by the unit 50A including the measurement points 10B and 10F and the unit 50B including the measurement points 10E and 10D.
更には、図11および図12に示すように、4つの測点10の水槽11を水路20で閉回路状に連結してなる矩形のユニット50を複数備え、ユニット50同士が各ユニット50の少なくとも1つの測点10の水槽11を共有して結びついた構造を備えるとしてもよい。図11、図12に示す例では、ユニット50のうち、開水路式変位計100における端部側のユニット50Xにおいて、コーナー部の測点10D以外の測点10E〜10Gの水槽11と、測点10Dに連結された水路20B、20C以外の水路20D、20Eとが、周囲のユニットと共有されている。また、開水路式変位計100の端部以外にあるユニット、例えば図11中で示すユニット50Yにおいて、全ての測点10S〜10Vの水槽11と、開水路式変位計100の外周部にあたる水路20F以外の水路20G、20H、20Iとが、周囲のユニットと共有されている。 Furthermore, as shown in FIG. 11 and FIG. 12, a plurality of rectangular units 50 formed by connecting the water tanks 11 of the four measuring points 10 in a closed circuit shape with the water channels 20 are provided, and the units 50 are at least of each unit 50. It is good also as providing the structure which shared and connected the water tank 11 of the one measuring point 10. FIG. In the example shown in FIG. 11 and FIG. 12, in the unit 50X of the unit 50X on the end side in the open channel displacement meter 100, the aquarium 11 of the measuring points 10E to 10G other than the measuring point 10D of the corner portion, and the measuring point Water channels 20D and 20E other than water channels 20B and 20C connected to 10D are shared with surrounding units. Further, in a unit other than the end of the open channel displacement meter 100, for example, the unit 50Y shown in FIG. 11, the water tank 11 of all the measuring points 10S to 10V and the water channel 20F corresponding to the outer peripheral portion of the open channel displacement meter 100. The other water channels 20G, 20H, and 20I are shared with surrounding units.
図13は本実施形態の開水路式変位計100における水槽11の構造例を示す斜視図であり、図14は本実施形態の開水路式変位計100における水槽11の構造例を示す正面図であり、図15は本実施形態の開水路式変位計100における水槽11の構造例を示す側面図である。また、図16は本実施形態における水槽の構造例(通常時)を示す側断面図、および図17は本実施形態における水槽の構造例(変位時)を示す側断面図である。 FIG. 13 is a perspective view showing a structural example of the water tank 11 in the open channel displacement meter 100 of the present embodiment, and FIG. 14 is a front view showing a structural example of the water tank 11 in the open channel displacement meter 100 of the present embodiment. FIG. 15 is a side view showing an example of the structure of the water tank 11 in the open channel displacement meter 100 of the present embodiment. FIG. 16 is a side sectional view showing a structural example (normal time) of the water tank in this embodiment, and FIG. 17 is a side sectional view showing a structural example (displacement) of the water tank in this embodiment.
図13にて示すように、測点10では、構造物に固定されるベース部17を底部にして、箱形の水槽11が立設されている。この水槽11は、複数の水路20が連結されており、各水路20の内空は水槽11の内空と連通した状態となっている。 As shown in FIG. 13, at the measuring point 10, a box-shaped water tank 11 is erected with the base portion 17 fixed to the structure as a bottom portion. In this water tank 11, a plurality of water channels 20 are connected, and the inner space of each water channel 20 is in communication with the inner space of the water tank 11.
また、測点10の水槽11と水路20の各内空には、図14、図15で示すように、水12が蓄えられており、その水面13に浮子14を浮かべてある。水槽内天端15には、離間距離bb(図16参照)をとって浮子14の鉛直方向移動量を検知する渦電流センサ16が設置されている。また、水槽11は上述のベース部17を介して構造物1と一体に連結しており、構造物1の沈下や隆起といった鉛直変位aa(図17参照)に伴って、同様に沈下、隆起の動きを示す。 Further, as shown in FIGS. 14 and 15, water 12 is stored in the inner spaces of the water tank 11 and the water channel 20 of the measuring point 10, and the float 14 is floated on the water surface 13. An eddy current sensor 16 for detecting the vertical movement amount of the float 14 is installed at the top end 15 in the water tank at a separation distance bb (see FIG. 16). In addition, the water tank 11 is integrally connected to the structure 1 via the above-described base portion 17, and similarly, along with the vertical displacement aa (see FIG. 17) such as the sinking or rising of the structure 1, Show movement.
例えば構造物1が距離aaだけ沈下し(図17参照)、この沈下に伴って或る測点10の水槽11も沈下したとする。一方、各測点10の水槽11が蓄えている水12は、水路20を介して水槽11間で一体に挙動出来るため、上述の沈下が生じて水面が揺動するとしても、一定時間が経過すれば、各水槽11内の水12は、水槽沈下に関わらず水位一定を維持する。 For example, it is assumed that the structure 1 sinks by a distance aa (see FIG. 17), and the water tank 11 at a certain measurement point 10 also sinks along with the sinking. On the other hand, the water 12 stored in the water tank 11 of each measuring point 10 can behave integrally between the water tanks 11 via the water channel 20, so that a certain time has passed even if the above-mentioned settlement occurs and the water surface fluctuates. Then, the water 12 in each water tank 11 maintains a constant water level regardless of the water tank subsidence.
従って、各水槽11間にて水位一定の水面13上の浮子天端14Aと、沈下が生じた測点10の水槽11と共に沈下する渦電流センサ16との間の鉛直距離cc(図17参照)は、沈下前の離間距離bbから縮む方向で変化することになる。この変化量から測点間の相対変位量を検出することが出来る。なお、この相対変位量の算定手法については既存技術を採用すればよい。 Accordingly, the vertical distance cc between the buoyant ceiling 14A on the water surface 13 where the water level is constant between the water tanks 11 and the eddy current sensor 16 that sinks together with the water tank 11 of the measuring point 10 where the sinking has occurred (see FIG. 17). Changes in the direction of contraction from the separation distance bb before sinking. The relative displacement amount between the measurement points can be detected from the change amount. In addition, what is necessary is just to employ | adopt an existing technique about the calculation method of this relative displacement amount.
構造物1に隆起や沈降といった鉛直変位が生じた場合、この鉛直変位の発生箇所付近に位置する測点10の水槽11では、水面13の揺動が生じる。特に、アンダーピニング工法適用の構造物1の変位計測時など、急な鉛直変位が生じる状況であれば、上述の水面揺動も大きくなりがちである。しかしながら、本実施形態の開水路式変位計100においては、いずれかの測点10の水槽11で生じた水面揺動によって通常時水面より起伏した容積分の水が、該当測点10の水槽11に連結された他の2点以上の測点10の水槽11に向け、2経路以上の水路20に伝播することで早く平準化され、従来の如く、閉じていない一列の水路と測点の水槽で構成された開水路式変位計と比較して、迅速に揺動を収束させることが出来る。 When a vertical displacement such as uplift or subsidence occurs in the structure 1, the water surface 13 oscillates in the water tank 11 of the measuring point 10 located near the location where the vertical displacement occurs. In particular, in the situation where a sudden vertical displacement occurs, such as when measuring the displacement of the structure 1 to which the underpinning method is applied, the above-described water surface fluctuation tends to increase. However, in the open channel type displacement meter 100 of the present embodiment, the water in a volume that undulates from the normal water surface due to the water surface fluctuation generated in the water tank 11 at any one of the measurement points 10 is the water tank 11 at the corresponding measurement point 10. It is leveled quickly by propagating to two or more water channels 20 toward the other two or more water tanks 11 connected to the water tank 11, and as before, a single row of water channels that are not closed and the water tank of the station Compared with the open channel type displacement meter configured as described above, the swing can be quickly converged.
また、上述の如くユニット50を複数組み合わせた構造とすれば、測定対象の構造物1に鉛直変位が生じた場合、この鉛直変位が生じた場所付近の測点10の水槽11で水面揺動が生じるが、その水面揺動が、該当測点10の水槽11を含むユニット50における、連結された他の1点以上の測点10の水槽11に向け、2経路以上の水路20に伝播し、更に、当該ユニット50と測点10の水槽11を共有する他ユニットにも同様に伝播がなされるため、従来の如く、閉じていない一列の水路と測点の水槽で構成された開水路式変位計と比較して、更に迅速に揺動を収束させることが出来る。 Further, if a structure in which a plurality of units 50 are combined as described above, when vertical displacement occurs in the structure 1 to be measured, the water surface swings in the water tank 11 of the measuring point 10 near the place where the vertical displacement has occurred. However, the water surface fluctuation propagates to the two or more water channels 20 toward the one or more other water tanks 11 of the station 10 in the unit 50 including the water tank 11 of the corresponding station 10. Further, since the propagation is made in the same manner to the other units sharing the tank 11 of the station 50 with the unit 50, as in the prior art, an open channel type displacement constituted by one row of unclosed water channels and the tank of the station is provided. Compared with the meter, the oscillation can be converged more rapidly.
ここで、閉じていない一列の水路と測点の水槽で構成された従来型の開水路式変位計と、本実施形態の開水路式変位計100とに関し、それぞれ水面揺動の伝播状況をシミュレーションした例を示す。まず、比較するケースとしては以下の2ケースを採用した。
・ケース1(従来型):測点間隔は10.0m。水路20の総延長は80m。
・ケース2(本実施形態):測点間隔は10.0m。水路20の総延長は80m。4つの測点10を水路20にて閉回路状に連結した矩形のユニット50を、8列の格子状に配置して構成されている。
Here, regarding the conventional open channel displacement meter constituted by a single row of unclosed water channels and a measuring point water tank, and the open channel displacement meter 100 of the present embodiment, the propagation condition of the water surface fluctuation is respectively simulated. An example is shown. First, the following two cases were adopted as cases for comparison.
Case 1 (conventional type): The measuring point interval is 10.0 m. The total length of the canal 20 is 80m.
Case 2 (this embodiment): The measuring point interval is 10.0 m. The total length of the canal 20 is 80m. A rectangular unit 50 in which four measurement points 10 are connected in a closed circuit shape by a water channel 20 is arranged in an eight-row grid pattern.
また、想定した鉛直変位の条件は、或る1箇所の測点10が0.5mm隆起し、その測点10での0.5mmの隆起を頂点に、該当測点10の水槽11と連結された水路20が三角形状に傾斜隆起する(図18の上段参照)。他方、その他の測点10や水路20らは変位しないものとした。こうした条件の鉛直変位を想定した場合、測点10の隆起に伴って隆起した水槽11内の水12の水面揺動が、複数の他の水路20を介して、複数の他の測点10に伝播し、時間経過と共に水面13は平坦化されると考える。 Also, the assumed vertical displacement condition is that a certain measurement point 10 is raised by 0.5 mm, and the elevation of 0.5 mm at that measurement point 10 is the apex, and the water tank 11 of the corresponding measurement point 10 is connected. The water channel 20 is inclined and raised in a triangular shape (see the upper part of FIG. 18). On the other hand, the other measuring points 10 and the water channel 20 are not displaced. Assuming a vertical displacement under such conditions, the water surface fluctuation of the water 12 in the water tank 11 that has risen with the rising of the station 10 is transferred to a plurality of other stations 10 via the plurality of other water channels 20. It is assumed that the water surface 13 is flattened as time passes.
ここで、水槽11内における水面13の水面揺動の伝播速度を算定する。水面揺動すなわち水位変化の伝播速度Vは、以下の式、
で表される。ここで、g:重力加速度=9.8m/s2、h:水理水深=通水断面積A÷水面幅B、である。水路20の管径が78mmで、水路20の管内における水深が管径の1/2とすると、
Here, the propagation speed of the water surface fluctuation of the water surface 13 in the water tank 11 is calculated. The propagation velocity V of the water surface fluctuation, that is, the water level change is expressed by the following equation:
It is represented by Here, g: gravitational acceleration = 9.8 m / s 2 , h: hydraulic depth = water cross-sectional area A ÷ water surface width B. If the pipe diameter of the water channel 20 is 78 mm and the water depth in the pipe of the water channel 20 is ½ of the pipe diameter,
伝播速度Vが0.55m/sであると、水12(の水面揺動)が水路20の単位長さである10.0mだけ進むのに要する時間は、10.0m÷0.55m/s≒18秒、となる。 When the propagation velocity V is 0.55 m / s, the time required for the water 12 (water surface fluctuation) to travel by 10.0 m which is the unit length of the water channel 20 is 10.0 m ÷ 0.55 m / s. ≒ 18 seconds.
ここで、測点10Aの隆起により生じた水12の体積Cは、隆起量に比べて測点間の距離が十分に大きいため、直方体に近似できる(図18下段参照)。そこで体積Cは、C=(水面揺動が生じている長さ)×(水面幅B)×(測点10Aの水位)、となる。この場合、“(水面揺動が生じている長さ)×(水面幅B)”を伝播面積Aとする。上述の体積Cは、時間の経過によっても変わらないため、時刻tnとtn+1の測点10Aの水位を、それぞれhn、hn+1、伝播面積を、それぞれAn、An+1とすると、
・体積C=hn×An=hn+1×An+1
・測点10Aの水位hn+1=(An/An+1)×hn
となる。
Here, the volume C of the water 12 generated by the bulging of the measuring point 10A can be approximated to a rectangular parallelepiped because the distance between the measuring points is sufficiently larger than the bulging amount (see the lower part of FIG. 18). Therefore, the volume C is C = (length of water surface fluctuation) × (water surface width B) × (water level at the measuring point 10A). In this case, “(length of water surface fluctuation) × (water surface width B)” is defined as a propagation area A. Since the volume C does not change with the passage of time, the water level of the measuring point 10A at time t n and t n + 1 is h n , h n + 1 , and the propagation area is A n and A n + 1 , respectively.
・ Volume C = h n × A n = h n + 1 × A n + 1
・ Water level h n + 1 of the measuring point 10A = (A n / A n + 1 ) × h n
It becomes.
従って、An/An+1を伝播面積比とし、時刻tn+1での測点10Aの水位hn+1を求めるならば、時刻tnでの測点10Aの水位hnに伝播面積比を乗じればよい。 Therefore, the A n / A n + 1 and the propagation area ratio, if determined the water level h n + 1 of the measuring point 10A at time t n + 1, be multiplied propagation area ratio to the water level h n of measuring points 10A at time t n Good.
以上の条件を上述のケース1、すなわち従来型の開水路式変位計に適用した場合の結果を図20、図21に示す。図20の例の場合、隆起が生じた箇所の測点は測点10Aである。従って、隆起が生じた時刻t=0の時点で、測点10Aと直接連結されている水路20にも、測点10Aの隆起を頂点として傾斜状の隆起が生じている。水路20の単位長さは10.0mであるから、時刻t=0の時点で隆起が生じている範囲は、測点10Aを中心に各方向に10.0m、すなわち計20mの範囲となる。また、この時点での伝播面積は、上述の範囲内の水路20の長さ計20m×水路20の水面幅0.078m=1.56m2となる。 FIGS. 20 and 21 show the results when the above conditions are applied to the above-described case 1, that is, the conventional open channel displacement meter. In the case of the example in FIG. 20, the station where the bulge occurred is the station 10 </ b> A. Therefore, at the time t = 0 when the bulge occurs, the water channel 20 directly connected to the measurement point 10A also has an inclined ridge with the bulge at the measurement point 10A as the apex. Since the unit length of the water channel 20 is 10.0 m, the range in which the bulge is generated at the time t = 0 is 10.0 m in each direction around the measurement point 10A, that is, a range of 20 m in total. Further, the propagation area at this point is 20 m in total length of the water channel 20 within the above-mentioned range × the water surface width of the water channel 20 is 0.078 m = 1.56 m 2 .
水路20の単位長さ10.0mだけ水12の水面揺動が伝播するためには、上述したように、約18秒を要する。従って、隆起が生じた時刻t=0から18秒後には、測点10Aで隆起した水12の水面揺動は、測点10Aを中心に各方向に20m、すなわち計40mの範囲となる。 In order for the water surface fluctuation of the water 12 to propagate by the unit length 10.0 m of the water channel 20, it takes about 18 seconds as described above. Therefore, after 18 seconds from the time t = 0 when the uplift occurred, the water surface fluctuation of the water 12 raised at the measuring point 10A is 20 m in each direction centering on the measuring point 10A, that is, a total range of 40 m.
この場合、図21の表に示すように、水面揺動の伝播面積は、上述の範囲内の水路20の長さ計40m×水路20の水面幅0.078m=3.12m2となる。時刻t=0の時点での伝播面積は上述のように1.56m2であるから、この時刻t=18秒の時点での伝播面積比は、1.56m2/3.12m2=0.5となる。よって、時刻t=18秒の時点での測点10Aでの水位は、伝播面積比0.5に、時刻t=0での測点10Aの水位0.5mmを乗じて、0.25mmと算定できる。 In this case, as shown in the table of FIG. 21, the propagation area of the water surface fluctuation is the total length of the water channel 20 within the above-mentioned range 40 m × the water surface width 0.078 m = 3.12 m 2 of the water channel 20. Since the propagation area at the time t = 0 is 1.56 m 2 as described above, the propagation area ratio at the time t = 18 seconds is 1.56 m 2 /3.12 m 2 = 0. 5 Therefore, the water level at the measurement point 10A at the time t = 18 seconds is calculated as 0.25 mm by multiplying the propagation area ratio 0.5 by the water level 0.5mm at the measurement point 10A at the time t = 0. it can.
それから更に18秒が経過後、すなわち隆起が生じた時刻t=0から36秒後には、測点10Aで隆起した水12の水面揺動は、測点10Aを中心に各方向に30.0m、すなわち計60mの範囲となる。この場合、図21の表に示すように、水面揺動の伝播面積は、上述の範囲内の水路20の長さ計60m×水路20の水面幅0.078=4.68m2となる。この場合、時刻間での伝播面積の比率は、上述の時刻t=18秒の場合と同様に、3.12/4.68=0.6667、と算定できる。 Then, after 18 seconds have passed, that is, 36 seconds after the time t = 0 when the uplift occurred, the water surface fluctuation of the water 12 raised at the measuring point 10A is 30.0 m in each direction around the measuring point 10A. That is, the total range is 60 m. In this case, as shown in the table of FIG. 21, the propagation area of the water surface fluctuation is the total length of the water channel 20 within the above-mentioned range 60 m × the water surface width 0.078 = 4.68 m 2 of the water channel 20. In this case, the ratio of the propagation area between the times can be calculated as 3.12 / 4.68 = 0.6667 as in the case of the above-described time t = 18 seconds.
また、この時刻t=36秒での測点10Aでの水位は、この時刻t=36秒の時点での伝播面積比0.6667に、時刻t=18秒での測点10Aの水位0.25mmを乗じて、0.17mm、と算定できる。以下同様に、時刻t=54秒での測点10Aでの水位は、0.13mmとなる。 Further, the water level at the measuring point 10A at the time t = 36 seconds is the propagation area ratio 0.6667 at the time t = 36 seconds, and the water level at the measuring point 10A at the time t = 18 seconds is 0. By multiplying by 25 mm, it can be calculated as 0.17 mm. Similarly, the water level at the measuring point 10A at time t = 54 seconds is 0.13 mm.
同様に、上記の条件を上述のケース2すなわち本実施形態の開水路式変位計100(図22参照)に適用した場合の結果を図23〜図27に示す。図22の例の場合でも、隆起が生じた箇所の測点を測点10Aとする。また、隆起が生じた時刻t=0から18秒毎に、水面揺動が伝播する範囲も上述のケース1と同様とする。また、図22に全容を示す開水路式変位計100のうち、上述の隆起が生じた以降の各時刻において、水面揺動が伝播した測点10、水路20、補助水路30の範囲のみを抽出し、それぞれ図24(t=0秒)〜図27(t=54秒)に示した。 Similarly, FIGS. 23 to 27 show results when the above-described conditions are applied to the case 2 described above, that is, the open channel displacement meter 100 (see FIG. 22) of the present embodiment. Even in the case of the example in FIG. 22, a measurement point where a bulge has occurred is defined as a measurement point 10 </ b> A. Further, the range in which the water surface fluctuation is propagated every 18 seconds from the time t = 0 when the bulge occurs is the same as in the case 1 described above. Further, from the open channel displacement meter 100 shown in FIG. 22, only the ranges of the measurement point 10, the water channel 20, and the auxiliary water channel 30 in which the water surface fluctuation has propagated are extracted at each time after the above-described bulge occurs. These are shown in FIG. 24 (t = 0 second) to FIG. 27 (t = 54 seconds), respectively.
まず、時刻t=0の時点で隆起が生じている範囲は、図24に示すように、測点10Aを中心に各方向に10.0m、すなわち計40mの範囲となる。また、この時点での伝播面積は、上述の範囲内の水路20の長さ計40m×水路20の水面幅0.078m=3.12m2となる。 First, as shown in FIG. 24, the range where the bulge is generated at the time t = 0 is 10.0 m in each direction around the measurement point 10A, that is, a total range of 40 m. In addition, the propagation area at this point is 40 m in total length of the water channel 20 within the above-mentioned range × the water surface width of the water channel 20 is 0.078 m = 3.12 m 2 .
また、時刻t=18秒の時点においては、図25にて示すように、水面揺動は測点10Aを中心に各方向に20m、すなわち計40mの範囲に到達している。従って、この範囲にある水路20および補助水路30の区間数をカウントすると、16区間となる。図23の表に示すように、水面揺動の伝播面積は、単位長さがいずれも10.0mである水路20および補助水路30が計16区間分となる長さに対応して、すなわち16(区間)×10.0m×水面幅0.078m=12.48m2となる。この時点での伝播面積比は、上述の時刻t=0での伝播面積3.12m2を、時刻t=18での伝播面積12.48m2で除算して、0.25となる。また、この時の測点10Aでの水位は、伝播面積比0.25に、時刻t=0での測点10Aの水位0.5mmを乗じて、0.12mmと算定できる。 Further, at time t = 18 seconds, as shown in FIG. 25, the water surface fluctuation has reached a range of 20 m in each direction around the measuring point 10A, that is, a total range of 40 m. Therefore, when the number of sections of the water channel 20 and the auxiliary water channel 30 in this range is counted, it becomes 16 sections. As shown in the table of FIG. 23, the propagation area of the water surface fluctuation corresponds to the length in which the water channel 20 and the auxiliary water channel 30 each having a unit length of 10.0 m are a total of 16 sections, that is, 16 (Section) × 10.0 m × Water surface width 0.078 m = 12.48 m 2 . Propagation area ratio at this point, the propagation area 3.12M 2 at time t = 0 of the above is divided by the propagation area 12.48M 2 at time t = 18, 0.25. Further, the water level at the measurement point 10A at this time can be calculated as 0.12 mm by multiplying the propagation area ratio 0.25 by the water level 0.5mm of the measurement point 10A at time t = 0.
それから更に18秒が経過後、すなわち隆起が生じた時刻t=0から36秒後には、測点10Aで隆起した水12の水面揺動は、測点10Aを中心に各方向に30.0m、すなわち計60mの範囲となる。この場合、この範囲にある水路20および補助水路30の区間数をカウントすると、36区間となる。そこで図22の表に示すように、水面揺動の伝播面積は、単位長さがいずれも10.0mである水路20および補助水路30が計36区間分となる長さに対応して、すなわち36(区間)×10.0m×水面幅0.078m=28.08m2となる。この場合、時刻間での伝播面積の比率は、上述の時刻t=18秒の場合と同様に、12.48/28.08=0.444、と算定できる。 Then, after 18 seconds have passed, that is, 36 seconds after the time t = 0 when the uplift occurred, the water surface fluctuation of the water 12 raised at the measuring point 10A is 30.0 m in each direction around the measuring point 10A. That is, the total range is 60 m. In this case, if the number of sections of the water channel 20 and the auxiliary water channel 30 in this range is counted, it becomes 36 sections. Therefore, as shown in the table of FIG. 22, the propagation area of the water surface fluctuation corresponds to the length in which the water channel 20 and the auxiliary water channel 30 each having a unit length of 10.0 m are a total of 36 sections, that is, 36 (section) × 10.0 m × water surface width 0.078 m = 28.08 m 2 . In this case, the ratio of the propagation area between times can be calculated as 12.48 / 28.08 = 0.444 as in the case of the above-described time t = 18 seconds.
また、この時刻t=36秒での測点10Aでの水位は、この時刻t=36秒の時点での伝播面積比0.444に、時刻t=18秒での測点10Aの水位0.12mmを乗じて、0.06mm、と算定できる。以下同様に、時刻t=54秒での測点10Aでの水位は、0.03mmとなる。ケース1(従来型)に関して求められた測点10Aでの水位が、時刻t=36秒で、0.17mm、時刻t=54秒で、0.13mm、であったことを踏まえると、隆起した水位が低下、すなわち水面揺動が収束する速度は、本実施形態の開水路式変位計100の方が早いことがわかる。つまり、伝播速度Vが一定である以上、測点10Aでの隆起により生じた水面揺動は、伝播面積が広くなるほど、その収束は早くなる。 The water level at the measuring point 10A at the time t = 36 seconds is equal to the propagation area ratio 0.444 at the time t = 36 seconds, and the water level at the measuring point 10A at the time t = 18 seconds is 0. It can be calculated as 0.06 mm by multiplying by 12 mm. Similarly, the water level at the measuring point 10A at time t = 54 seconds is 0.03 mm. The water level at the measuring point 10A obtained for Case 1 (conventional type) rose 0.17 mm at time t = 36 seconds and 0.13 mm at time t = 54 seconds. It can be seen that the water level decreases, that is, the speed at which the water surface fluctuation converges is faster in the open channel displacement meter 100 of the present embodiment. That is, as long as the propagation velocity V is constant, the convergence of the water surface fluctuation caused by the uplift at the measurement point 10A becomes faster as the propagation area becomes larger.
以上、本実施形態によれば、構造物で生じた鉛直変位に伴う開水路式変位計での水面揺動を迅速に収束させ、落ち着いた水面において、開水路式変位計における短時間での正確な鉛直変位計測が可能となる。 As described above, according to the present embodiment, the water surface fluctuation in the open channel displacement meter due to the vertical displacement generated in the structure is quickly converged, and the settled water surface can be accurately obtained in a short time in the open channel displacement meter. Vertical displacement measurement is possible.
本発明の実施の形態について、その実施の形態に基づき具体的に説明したが、これに限定されるものではなく、その要旨を逸脱しない範囲で種々変更可能である。 Although the embodiment of the present invention has been specifically described based on the embodiment, the present invention is not limited to this, and various modifications can be made without departing from the scope of the invention.
1 構造物
10 測点
11 水槽
12 水
13 水面
14 浮子
15 水槽内天端
16 渦電流センサ
17 ベース部
20 水路
50 ユニット
100 開水路式変位計
DESCRIPTION OF SYMBOLS 1 Structure 10 Measuring point 11 Water tank 12 Water 13 Water surface 14 Float 15 Water tank top 16 Eddy current sensor 17 Base part 20 Water channel 50 Unit 100 Open channel displacement meter
Claims (2)
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| JP2013050370A JP6088862B2 (en) | 2013-03-13 | 2013-03-13 | Open channel displacement meter |
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| FR2741148B1 (en) * | 1995-11-14 | 1998-01-30 | Nanotec Ingenierie | SYSTEM AND METHOD FOR ALTIMETRIC MEASUREMENT BY HYDROSTATIC MEANS |
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