Method for predicting waveform of microbarometric wave, waveform prediction device therefor and program for predicting waveform of microbarometric wave

Abstract

To provide a method for predicting a waveform of a microbarometric wave, a waveform prediction device therefor, and a program for predicting a waveform of a microbarometric wave that can easily predict a waveform of a microbarometric wave at a desired location on the basis of actual measured values of the waveform of the microbarometric wave measured at any location.SOLUTION: In a method #100 for predicting a waveform of a microbarometric wave, a waveform p2 of a microbarometric wave W1 radiated from the opposite pit mouth when a train enters a tunnel pit mouth is predicted. The method #100 for predicting a waveform comprises a waveform prediction step #130 of predicting the waveform p2 of the microbarometric wave W1 at a location X2 on the basis of a waveform p1 of the microbarometric wave W1 radiated from the opposite pit mouth and measured at a location X1. In the waveform prediction step #130, the waveform p2 of the microbarometric wave W1 at the location X2 is predicted on the basis of a reference waveform pref,1 and pref,2 of the microbarometric wave W1, determined by theory, simulation or experiment, and the waveform p1 of the microbarometric wave W1 measured at the location X1.SELECTED DRAWING: Figure 5

Description

[Technical Field]

[0001] This invention relates to a method for predicting the waveform of a micro-pressure wave emitted from the tunnel entrance on the opposite side when a moving object enters the tunnel entrance, a waveform prediction device for the method, and a micro-pressure wave waveform prediction program. [Background technology]

[0002] Tunnel micro-pressure waves are pressure waves radiated from the tunnel exit when the nose of a train enters the tunnel entrance, and are a cause of noise and vibration along railway tracks. A conventional method for predicting the propagation of tunnel compression waves involves installing multiple pressure sensors at predetermined intervals along the length of an actual tunnel, measuring the tunnel compression waves generated when a train enters the tunnel at high speed using these pressure sensors, and predicting the pressure propagation when the train enters the tunnel at a higher speed than the actual measured data based on the measurement data from these pressure sensors (see, for example, Patent Document 1). Furthermore, conventional predictions of tunnel micro-pressure waves using unsteady acoustic analysis involve performing numerical analysis using acoustic techniques to predict the formation of tunnel compression waves, the propagation of tunnel compression waves, and the radiation of micro-pressure waves when tunnel compression waves propagate through a slab track tunnel (see, for example, Non-Patent Document 1). [Prior art documents] [Patent documents]

[0003] [Patent Document 1] Japanese Patent Application Publication No. 09-228786

[0004] [Non-Patent Document 1] Hidehiko Okubo and three others, "Prediction of tunnel micro-pressure waves using unsteady acoustic analysis," Railway Technical Research Institute Report, Kenyusha, 2020, Vol. 34, No. 3, pp. 23-10 Summary of the Invention [Problem to be solved by the invention]

[0005] Micro-pressure waves are associated with the waveform of the compression wave inside the tunnel that reaches the tunnel exit, details of the tunnel exit entrance hood, and data on the surrounding terrain. To predict micro-pressure waves at a tunnel exit, the compression wave inside the tunnel is usually measured or predicted, and the micro-pressure waves around the exit are calculated using data on the tunnel exit entrance hood and data on the surrounding terrain. This can be expressed as the following equation 1.

[0006]

number

[0007] Here, p shown in Equation 1 i is the waveform of the micro-pressure wave at measurement point i, and g i is the transfer function at measurement point i, h is the pressure gradient waveform of the compression wave in the tunnel that reaches the tunnel exit, and * is the convolution integral. i includes the effects of the tunnel exit entrance hood and topography, and is independent of the pressure gradient waveform h. If we convert both sides of equation 1 into the frequency domain by Fourier transform, we obtain the following equation 2.

[0008]

number

[0009] Here, [f] in Equation 2 is the Fourier transform of f. In this case, the waveform (output) p of the micro-pressure wave at a certain measurement point i i In order to predict this, the pressure gradient waveform (input) h of the compression wave inside the tunnel is required.

[0010] Conventional methods for predicting the propagation of compression waves in tunnels involve measuring the pressure gradient waveform h of the compression wave inside the tunnel using a pressure sensor installed inside the tunnel. However, measuring the pressure gradient waveform h requires a dedicated measuring instrument and is difficult, as it requires specialized engineers to install the measuring instrument inside the tunnel during limited hours at night when trains are not running. For this reason, it is desirable to measure micro-pressure waves using commercially available measuring instruments outside the tunnel, where it is technically relatively easy to measure.

[0011] Railway operators with railway business licenses, as well as railway construction companies that build, survey, or lease railways, can conduct measurements "inside the fence," which is on their own property, such as within Shinkansen viaducts and trenches. However, measurements "inside the fence" are cumbersome, requiring coordination with related departments such as safety management and administrative procedures, and the measurement process is extensive, requiring high-strength temporary structures to avoid impeding train traffic. On the other hand, measurements "outside the fence," which are outside the company's property, can be performed simply by placing a measuring device on a camera tripod on the ground, away from the tracks. However, measurements "outside the fence" can be performed on private property such as neighboring residents' land, privately owned and used private roads, or public property such as public roads, which limits the number of measurement points. As such, there are advantages and disadvantages to both "inside the fence" and "outside the fence" measurements, and the measurement points for micropressure waves vary depending on the railway operator. For this reason, it becomes necessary to predict the micro-pressure wave at a desired measurement point from the actual measurement value of the micro-pressure wave at an arbitrary measurement point.

[0012] In addition, the number of measurement points for micro-pressure waves may be limited due to constraints on the number of measuring instruments and personnel, work safety and convenience, etc. For this reason, there is a constant need to predict micro-pressure waves at a desired measurement point from the actual measurements of micro-pressure waves at any measurement point.

[0013] The object of the present invention is to provide a method for predicting the waveform of a micro-pressure wave, a waveform prediction device, and a micro-pressure wave waveform prediction program that can easily predict the waveform of a micro-pressure wave at a desired point based on the actual measured value of the waveform of the micro-pressure wave measured at any point. [Means for solving the problem]

[0014] The present invention solves the above problems by the means described below. Although the description will be given with reference numerals corresponding to the embodiments of the present invention, the present invention is not limited to these embodiments. The invention of claim 1 is a method for predicting the waveform (p2) of a micro-pressure wave (W1) emitted from the opposite entrance (3b) of a tunnel (3) when a moving body (1) enters the entrance (3a) of the tunnel (3), as shown in Figures 2 to 5, and is a micro-pressure wave waveform prediction method (#100) characterized by including a waveform prediction step (#130) for predicting the waveform (p2) of the micro-pressure wave (W1) at a second point (X2) based on the waveform (p1) of the micro-pressure wave (W1) emitted from the opposite entrance and measured at a first point (X1).

[0015] The invention of claim 2 is the method for predicting a waveform of a micro-pressure wave according to claim 1, wherein, as shown in FIGS. 3, 4 and 5, the waveform prediction step includes using a reference waveform (p ref,1 ,p ref,2 ) and the waveform (p1) of the micro-pressure wave (W1) measured at the first point (X1), the method for predicting the waveform (p2) of the micro-pressure wave (W1) at the second point (X2).

[0016] The invention of claim 3 is the method for predicting a waveform of a micro-pressure wave according to claim 2, wherein the waveform prediction step includes: ref,1 , the reference waveform p of the micro-pressure wave at the second point ref,2 , and the waveform of the micro-pressure wave measured at the first point is p1, This is a method for predicting the waveform of a micro-pressure wave, characterized by including a step of predicting the waveform p2 of the micro-pressure wave at the second point using TIFF2025121686000004.tif17157.

[0017] The invention of claim 4 is a micro-pressure wave waveform prediction device (5) that predicts the waveform (p2) of a micro-pressure wave (W1) emitted from the opposite tunnel entrance (3b) when a moving body (1) enters the tunnel entrance (3a), as shown in Figures 1 to 4, and is characterized in that it has a waveform prediction unit (8) that predicts the waveform (p2) of the micro-pressure wave (W1) at a second point (X2) based on the waveform (p1) of the micro-pressure wave (W1) emitted from the opposite tunnel entrance and measured at a first point (X1).

[0018] The invention of claim 5 is a micro-pressure wave waveform prediction program for predicting the waveform (p2) of a micro-pressure wave (W1) emitted from the opposite tunnel entrance (3b) when a moving body (1) enters the tunnel entrance (3a), as shown in Figures 1 to 4 and 6, characterized in that the micro-pressure wave waveform prediction program causes a computer to execute a waveform prediction procedure (S140) that predicts the waveform (p2) of the micro-pressure wave (W1) at a second point (X2) based on the waveform (p1) of the micro-pressure wave (W1) emitted from the opposite tunnel entrance and measured at a first point (X1). [Effects of the Invention]

[0019] According to this invention, the waveform of a micro-pressure wave at a desired point can be easily predicted based on the actual measurement value of the waveform of the micro-pressure wave measured at any point. [Brief explanation of the drawings]

[0020] [Figure 1] 1 is a configuration diagram of a waveform prediction device for a micro-pressure wave according to an embodiment of the present invention. [Figure 2] FIG. 2 is a conceptual diagram illustrating the generation process of a micro-pressure wave predicted by a method for predicting a waveform of a micro-pressure wave according to an embodiment of the present invention. [Figure 3] FIG. 1 is a perspective view for explaining a method for predicting the waveform of a micro-pressure wave according to an embodiment of the present invention. [Figure 4] FIG. 2 is a conceptual diagram for explaining a method for predicting the waveform of a micro-pressure wave according to an embodiment of the present invention. [Figure 5] FIG. 2 is a process diagram of a method for predicting the waveform of a micro-pressure wave according to an embodiment of the present invention. [Figure 6] 4 is a flowchart for explaining the operation of the micro-pressure wave waveform prediction device according to the embodiment of the present invention. DETAILED DESCRIPTION OF THE INVENTION

[0021] Hereinafter, embodiments of the present invention will be described in detail with reference to the drawings. A train 1 shown in FIG. 2 is a moving object moving along a track 2. The train 1 is, for example, a railway vehicle that runs on the Shinkansen (registered trademark) at a high speed of 320 km / h or more. The track 2 is a track (passageway) on which the train 1 runs. As shown in FIG. 3, the track 2 is a double track consisting of two main tracks, an up main track 2a and a down main track 2b. The tunnel 3 shown in FIGS. 2 and 3 is a fixed structure (civil engineering structure) that penetrates underground, such as a mountainside, to allow the train 1 to pass through. The tunnel 3 shown in FIGS. 2 and 3 is a double-track railway tunnel (double-track tunnel) that accommodates two main tracks 2a and 2b within a single fixed structure. As shown in FIGS. 2 and 3, the tunnel 3 has entrances 3a and 3b that serve as entrances and exits for the train 1 to enter and exit.

[0022] Micro-pressure wave W1 shown in Figures 2 and 3 is a pressure wave radiated from the tunnel entrance 3b on the opposite side when train 1 enters the tunnel entrance 3a. As shown in Figure 2, a compression wave W2 (hereinafter referred to as tunnel compression wave) generated in tunnel 3 ahead of train 1 when train 1 enters the tunnel entrance 3a propagates through tunnel 3, becoming a pulsed pressure wave (tunnel micro-pressure wave) that radiates to the outside from the entrance 3b on the opposite side from the entrance 3a on the train's entry side. Micro-pressure wave W1 can cause environmental problems by generating impact noise near the entrance 3b and shaking fixtures and fittings of houses near the entrance 3b. The magnitude of micro-pressure wave W1 is roughly proportional to the rise of tunnel compression wave W2 and is determined by the maximum value of the time derivative (pressure gradient waveform h) of tunnel compression wave W2. The more rapidly tunnel compression wave W2 rises, the larger the micro-pressure wave W1. The micro-pressure wave W1 can be reduced by, for example, taking measures on the ground side such as installing a tunnel entrance hood that covers the tunnel entrance 3a into which the train 1 enters, with a length corresponding to the speed of the train 1, or by taking measures on the vehicle side such as lengthening the shape of the front end of the train 1 or adjusting the cross-sectional area distribution of the front end, so that the compression wave W2 inside the tunnel rises as slowly as possible (reducing the maximum value of the pressure gradient of the compression wave W2 inside the tunnel).

[0023] Point X1 shown in Figures 3 and 4 is a measurement point for measuring the waveform p1 of the micro-pressure wave W1 radiated from the tunnel entrance 3b on the opposite side of the tunnel 3. Point X2 is a prediction point for predicting the waveform p2 of the micro-pressure wave W1 radiated from the tunnel entrance 3b on the opposite side of the tunnel 3.

[0024] The waveform prediction system 4 shown in Fig. 1 is a system that predicts the waveform p2 of the micro-pressure wave W1 that is emitted from the tunnel entrance 3b on the opposite side when a train 1 enters the tunnel entrance 3a. The waveform prediction system 4 includes a waveform measurement device 5 and a waveform prediction device 6. The waveform prediction system 4 predicts the waveform p2 of the micro-pressure wave W1 at point X2 using the waveform prediction device 6 based on the waveform p1 of the micro-pressure wave W1 measured at point X1 by the waveform measurement device 5.

[0025] The waveform measurement device 5 is a device that measures the waveform p1 of the micro-pressure wave W1 emitted from the entrance 3b on the opposite side of the tunnel 3. The waveform measurement device 5 is placed at point X1, and transmits waveform data relating to the waveform p2 of the micro-pressure wave W1 measured at point X1 to the waveform prediction device 6. The waveform measurement device 5 includes a pressure meter such as a microphone that converts the sound pressure of the micro-pressure wave W1 into an electrical signal and outputs it, a signal processing device that processes the output signal of this pressure meter, a storage device that stores waveform data relating to the waveform p2 of the micro-pressure wave W1 output by the signal processing device, and a transmission device that transmits this waveform data to the waveform prediction device 6.

[0026] The waveform prediction device 6 is a device that predicts the waveform p2 of the micro-pressure wave W1 that will be emitted from the tunnel entrance 3b on the opposite side when the train 1 enters the tunnel entrance 3a. The waveform prediction device 6 predicts the waveform p2 of the micro-pressure wave W1 at point X2 based on the waveform p1 of the micro-pressure wave W1 that is actually measured at point X1. The waveform prediction device 6 includes a waveform data input unit 7, a waveform prediction unit 8, a reference waveform setting unit 9, a data storage unit 10, a waveform prediction program storage unit 11, a display unit 12, and a control unit 13. The waveform prediction device 6 is configured, for example, by a personal computer, and executes predetermined processing according to the waveform prediction program.

[0027] Here, the prediction principle of the waveform prediction device 6 will be explained. As shown in Figures 3 and 4, in order to predict the waveform p2 of the micro-pressure wave W1 at point X2, the pressure gradient waveform h at the tunnel entrance (tunnel exit) 3b on the opposite side of the tunnel 3 is usually required as shown in Equation 1. Now, suppose we want to predict the waveform p2 of the micro-pressure wave W1 at point X2 from the waveform p1 of the micro-pressure wave W1 actually measured at point X1 shown in Figure 2. In this case, a certain reference pressure gradient waveform h is obtained by theory, simulation, experiment, etc. ref If the waveforms p1 and p2 of the micro-pressure wave W1 at two points X1 and X2 are obtained, the reference pressure gradient waveform h ref Reference waveform p of micro-pressure wave W1 ref,1 ,p ref,2 is expressed by the following equation 3.

[0028]

number

[0029] From number 3, the following number 4 holds.

[0030]

number

[0031] From number 1, the following number 5 holds.

[0032]

number

[0033] The waveform prediction device 6 predicts the waveform p2 of the micro-pressure wave W1 at the point X2 from the waveform p1 of the micro-pressure wave W1 measured at the point X1 using the following equation 6, which is based on equation 5.

[0034]

number

[0035] 1 is a means for inputting waveform data output by waveform measurement device 5. Waveform data input unit 7 outputs the waveform data output by waveform measurement device 5 to control unit 13. Waveform data input unit 7 includes, for example, a receiving unit that receives data from waveform measurement device 5, and an interface (I / F) circuit that inputs the waveform data received by the receiving unit to control unit 13.

[0036] The waveform prediction unit 8 is a means for predicting the waveform p2 of the micro-pressure wave W1 at point X2 based on the waveform p1 of the micro-pressure wave W1 radiated from the opposite well entrance 3b and measured at point X1. The waveform prediction unit 8 uses the reference waveform p of the micro-pressure wave W1 at points X1 and X2, which is determined by theory, simulation, or experiment. ref,1 ,p ref,2and the waveform p1 of the micro-pressure wave W1 measured at point X1, a waveform p2 of the micro-pressure wave W1 at point X2 is predicted and calculated using Equation 6.

[0037] The reference waveform setting unit 9 sets the reference waveform p2 of the micro-pressure wave W1 required for predicting the waveform p2 of the micro-pressure wave W1 at the point X2. ref,1 ,p ref,2 The reference waveform setting unit 9 is a means for setting the reference waveform p of the micro-pressure wave W1 at the points X1 and X2 shown in Equations 3, 4, and 6. ref,1 ,p ref,2 The reference waveform setting unit 9 sets the waveform of the micro-pressure wave W1 under the reference conditions at the points X1 and X2 as the reference waveform p ref,1 ,p ref,2 Here, the reference conditions are conditions determined by theory, simulation, or experiment, and include certain reference train conditions, atmospheric conditions, and hood conditions. Here, the train conditions include, for example, the train speed and nose shape. The atmospheric conditions include, for example, the atmospheric temperature and atmospheric pressure. The hood conditions include, for example, the shape of the tunnel entrance hoods covering the tunnel portal 3a and / or portal 3b of the tunnel 3.

[0038] The reference waveform setting unit 9 sets the waveform of the micro-pressure wave W1 at the points X1 and X2 measured under certain reference conditions determined by theory, simulation, or experiment, or the reference pressure gradient waveform h at the entrance 3b of the tunnel 3 obtained under certain criteria. ref The waveform of the micro-pressure wave W1 at points X1 and X2 is the reference waveform p ref,1 ,p ref,2The reference waveform setting unit 9 sets the reference waveform p of the micro-pressure wave W1 at the points X1 and X2 based on, for example, a basic theory on compression waves when entering a tunnel (M.S. Howe, "The compression wave produced by a high-speed train entering a tunnel", Proc.R.Soc.London.A, 1998, 454, pp.1523-1534) and a theory on an acoustic model of micro-pressure wave radiation (T.Miyachi, "Acoustic model of micro-pressure wave emission from a high-speed train tunnel", Journal of Sound and Vibration, 2017). ref,1 ,p ref,2 The reference waveform setting unit 9 sets the reference waveform p of the micro-pressure wave W1 at the points X1 and X2 by a simulation theory such as Computational Fluid Dynamics (CFD) or Boundary Element Method (BEM). ref,1 ,p ref,2 The reference waveform setting unit 9 sets the reference waveform p of the micro-pressure wave W1 at the points X1 and X2, for example, by an experiment using a model of the topography around the entrance 3b of the tunnel 3. ref,1 ,p ref,2 The reference waveform setting unit 9 sets the reference waveform p of the micro-pressure wave W1 at the points X1 and X2. ref,1 ,p ref,2 The reference waveform data is received or input by a receiving device, an input device, or an auxiliary input device.

[0039] The data storage unit 10 is a means for storing various data related to the waveform prediction device 6. The data storage unit 10 stores waveform data relating to the waveform p1 of the micro-pressure wave W1 actually measured at point X1, which is input to the waveform data input unit 7 from the waveform measurement device 5, waveform data relating to the waveform p2 of the micro-pressure wave W1 predicted at point X2, and reference waveform p2 of the micro-pressure wave W1 at points X1 and X2, which is set by the reference waveform setting unit 9. ref,1 ,p ref,2and a storage device that stores reference waveform data related to the above.

[0040] The waveform prediction program storage unit 11 is a means for storing a waveform prediction program for predicting the waveform p2 of the micro-pressure wave W1 radiated from the opposite tunnel entrance 3b when the train 1 enters the tunnel entrance 3a of the tunnel 3. The waveform prediction program storage unit 11 is a storage device or the like that stores a waveform prediction program read from an information recording medium or a waveform prediction program downloaded via a telecommunications line.

[0041] The display unit 12 is a means for displaying various information related to the waveform prediction device 6. For example, the display unit 12 displays the waveform p1 of the micro-pressure wave W1 at the point X1 measured by the waveform measurement device 5, the waveform p2 of the micro-pressure wave W1 at the point X2 predicted by the waveform prediction unit 8, the reference waveform p of the micro-pressure wave W1 set by the reference waveform setting unit 9, and the like. ref,1 ,p ref,2 It is a display device that displays the above on a screen.

[0042] The control unit 13 is a central processing unit (CPU) that controls various operations related to the waveform prediction device 6. The control unit 13 reads a waveform prediction program from the waveform prediction program storage unit 11 and executes waveform prediction processing in accordance with this waveform prediction program. For example, the control unit 13 instructs the data storage unit 10 to store the waveform data for point X1 input from the waveform data input unit 7, outputs the waveform data for point X1 and the reference waveform data for points X1 and X2 read from the data storage unit 10 to the waveform prediction unit 8, instructs the waveform prediction unit 8 to predict the waveform p2 of the micro-pressure wave W1 at point X2, instructs the data storage unit 10 to store the waveform data for point X2 predicted by the waveform prediction unit 8, instructs the data storage unit 10 to store the reference waveform data for points X1 and X2 set by the reference waveform setting unit 9, and instructs the display unit 12 to display various data. A waveform data input unit 7, a waveform prediction unit 8, a reference waveform setting unit 9, a data storage unit 10, a waveform prediction program storage unit 11, and a display unit 12 are connected to the control unit 13 so that they can communicate with each other.

[0043] Next, a method for predicting the waveform of a micro-pressure wave according to an embodiment of the present invention will be described. 5 is a method for predicting a waveform p2 of a micro-pressure wave W1 radiated from an opposite tunnel entrance 3b when a train 1 enters the tunnel entrance 3a of a tunnel 3. The waveform prediction method #100 includes a waveform measurement step #110, a reference waveform setting step #120, and a waveform prediction step #130.

[0044] Waveform measurement process #110 is a process of measuring waveform p1 of micro-pressure wave W1 at point X1. In waveform measurement process #110, as shown in Figures 2 to 4, when train 1 enters tunnel entrance 3a of tunnel 3, waveform p1 of micro-pressure wave W1 radiating to the outside from tunnel entrance 3b on the opposite side is measured by waveform measurement device 5 at point X1.

[0045] The reference waveform setting step #120 is to set a reference waveform p2 of the micro-pressure wave W1 required for predicting the waveform p2 of the micro-pressure wave W1 at the point X2. ref,1 ,p ref,2 In the reference waveform setting step #120, the reference waveform p of the micro-pressure wave W1 at the points X1 and X2 is set. ref,1 ,p ref,2 is set by the waveform prediction device 6. In the reference waveform setting step #120, the reference waveform p of the micro-pressure wave W1 at the points X1 and X2 is set by, for example, theory, simulation, or experiment. ref,1 ,p ref,2 Set.

[0046] The waveform prediction step #130 is a step of predicting the waveform p2 of the micro-pressure wave W1 at point X2 based on the waveform p1 of the micro-pressure wave W1 radiated from the opposite well entrance 3b and measured at point X1. In the waveform prediction step #130, the reference waveform p ref,1 ,p ref,2 and the waveform p1 of the micro-pressure wave W1 at point X1, the waveform p2 of the micro-pressure wave W1 at point X2 is predicted by Equation 6.

[0047] Next, the operation of the micro-pressure wave waveform prediction device according to the embodiment of the present invention will be described. The following description will focus on the operation of the control unit 13 shown in FIG. 6, in step (hereinafter referred to as S) 100, the control unit 13 reads the waveform prediction program from the waveform prediction program storage unit 11. When the control unit 13 reads the waveform prediction program, the control unit 13 starts a series of waveform prediction processes.

[0048] In S110, the control unit 13 reads the waveform data of the micro-pressure wave W1 at the point X1 from the data storage unit 10. As a result, the control unit 13 outputs the waveform data of the micro-pressure wave W1 at the point X1 to the waveform prediction unit 8.

[0049] In S120, the reference waveform p of the micro-pressure wave W1 at points X1 and X2 ref,1 ,p ref,2 The control unit 13 reads the reference waveform data for the micro-pressure wave W1 at points X1 and X2 from the data storage unit 10. As a result, the control unit 13 outputs the reference waveform data for the micro-pressure wave W1 at points X1 and X2 to the waveform prediction unit 8.

[0050] In S130, the control unit 13 commands the waveform prediction unit 8 to predict the waveform p2 of the micro-pressure wave W1 at point X2. As a result, the waveform prediction unit 8 calculates the waveform p2 of the micro-pressure wave W1 at point X2 using Equation 6, and the calculated waveform data of the micro-pressure wave W1 at point X2 is stored in the data storage unit 10.

[0051] In S140, the control unit 13 commands the display unit 12 to display the waveform p2 of the micro-pressure wave W1 at the point X2. As a result, the display unit 12 displays the waveform p2 of the micro-pressure wave W1 at the point X2 on the screen.

[0052] The micro-pressure wave waveform prediction method, the waveform prediction device, and the micro-pressure wave waveform prediction program according to the embodiment of the present invention have the following effects. (1) In this embodiment, the waveform p2 of the micro-pressure wave W1 at point X2 is predicted based on the waveform p1 of the micro-pressure wave W1 radiated from the tunnel entrance 3b on the opposite side and measured at point X1. Therefore, there is no need to measure the compression wave W2 inside the tunnel 3 using a dedicated measuring device. Instead, the waveform p2 of the micro-pressure wave W1 at point X2, which is different from point X1, can be easily predicted based on the waveform p1 of the micro-pressure wave W1 measured at any point X1 using a commercially available pressure meter or the like, which allows relatively easy measurement. As a result, the waveform p2 of the micro-pressure wave W1 at the desired prediction point can be estimated from the actual measurement data of the waveform p1 of the micro-pressure wave W1 at a limited number of measurement points. For example, the waveform p2 of the micro-pressure wave W1 at point X2, which is private or public land where unauthorized entry by railway operators and railway construction companies is prohibited, can be estimated based on the waveform p1 of the micro-pressure wave W1 actually measured at point X1, where railway operators and railway construction companies can enter with permission.

[0053] (2) In this embodiment, the reference waveform p of the micro-pressure wave W1 at the points X1 and X2 is determined by theory, simulation, or experiment. ref,1 ,p ref,2 and the waveform p1 of the micro-pressure wave W1 measured at point X1, the waveform p2 of the micro-pressure wave W1 at point X2 is predicted. For this purpose, a reference pressure gradient waveform h ref Reference waveform p of micro-pressure wave W1 at two different points X1 and X2 ref,1 ,p ref,2 By obtaining the above, the waveform p2 of the micro-pressure wave W1 at point X2 can be easily obtained from the waveform p1 of the micro-pressure wave W1 measured at point X1.

[0054] The present invention is not limited to the above-described embodiment, and various modifications and alterations are possible as described below, and these are also within the scope of the present invention. (1) In this embodiment, the moving object is a train 1, but the present invention can also be applied to other moving objects, such as a magnetic levitation train or an automobile. In addition, in this embodiment, the waveform p2 of the micro-pressure wave W1 radiating from the entrance 3b on the opposite side of the tunnel 3 is predicted. However, the present invention is not limited to the case where the train 1 enters the tunnel 3. For example, the present invention can also be applied to fixed structures such as a tunnel entrance hood that covers the entrance 3a to reduce the micro-pressure wave W1, a snow shed (avalanche protection work) that covers the tracks from the slope of a mountain to allow avalanches to pass through, a snow shelter that covers the tracks to prevent snowdrifts on the tracks due to blowing snow or drifting snow, a rockfall cover (rockfall protection work) that covers the tracks to allow rocks that roll or fall from a slope to pass through, a grade separation such as a bridge or viaduct that crosses the tracks at a three-dimensional level, a station (bridge-mounted building) with a station building above the tracks, and an overpass that crosses the tracks to cross the tracks. Furthermore, in this embodiment, the train 1 is described as a Shinkansen train, but the present invention can also be applied to conventional line trains that run on conventional lines, or trains for Shinkansen-conventional line through service that can run on both Shinkansen and conventional lines.

[0055] (2) In this embodiment, the case where the track 2 is double-tracked has been described as an example, but the present invention can also be applied to cases where the track 2 is single-tracked or quadruple-tracked. Also, in this embodiment, the case where the waveform p2 of the micro-pressure wave W1 at point X2 is predicted based on the waveform p1 of the micro-pressure wave W1 measured at point X1 has been described as an example, but the present invention can also be applied to cases where the waveform p1 of the micro-pressure wave W1 at point X1 is predicted based on the waveform p2 of the micro-pressure wave W1 measured at point X2. [Explanation of symbols]

[0056] 1 Train (mobile) 2 tracks 3. Tunnel 3a wellhead 3b Opposite entrance 4. Waveform Prediction System 5 Waveform measurement device 6. Waveform Prediction Device 8 Waveform prediction section 9 Reference waveform setting section Point X1 (first point) Point X2 (second point) W1 micro-pressure wave (tunnel micro-pressure wave) Compression waves in the W2 tunnel h Pressure gradient waveform Waveform of micro-pressure wave at point X1 Waveform of micro-pressure wave at point p2 X2 h ref Reference pressure gradient waveform p ref,1 Reference waveform of micro-pressure waves at point X1 p ref,2 Reference waveform of micro-pressure waves at point X2

Claims

1. A method for predicting the waveform of a micro-pressure wave emitted from a tunnel entrance on the opposite side when a moving object enters the tunnel entrance, comprising: a waveform prediction step of predicting a waveform of a micro-pressure wave at a second point based on a waveform of a micro-pressure wave emitted from the wellhead on the opposite side and measured at a first point; A method for predicting the waveform of a micro-pressure wave, characterized by:

2. 2. The method for predicting a waveform of a micro-pressure wave according to claim 1, the waveform prediction step includes a step of predicting the waveform of the micro-pressure wave at the second point based on reference waveforms of the micro-pressure wave at the first and second points determined by theory, simulation, or experiment, and the waveform of the micro-pressure wave measured at the first point; A method for predicting the waveform of a micro-pressure wave, characterized by:

3. 3. The method for predicting a waveform of a micro-pressure wave according to claim 2, The waveform prediction step is performed by using a reference waveform p of the micro-pressure wave at the first point. ｒｅｆ，１ , the reference waveform p of the micro-pressure wave at the second point ｒｅｆ，２ , the waveform p of the micro-pressure wave measured at the first point １ When The waveform p of the micro-pressure wave at the second point ２ predicting the A method for predicting the waveform of a micro-pressure wave, characterized by:

4. A micro-pressure wave waveform prediction device that predicts the waveform of a micro-pressure wave radiated from the opposite tunnel entrance when a moving object enters the tunnel entrance, a waveform prediction unit that predicts the waveform of a micro-pressure wave at a second point based on the waveform of a micro-pressure wave radiated from the wellhead on the opposite side and measured at a first point; A micro-pressure wave waveform prediction device characterized by the above.

5. A micro-pressure wave waveform prediction program for predicting the waveform of a micro-pressure wave emitted from the opposite tunnel entrance when a moving object enters the tunnel entrance, having a computer execute a waveform prediction procedure for predicting the waveform of a micro-pressure wave at a second point based on the waveform of a micro-pressure wave radiated from the opposite wellhead and measured at a first point; A micro-pressure wave waveform prediction program that features:

Images