Method for processing information, information processing apparatus, and program

Abstract

To easily predict a vibration isolation effect that an underground vibration isolation wall has on vibrations propagating through the ground.SOLUTION: An information processing apparatus calculates the path difference between a direct path and a detour path, the direct path being a path from a vibration source located underground or on the ground surface to a vibration reception position shielded by an underground vibration isolation wall embedded in the ground and the detour path being a path from the vibration source to the vibration reception position via the outer edge of the vibration isolation wall. After that, the apparatus calculates a Fresnel number on the basis of the wavelength of a vibration wave propagating from the vibration source and the path difference, and analyzes a vibration isolation effect of the vibration isolation wall on the basis of the Fresnel number. The present embodiment may be implemented in any form such as a method for processing information, an information processing apparatus, or a program.SELECTED DRAWING: Figure 1

Description

[Technical Field]

[0001] FIELD Embodiments of the present application relate to an information processing method, an information processing device, and a program. The present application relates to, for example, a system for predicting the vibration isolation effect on a ground surface by an underground vibration isolation wall. [Background technology]

[0002] Vibrations propagating from various sources through the ground are a cause of pollution. For example, when vibrations generated by trains traveling propagate to the interior walls of a building, the walls vibrate, generating structure-borne noise. This structure-borne noise can have a serious impact on livability. One vibration-damping measure is to install a vibration-damping wall between the vibration source and the building. A vibration-damping wall buried underground for this purpose is called an underground vibration-damping wall. When using an underground vibration-damping wall to mitigate vibrations in a building, it is important to understand the extent to which the wall's effects can be achieved. Traditionally, the vibration-damping effect has been studied based on factors such as the wall's material, configuration, and insertion depth. Studies of vibration-damping effectiveness have focused primarily on quantitatively evaluating the magnitude of the effect. For example, Non-Patent Document 1 demonstrates that the construction of an underground vibration-damping wall made of steel sheet piles generally provides a blocking effect against ground vibrations caused by trains traveling. [Prior art documents] [Non-patent literature]

[0003] [Non-Patent Document 1] Kiyoshi Hayakawa et al., Isolation effect of steel sheet pile walls on ground vibration and elucidation of amplification phenomenon, Journal of the Japan Society of Civil Engineers, Vol. 62, No. 3, 492-501, July 2006. [Non-patent document 2] Junichi Maekawa, Experimental Study on Sound Insulation Design of Barriers (Fences), Journal of the Acoustical Society of Japan, Vol. 18, No. 4, 187-196, 1962 Summary of the Invention [Problem to be solved by the invention]

[0004] However, sufficient consideration has not been given to the planar vibration isolation effect on the ground surface obtained by installing underground vibration isolation walls. In the verification described in Non-Patent Document 1, only a predetermined number of measurement points were set at different distances from the railway line. Non-Patent Document 2 proposes a sound insulation design that applies diffraction theory by installing a sound barrier on the ground surface. The method described in Non-Patent Document 2 is called the Maekawa chart, which predicts the amount of sound wave attenuation from the geometric positional relationship between the sound source, sound barrier, and sound receiving point. However, the mechanisms by which sound propagates through the atmosphere and structure-borne sound caused by vibrations propagating underground are different. [Means for solving the problem]

[0005] In an information processing method according to a first aspect, an information processing device calculates the path difference between a direct path from a vibration source underground or on the ground surface to a vibration receiving position shielded by a vibration-isolating wall buried underground and a roundabout path from the vibration source to the vibration receiving position via the outer edge of the vibration-isolating wall, calculates the Fresnel number based on the wavelength of the vibration wave propagating from the vibration source and the path difference, and analyzes the vibration-isolating effect of the vibration-isolating wall based on the Fresnel number.

[0006] The information processing device according to the second aspect includes an analysis unit that calculates the path difference between a direct path from a vibration source underground or on the ground surface to a vibration receiving position shielded by a vibration-isolating wall buried underground and a roundabout path from the vibration source to the vibration receiving position via an end point on the outer edge of the vibration-isolating wall, calculates the Fresnel number based on the wavelength of the vibration wave propagating from the vibration source and the path difference, and analyzes the vibration-isolating effect of the vibration-isolating wall based on the Fresnel number. [Effects of the Invention]

[0007] According to this embodiment, it is possible to easily predict the vibration isolation effect of an underground vibration isolation wall against vibrations propagating underground. [Brief explanation of the drawings]

[0008] [Figure 1]FIG. 2 is a schematic block diagram illustrating an example of the functional configuration of the information processing system according to the present embodiment. [Figure 2] 10 is a flowchart illustrating a method for analyzing an image stabilization effect according to the present embodiment. [Figure 3] FIG. 10 is a plan view showing an example of setting an analysis model according to the present embodiment. [Figure 4] FIG. 10 is a cross-sectional view showing an example of setting an analysis model according to the present embodiment. [Figure 5] FIG. 10 is an explanatory diagram showing a direct path and a roundabout path in an analysis model according to the present embodiment. [Figure 6] FIG. 10 is a diagram illustrating an example of the settings of an analysis model used for verification. [Figure 7] 1 is a table illustrating the specifications of each member used in a comparative example. [Figure 8] 10A and 10B are diagrams illustrating examples of spatial distributions of attenuation and Fresnel numbers; [Figure 9] 10A and 10B are diagrams illustrating examples of spatial distribution of attenuation rates according to a comparative example and the present embodiment. DETAILED DESCRIPTION OF THE INVENTION

[0009] DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENTS Hereinafter, embodiments of the present application will be described with reference to the drawings. Fig. 1 is a schematic block diagram for explaining an example of the functional configuration of an information processing system S1 according to this embodiment. The information processing system S1 includes an information processing device 10, an input unit 20, and a display unit 30.

[0010] The information processing device 10 analyzes the vibration isolation effect of an underground vibration isolation wall for vibrations from a vibration source to a vibration receiving position that is shielded by the underground vibration isolation wall. In analyzing the vibration isolation effect, the information processing device 10 calculates the path difference between the direct path from the vibration source to the vibration receiving position and the roundabout path from the vibration source to the vibration receiving position via an end point on the outer edge of the underground vibration isolation wall. The information processing device 10 calculates the Fresnel number based on the wavelength of the vibration wave propagating from the vibration source and the path difference. The information processing device 10 evaluates the vibration isolation effect based on the calculated Fresnel number.

[0011] The input unit 20 is capable of receiving user operations and generates an operation signal in accordance with the received operation. The input unit 20 outputs the generated operation signal to the information processing device 10. The input unit 20 may be configured to include any input device, such as a mouse, a dial, a button, or a touch sensor.

[0012] The display unit 30 displays a display screen based on display data input from the information processing device 10. The display unit 30 may be, for example, a liquid crystal display (LCD) or an organic light emitting diode (OLED) display. The touch sensor that constitutes the input unit 20 and the display that constitutes the display unit 30 may be integrated into one unit and realized as a touch panel.

[0013] Next, an example of the functional configuration of the information processing device 10 according to this embodiment will be described. The information processing device 10 includes a processing unit 110 and a storage unit 130. The arithmetic processing unit 110 performs processing for realizing and controlling various functions of the information processing device 10. The functions of the arithmetic processing unit 110 will be described later. The storage unit 130 temporarily or permanently stores various data. Specific data stored in the storage unit 130 will be described together with the functions of the arithmetic processing unit 110.

[0014] The calculation processing unit 110 includes a model setting unit 112, an analysis unit 114, and an output processing unit . The model setting unit 112 sets in advance a model (sometimes referred to herein as an "analysis model") that analyzes the vibration isolation effect of vibrations propagating from a vibration source through a vibration isolation wall to a vibration receiving position. The model setting unit 112 sets the position of the vibration source, the arrangement of the vibration isolation wall, and the vibration receiving position according to an operation signal input from the input unit 20. The position of the vibration source may be fixed or may vary over time. The model setting unit 112 may set the trajectory of a moving vibration source. Even if the vibration source is a moving body, its trajectory may be fixed. The vibration receiving position is set in an area (sometimes referred to herein as a "shielded area") that is shielded from the position of the vibration source or its candidate trajectory. The vibration isolation wall is buried underground. The analysis model specifies the shape, thickness, burial depth, or inclination of the vibration isolation wall surface. The number of vibration receiving positions may be one or more. The model setting unit 112 stores the set analysis model in the storage unit 130.

[0015] FIG. 3 is a plan view showing an example of setting up an analytical model. In the example of FIG. 3, the vibration source Vs is a train. The vibration source Vs is movable along a track Tr fixed on the ground surface. The track Tr corresponds to, for example, a railway track. The vibration isolation wall Vi is buried underground at a certain distance from the track Tr. The surface of the vibration isolation wall Vi is oriented parallel to a plane stretched in the direction of the track Tr and in the vertical direction. For example, an area occupied by a building is set as the analysis target region St. The analysis target region St forms part of a shielded region set between the vibration source Vs and the vibration isolation wall Vi. Multiple vibration receiving positions P are set within the analysis target region St. Note that the arrangement of the vibration isolation wall Vi and the track Tr is arbitrary when setting up the analytical model. The directions of the vibration isolation wall Vi and the track Tr do not have to be parallel, and they may each be curved or meandering.

[0016] Figure 4 is a cross-sectional view showing an example of setting up an analytical model. Figure 4 shows a cross section stretched in a direction parallel to line AA' in Figure 3 and parallel to the vertical direction, and passing through the receiving position P. The receiving position P is set underground, and the vibration source Vs passes through a position opposite the receiving position P across the vibration isolation wall Vi. The coordinates P of the receiving position P xy(x, y) are expressed as two-dimensional coordinates on a cross section with the origin O being the position of the top end of the vibration isolation wall Vi. This cross section forms the xy plane. The x direction is the normal direction of the vibration isolation wall Vi, and corresponds to the direction away from the vibration source Vs. The y direction corresponds to the vertical direction. The vibration source Vs moving on the ground surface is at approximately the same height as the origin O. The x coordinate x0 of the two-dimensional coordinate S(x0, y0) of the vibration source Vs is a negative value, and the y coordinate y0 is a real value close to zero. Vibration receiving position P xy Grid points in the analysis target region St on the xy plane are set as follows: The grid points are set at predetermined intervals in both the x and y directions. When a subway car is used as the vibration source Vs and the influence of its running is analyzed, the model setting unit 112 may set a track Tr buried underground in the analysis model.

[0017] Returning to FIG. 1, the analysis unit 114 analyzes the vibration isolation effect of vibration waves propagating from the vibration source to the vibration receiving position. The analysis unit 114 refers to the analytical model stored in the memory unit 130 and calculates the path difference between the direct path from the vibration source to the vibration receiving position and the detour path. The detour path is a path from the vibration source to the vibration receiving position via an end point on the outer edge of the vibration isolation wall. In FIG. 5, the arrow pointing straight from the vibration source Vs to the vibration receiving position P indicates the direct path, the curved arrow passing through the bottom edge of the vibration isolation wall Vi indicates one detour path, and the curved arrow passing through the side edge indicates another detour path. In the detour path, diffracted waves generated at the outer edge of the vibration isolation wall Vi propagate and arrive at the vibration receiving position P. The analysis unit 114 uses the shortest path among the detour paths to calculate the path difference. Note that the direct wave from the vibration source is blocked by the vibration isolation wall Vi and is therefore relatively small. At the vibration receiving position P, the influence of the direct wave may be ignored and only the influence of the diffracted wave may be considered. The analysis unit 114 calculates, for example, the coordinates (x0, y0) of the vibration source S and the individual vibration receiving positions P xy Using the coordinates (x, y) of the xy Calculate.

[0018]

number

[0019] The analysis unit 114 calculates the path difference δ as shown in equation (2). xy The Fresnel number N is calculated by dividing the value by the wavelength λ of the vibration wave. xy When there are a plurality of receiving positions as illustrated in FIG. 4, the analysis unit 114 calculates the Fresnel number N xy The analysis unit 114 stores the Fresnel number N for each receiving position in the storage unit 130.

[0020]

number

[0021] The analysis unit 114 calculates the Fresnel number N xy is a predetermined value (for example, 0.5) or more. xy The region including the Fresnel number N may be defined as the region where the vibration isolation effect occurs (sometimes referred to as the "vibration isolation region" in this application). xy is 0.5, the path difference δ xy is equivalent to 1 / 4 of the wavelength λ of the vibration wave. In other words, the path difference δ xy is λ / 4 or more. xy The analysis unit 114 stores, in the storage unit 130, information on the image stabilization area that indicates the image stabilization area.

[0022] The analysis unit 114 detects the vibration receiving position P xy For each Fresnel number N xy The vibration damping amount ΔL is calculated using a predetermined function based on xy The analysis unit 114 calculates the attenuation ΔL using, for example, equation (3). xy Attenuation ΔL can be calculated. xy is the Fresnel number N xy The analysis unit 114 calculates the attenuation amount ΔL for each receiving position. xyare stored in the storage unit 130. Note that, although Fig. 4 illustrates a two-dimensional distribution of vibration receiving positions, more generally, vibration receiving positions are set in a three-dimensional space.

[0023]

number

[0024] The output processing unit 116 executes processing for outputting various types of information. For example, the output processing unit 116 configures a display screen that illustrates the stabilization area obtained by the analysis unit 114. The output processing unit 116 outputs display data showing the configured display image to the display unit 30. The display unit 30 displays the stabilization area in accordance with the display data input from the output processing unit 116. The output processing unit 116 may configure a display screen that illustrates an attenuation distribution consisting of the attenuation for each receiving position obtained by the analysis unit 114. The output processing unit 116 can output display data showing the configured display image to the display unit 30 to illustrate the attenuation distribution. The positional relationship between the vibration isolation area, the vibration isolation wall, and the vibration source (or trajectory) may be displayed two-dimensionally or three-dimensionally using known computer graphic techniques.

[0025] Next, an example of a method for analyzing the vibration isolation effect according to this embodiment will be described below. Fig. 2 is a flowchart illustrating the method for analyzing the vibration isolation effect according to this embodiment. (Step S102) The model setting unit 112 sets the position of the vibration source, the arrangement of the vibration-proof walls, and the vibration receiving positions in response to user operations. (Step S104) The analysis unit 114 calculates, for each vibration receiving position, the path difference between the direct path from the vibration source to the vibration receiving position and the roundabout path that detours around the outer edge of the vibration isolation wall. (Step S106) The analysis unit 114 calculates the Fresnel number based on the calculated path and the wavelength of the vibration wave.

[0026] (Step S108) The analysis unit 114 identifies an area where the calculated Fresnel number is equal to or greater than a predetermined reference value as an image stabilization area. (Step S110) The analysis unit 114 calculates the amount of vibration attenuation based on the calculated Fresnel number. (Step S112) The output processing unit 116 visualizes the identified vibration isolation areas and attenuation amounts. Here, the output processing unit 116 configures a display screen illustrating the distribution of vibration isolation areas and attenuation amounts, and outputs display data showing the configured display screen to the display unit 30. Thereafter, the processing in FIG. 2 ends.

[0027] Next, verification of the estimation performance of the vibration isolation effect by the information processing device 10 according to this embodiment will be described. For the verification, an analytical model exemplified in FIG. 6 was used. It was assumed that the space to be analyzed was a cube with sides of 30 m, and that the ground was occupied by two layers of earth. One of the two layers was identified as layer 1 and the other as layer 2. Layers 1 and 2 were stacked in descending order of height. The thickness of layer 1 was set to 20 m, and the thickness of layer 2 was set to 10 m. The trajectory Tr of the vibration source Vs was set on the ground surface 10 m away from the rear of the space to be analyzed in the front direction. The vibration isolation wall Vi was set at a position 15 m away from the rear of the space to be analyzed in the front direction, parallel to and perpendicular to the trajectory Tr. The total length and depth of the vibration isolation wall Vi were set to 20 m and 12 m, respectively.

[0028] As a comparative example, voxel finite element analysis was performed. Voxel finite element analysis represents each element space as a voxel and sequentially calculates the displacement of each voxel based on the displacement and excitation force of neighboring voxels. The relationship between the displacement of neighboring voxels and the excitation force is derived from the wave equation. In this verification, the length of one side of a voxel was set to 0.25 m. A five-car train was assumed as the moving load that served as the vibration source Vs. The train's total length was set to 20.5 m, with four axles per car and a moving speed of 50 km / h. The thickness of the vibration isolation wall Vi was set to 0.25 m. This thickness corresponds to the length of one side of a voxel. In the analysis, an excitation force waveform simulating this movement was applied to the train's position at each point in time. In other words, the position where the excitation force was applied was moved from one end of the track Tr to the other at that moving speed.

[0029] In the comparative example, sheet piles were assumed as vibration-proof walls. Sheet piles correspond to steel sheet piles. The specifications of layer 1, layer 2, and the protective wall used in the comparative example are shown in Figure 7. The density (unit volume weight) of layer 1 and the density of layer 2 were both set to 1850 kg / m 3 The Poisson's ratio of layer 1 and the Poisson's ratio of layer 2 were both set to 0.250. The density (unit volume weight) of layer 1 and the density of layer 2 were both set to 1850 kg / m 3 The Young's modulus of layer 1 was set to 1.04 × 10 8 (N / m 2 ) and the Young's modulus of layer 2 is 7.04 × 10 8 (N / m 2 The density (unit volume weight) of the vibration isolation wall was set to 1.14 × 10 4 kg / m 3 The Poisson's ratio is 0.2, and the Young's modulus is 1.25×10 10 (N / m 2 The discrete time interval ΔT was set to 0.0001 s, and the analysis time for each analysis was set to 10 s. In the comparative example, analysis was performed for both conditions where the vibration isolation wall was buried and where it was not buried. In the analysis, the vertical acceleration response waveform was calculated for each voxel on the surface of the space to be analyzed for each 1 / 3 octave band.

[0030] FIG. 8 illustrates the spatial distribution of attenuation and Fresnel number. FIG. 8 shows the attenuation obtained by the comparative example for each frequency band using shading. The darker the area, the greater the attenuation (the smaller the value). FIGS. 8(a), (b), (c), and (d) show the distribution of attenuation in the 16 Hz band, 31.5 Hz band, 50 Hz band, and 63 Hz band, respectively. Attenuation corresponds to the ratio of the acceleration response level obtained with the vibration-isolating wall embedded to the acceleration response level obtained without the vibration-isolating wall embedded, i.e., the relative vibration acceleration level. FIGS. 8(a), (b), (c), and (d) all show contours based on the Fresnel number N superimposed on the spatial distribution of attenuation. The Fresnel number N is derived according to this embodiment. In FIG. 8, the values ​​0.2, 0.5, 0.9, and 1.2 indicate the contours for Fresnel numbers N of 0.2, 0.5, 0.9, and 1.2, respectively. 8, the region where the attenuation is −12 dB or less in any frequency band almost coincides with the vibration isolation region where the Fresnel number N is 0.5 or more. This shows that the vibration isolation region where vibration isolation effect can be obtained can be estimated simply and reliably based on the Fresnel number as in this embodiment.

[0031] FIG. 9 is a diagram illustrating the spatial distribution of attenuation rates according to a comparative example and this embodiment. FIG. 9(a) illustrates the spatial distribution of attenuation in the 50 Hz band. FIG. 9(b) illustrates the spatial distribution of attenuation in the 63 Hz band. The left column of FIG. 9 shows the attenuation rates obtained by voxel finite element analysis, and the right column shows the attenuation rates obtained by this embodiment. In both FIGS. 9(a) and 9(b), the darker the area, the higher the attenuation. However, in FIGS. 9(a) and 9(b), the areas of the analysis target space where the attenuation changes significantly in shade are enlarged. 9 shows that the spatial distribution of the attenuation rate obtained by the voxel-limited analysis and the spatial distribution of the attenuation rate obtained by this embodiment have similar tendencies for each frequency band. This also shows that this embodiment can easily and accurately estimate the attenuation rate ΔL from the Fresnel number N.

[0032] While the above description primarily focuses on the case where the vibration source is a train and the track is a railway track, this is not limiting. For example, the vibration source may be a car and the track along which the vibration source moves may be a road. Furthermore, the vibration source may move without being constrained to a predetermined track, or may be stationary. Furthermore, the size, shape, and orientation of the vibration source, vibration-isolating wall, and vibration-receiving area in the analysis model are not limited to those illustrated. The model setting unit 112 may arbitrarily set the size, shape, and orientation of the vibration source, vibration-isolating wall, and vibration-receiving area. The frequency of the vibration to be analyzed may also be arbitrarily set. The frequency of the vibration to be analyzed may be, for example, the frequency that constitutes the main component of the vibration generated by the vibration source, or a frequency band within a predetermined range from that frequency. This allows for easy analysis of the vibration propagation situation at frequencies where structure-borne sound tends to be prominent.

[0033] The information processing device 10 may be configured to include dedicated hardware or a general-purpose computer system. A computer system generally includes a processor and a storage medium. The processor reads a program persistently stored in advance in the storage medium and executes processing instructed by commands written in the read program, thereby realizing the functions of each part of the information processing device 10 in cooperation with the storage medium and other hardware. The processor may be, for example, a CPU (Central Processing Unit), but is not limited to this. The information processing device 10 may be realized as any form of electronic device, such as a personal computer, a tablet terminal device, or a mobile phone. The information processing device 10 may be configured as a single electronic device that integrally includes one or both of the input unit 20 and the display unit 30, or may not be configured as an integrated device. The display unit 30 may be integrated with a touch sensor that constitutes the input unit 20 and configured as a touch panel.

[0034] As described above, the information processing device 10 according to this embodiment calculates the path difference between the direct path from a vibration source underground or on the ground surface to a vibration receiving position that is shielded by a vibration isolation wall buried underground, and the roundabout path from the vibration source to the vibration receiving position that passes along the outer edge of the vibration isolation wall, calculates the Fresnel number based on the wavelength of the vibration wave propagating from the vibration source and the path difference, and analyzes the vibration isolation effect of the vibration isolation wall based on the calculated Fresnel number. With this configuration, the Fresnel number is calculated based on the path difference between the direct path from the underground vibration source to the receiving position and the detour path that bypasses the outer edge of the protective wall, and the vibration wave.The calculated Fresnel number is used to easily estimate the vibration isolation effect of the vibration isolation wall with a certain degree of reliability.This analysis of the vibration isolation effect does not require a large amount of calculation such as finite element analysis, and can be achieved using relatively small computing resources. This embodiment may also be implemented as follows.

[0035] The analysis unit 114 may calculate the Fresnel number for each receiving position, and estimate an area including a receiving position where the Fresnel number is equal to or greater than a predetermined reference value. The analysis unit 114 may calculate the amount of attenuation of the vibration wave caused by the vibration-proof wall at the vibration receiving position based on the wavelength and Fresnel number of the vibration wave propagating from the vibration source. An output processing unit 116 may be provided to output a display screen showing the distribution of attenuation or a region where the Fresnel number is equal to or greater than a predetermined reference value. The system may also include a model setting unit 112 that sets the arrangement of the vibration source, vibration isolation wall, and vibration receiving position to be analyzed.

[0036] Another aspect of this embodiment may be a program for causing a computer to function as the information processing device 10. Another aspect of this embodiment may be an information processing system S1 including a first camera 20-1, a second camera 20-2, and an information processing device 10. Another aspect of this embodiment may be an information processing method in which the information processing device 10 calculates the path difference between a direct path from a vibration source underground or on the ground surface to a vibration receiving position that is shielded by a vibration isolation wall buried underground and a roundabout path from the vibration source to the vibration receiving position via an end point on the outer edge of the vibration isolation wall, calculates the Fresnel number based on the wavelength of the vibration wave propagating from the vibration source and the path difference, and analyzes the vibration isolation effect of the vibration isolation wall based on the Fresnel number.

[0037] Although the present embodiment has been described above in detail with reference to the drawings, the specific configuration is not limited to the above-described configurations, and includes designs within the scope of the present embodiment. The above-described configurations can be combined in any manner, and some of them can be omitted. [Explanation of symbols]

[0038] S1...information processing system, 10...information processing device, 20...input unit, 30...display unit, 110...arithmetic processing unit, 112...model setting unit, 114...analysis unit, 116...output processing unit, 130...storage unit

Claims

1. Information processing device A direct path from a vibration source underground or on the ground surface to a receiving position shielded by a vibration isolation wall buried underground; calculating a path difference between the vibration source and a roundabout path from the vibration source to the vibration receiving position via an outer edge of the vibration-isolating wall; Calculating a Fresnel number based on the wavelength of the vibration wave propagating from the vibration source and the path difference; The vibration isolation effect of the vibration isolation wall is analyzed based on the Fresnel number. Information processing methods.

2. The information processing device calculates the Fresnel number for each of the vibration receiving positions, An area including a receiving position where the Fresnel number is equal to or greater than a predetermined reference value is estimated. The information processing method according to claim 1 .

3. The information processing device calculates the amount of attenuation of the vibration wave by the vibration-proof wall at the vibration receiving position based on the wavelength of the vibration wave propagating from the vibration source and the Fresnel number. The information processing method according to claim 1 .

4. The information processing device includes: A screen showing the distribution of the attenuation amount or the area where the Fresnel number is equal to or greater than a predetermined reference value is output. The information processing method according to claim 3 .

5. The information processing device includes: Set the locations of the vibration source, vibration isolation wall, and vibration receiving position to be analyzed. The information processing method according to claim 1 .

6. A direct path from a vibration source underground or on the ground surface to a receiving position shielded by a vibration isolation wall buried underground; calculating a path difference between the vibration source and a roundabout path from the vibration source to the vibration receiving position via an outer edge of the vibration-isolating wall; Calculating a Fresnel number based on the wavelength of the vibration wave propagating from the vibration source and the path difference; an analysis unit that analyzes the vibration isolation effect of the vibration isolation wall based on the Fresnel number; Information processing device.

7. A program for causing a computer to function as the information processing device according to claim 6.

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