Roadway full life cycle deformation monitoring system and method based on multi-directional laser ranging

Abstract

The present disclosure provides a roadway full life cycle deformation monitoring system and method based on multi-directional laser ranging, relating to the technical field of coal mine roadway surrounding rock deformation monitoring, comprising: based on the distance between the device placement point and the roadway side wall and the distance between the device placement point and the roadway bottom surface measured by the laser probe before and after the roadway deformation, the horizontal distance between the device placement point and the roadway side wall before and after the roadway deformation is calculated, and the vertical distance to the ranging point is calculated, and the horizontal distance, vertical distance and straight line distance of the ranging point before and after the roadway deformation are further calculated; the monitoring angle alpha of the laser probe can be adjusted to realize the calculation of the deformation amount at different positions of the roadway side wall.

Description

Technical Field

[0001] This disclosure relates to the field of coal mine roadway surrounding rock deformation monitoring technology, specifically to a roadway full life cycle deformation monitoring system and method based on multi-directional laser ranging. Background Technology

[0002] The statements in this section are merely background information relating to this disclosure and do not necessarily constitute prior art.

[0003] Coal mine roadway surrounding rock deformation monitoring technology, as a crucial component of the coal mine safety monitoring system, is important not only for early warning and prevention of potential geological disasters but also for its profound impact on the sustainability and safety of coal mine production. Although various monitoring devices, such as the "cross-point method," laser rangefinders, and total stations, have been used in coal mine roadway surrounding rock deformation monitoring for many years, the complexity of the underground coal mine roadway environment still presents a series of complex and profound challenges in practical applications. To address these issues, several new technologies and methods for monitoring roadway surrounding rock deformation have been developed.

[0004] Among existing methods, patent CN111220086A – a method for monitoring roadway surrounding rock deformation based on three-dimensional laser scanning – uses a three-dimensional laser scanner to perform non-contact high-speed laser scanning of the current state of the roadway, achieving comprehensive, dynamic, and continuous observation of the deformation of the entire coal mine roadway. Patent CN117367301A – a method for monitoring roadway surrounding rock convergence deformation – employs a cross-point layout method with a laser testing device, allowing for arbitrary setting of measuring points and rapid measurement of roadway roof subsidence, floor heave, and sidewall convergence, with advantages such as less measurement data, lower operational difficulty, and higher measurement accuracy. Patent CN111829441A – a method for monitoring roadway surface displacement deformation based on laser ranging principles – mainly includes a laser ranging module, a transmission module, and a system control module. The laser ranging module performs a 360° periodic rotation and reset according to a set rotation angle θ and rotation interval time t, emitting a laser beam to the monitoring point on the roadway cross-section for each rotation angle θ as a single-point distance measurement.

[0005] In summary, although laser ranging has been widely used in coal mine roadway deformation monitoring due to its advantages of convenience, safety, and accuracy, and has become a mainstream method of innovative monitoring technology, the above-mentioned methods still have the following limitations due to the narrow spaces and numerous interference factors in coal mine roadways:

[0006] (1) Monitoring accuracy and reliability: Due to the complex environment of the tunnel, the performance limitations of monitoring equipment, and the influence of data processing methods, the accuracy and reliability of existing monitoring technologies still need to be improved. In particular, under extreme conditions such as high stress, high temperature, and high humidity, the accuracy of monitoring data faces severe challenges.

[0007] (2) Real-time monitoring and data transmission: In deep mines, due to limited communication conditions, the real-time transmission of monitoring data becomes a major challenge. This affects the timeliness and availability of monitoring data and limits the rapid response capability of monitoring technology in emergency situations.

[0008] (3) Adaptability of monitoring equipment: The geological conditions of the surrounding rock in tunnels are diverse, including soft rock, hard rock, fault zones, etc. The requirements for monitoring equipment vary under different geological conditions. The monitoring equipment currently on the market is often unable to fully adapt to various complex geological conditions, which affects the monitoring effect.

[0009] (4) Long-term monitoring and maintenance: Deformation of the surrounding rock in a roadway is a long-term process that requires continuous and stable monitoring. However, existing methods cannot achieve long-term maintenance and replacement of monitoring equipment, as well as continuous management of monitoring data. Summary of the Invention

[0010] To address the aforementioned issues, this disclosure proposes a roadway full life-cycle deformation monitoring system and method based on multi-directional laser ranging. By improving the structure of the monitoring device, adopting a rigid structure and an outer waterproof material, it is possible to monitor and transmit data in real time the deformation of the surrounding rock in coal mine roadways under various complex geological conditions such as soft rock, hard rock, and fault zones, as well as under extreme conditions such as high stress, high temperature, and high humidity.

[0011] According to some embodiments, the present disclosure adopts the following technical solutions:

[0012] A method for monitoring the deformation of roadways throughout their entire lifecycle based on multi-directional laser ranging includes:

[0013] Set up the placement points for the roadway monitoring device, the distance measurement points between the laser probe and the roadway sidewall, and the placement points and distance measurement points for the device after the roadway is deformed.

[0014] Obtain the vertical distance from the measuring point to the roadway surface before and after roadway deformation;

[0015] The distance between the device placement point and the sidewall of the roadway, as well as the distance between the device placement point and the bottom surface of the roadway, were obtained by the laser probe before and after the roadway deformation.

[0016] Based on the distances between the device placement point and the roadway sidewall and the roadway bottom surface measured by the laser probe before and after roadway deformation, calculate the horizontal distance between the device placement point and the roadway sidewall, and the vertical distance between the device placement point and the measuring point before and after roadway deformation; calculate the horizontal distance and vertical distance of the measuring point before and after roadway deformation.

[0017] Based on the horizontal and vertical distances between the measuring points before and after the roadway deformation, the deformation at different locations on the roadway sidewall can be calculated.

[0018] According to some embodiments, the present disclosure adopts the following technical solutions:

[0019] A tunnel deformation monitoring system based on multi-directional laser ranging includes a tunnel monitoring device and a computing module. The tunnel monitoring device includes a fixed support, a waterproof cover, a fixing wire, a fixed center, an arc-shaped guide rail, a laser probe, and a Bluetooth wireless board. The fixed support is externally connected to the waterproof cover, and the fixed support and the waterproof cover are fixed in the surrounding rock of the borehole by the fixing wire. A fixed center is set at the center of the fixed support, and the Bluetooth wireless board is set inside the fixed center. The fixed center is connected to the slider of the arc-shaped guide rail by one or more thin steel wires.

[0020] Furthermore, the arc-shaped guide rail is arranged around the fixed center, and the arc-shaped guide rail is equipped with a slider that can move along the rail;

[0021] Furthermore, the laser probe is connected to the slider via a fixed steel wire. When the tunnel deforms and tilts, the slider can automatically adjust its position along the arc-shaped guide rail to ensure that the laser probe remains vertical under the action of gravity.

[0022] According to some embodiments, the present disclosure adopts the following technical solutions:

[0023] A computer program product includes a computer program that, when executed by a processor, implements the aforementioned method for monitoring the deformation of roadways throughout their entire lifecycle based on multi-directional laser ranging.

[0024] According to some embodiments, the present disclosure adopts the following technical solutions:

[0025] A non-transitory computer-readable storage medium is provided for storing computer instructions, which, when executed by a processor, implement the aforementioned method for monitoring the deformation of roadways throughout their entire life cycle based on multi-directional laser ranging.

[0026] According to some embodiments, the present disclosure adopts the following technical solutions:

[0027] An electronic device includes a processor, a memory, and a computer program; wherein the processor is connected to the memory, the computer program is stored in the memory, and when the electronic device is running, the processor executes the computer program stored in the memory to enable the electronic device to implement the method for monitoring the deformation of roadways throughout their entire life cycle based on multi-directional laser ranging.

[0028] Compared with the prior art, the beneficial effects of this disclosure are as follows:

[0029] This disclosed tunnel full life cycle deformation monitoring system based on multi-directional laser ranging designs a monitoring device with simple installation, mostly rigid structure, and waterproof cover made of waterproof material, which has excellent sealing performance, effectively preventing moisture and dust from entering the monitoring device and protecting precision electronic components from damage. It can adapt to various complex geological conditions such as soft rock, hard rock, and fault zones, as well as extreme conditions such as high stress, high temperature, and high humidity, thus improving the adaptability of the monitoring equipment.

[0030] This disclosed roadway full life-cycle deformation monitoring system based on multi-directional laser ranging incorporates a Bluetooth wireless card in the monitoring device. This Bluetooth wireless card can be optionally configured with multiple communication protocols to ensure high-speed and low-latency data transmission. Personnel carrying data acquisition equipment can receive measurement data simply by approaching the monitoring device, enabling real-time monitoring and data transmission, thus improving the timeliness and usability of the monitoring data.

[0031] This disclosed method for monitoring the deformation of roadways throughout their entire lifecycle based on multi-directional laser ranging optimizes the data processing method. It sets the laser probe's ranging angle against the roadway sidewall, and this angle is adjustable, allowing for the measurement and calculation of deformation at different locations on the roadway sidewall. By calculating the deformation of the coal mine roadway floor and sidewalls, the monitoring accuracy and reliability are improved. Attached Figure Description

[0032] The accompanying drawings, which form part of this disclosure, are used to provide a further understanding of this disclosure. The illustrative embodiments of this disclosure and their descriptions are used to explain this disclosure and do not constitute an undue limitation of this disclosure.

[0033] Figure 1 This is a diagram of the roadway support system for the multi-directional laser roadway deformation monitoring system according to an embodiment of this disclosure;

[0034] Figure 2 This is a schematic diagram of the laser ranging assembly structure according to an embodiment of the present disclosure. Figure 1 ;

[0035] Figure 3 This is a schematic diagram of the laser ranging assembly structure according to an embodiment of the present disclosure. Figure 2 ;

[0036] Figure 4 This is a front view of the laser ranging assembly according to an embodiment of this disclosure;

[0037] Figure 5 This is a side view of a laser ranging assembly according to an embodiment of this disclosure;

[0038] Figure 6 This is a schematic diagram of the arc-shaped guide rail structure according to an embodiment of the present disclosure;

[0039] Figure 7This is a schematic diagram of the principle of the multi-directional laser tunnel periodic deformation monitoring method according to an embodiment of this disclosure.

[0040] The components include: 1. fixed support, 2. waterproof cover, 3. fixed steel wire, 4. fixed center, 5. arc-shaped guide rail, and 6. laser probe. Detailed Implementation

[0041] The present disclosure will be further described below with reference to the accompanying drawings and embodiments.

[0042] It should be noted that the following detailed descriptions are illustrative and intended to provide further explanation of this disclosure. Unless otherwise specified, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this disclosure pertains.

[0043] It should be noted that the terminology used herein is for the purpose of describing particular embodiments only and is not intended to limit the exemplary embodiments according to this disclosure. As used herein, the singular form is intended to include the plural form as well, unless the context clearly indicates otherwise. Furthermore, it should be understood that when the terms “comprising” and / or “including” are used in this specification, they indicate the presence of features, steps, operations, devices, components, and / or combinations thereof.

[0044] Example 1

[0045] One embodiment of this disclosure provides a tunnel full life cycle deformation monitoring system based on multi-directional laser ranging, including a tunnel monitoring device and a computing module, wherein the tunnel monitoring device and the computing module communicate and transmit data.

[0046] like Figure 2 As shown, the tunnel monitoring device includes a fixed support 1, a waterproof cover 2, a fixing wire 3, a fixing center 4, an arc-shaped guide rail 5, a laser probe 6, and a Bluetooth wireless board. The fixed support 1 is externally fixed to the waterproof cover 2, and the fixed support 1 and the waterproof cover 2 are fixed in the surrounding rock of the borehole by the fixing wire 3. The fixing center 4 is set at the center of the fixed support 1, and the Bluetooth wireless board is installed inside the fixing center 4. The fixing center 4 is connected to the slider of the arc-shaped guide rail 5 by one or more thin steel wires. The laser probe 6 is connected to the slider by the fixing wire.

[0047] In this embodiment, the fixed support 1 is a rigid hollow cylindrical structure made of high-strength material, used for installation inside the borehole-containing surrounding rock to provide rigid support for the automated roadway deformation monitoring device; ensuring sufficient strength for the automated roadway deformation monitoring device inside the borehole-containing surrounding rock. The waterproof cover 2 is made of corrosion-resistant metal or high-strength plastic, and is a cylindrical rigid structure. It is installed outside the fixed support 1 to provide waterproof protection for the monitoring device, has excellent sealing performance, effectively prevents moisture and dust from entering the monitoring device, and protects the precision electronic components from damage.

[0048] The fixing wire 3 is made of high-strength alloy steel and welded into a claw shape. The claw opening opens vertically downwards to fix the fixing support 1 and the waterproof cover 2 in the surrounding rock of the borehole, ensuring the stability of the entire device.

[0049] The fixed center 4 is positioned at the center of the fixed support 1 and is used to adjust the height of the laser probe above the roadway surface during deformation measurement in coal mine roadways. It can also house a built-in Bluetooth wireless card to support short-range wireless data transmission. This Bluetooth wireless card can be optionally configured with various communication protocols to ensure high-speed and low-latency data transmission. Furthermore, the fixed center 4 is connected to a slider on an arc-shaped guide rail via one or more thin steel wires. The Bluetooth wireless card is used for short-range wireless communication, connecting peripheral devices such as mice, keyboards, and headphones.

[0050] The arc-shaped guide rail 5 is arranged around the fixed center 4 and is made of a lightweight but high-strength alloy material, which ensures both structural robustness and reduces overall weight. The arc-shaped guide rail 5 is equipped with a specially designed slider that can move along the rail in a fixed direction. This limits the irregular horizontal movement of the laser probe, ensuring that the laser probe remains vertical to the ground under gravity during deformation measurement in coal mine roadways.

[0051] The laser probe 6 is also connected to the slider via a steel wire. When the roadway deforms and tilts, the slider automatically adjusts its position along the arc-shaped guide rail, ensuring that the laser probe remains vertical under gravity and continues to perform accurate measurements unaffected by roadway deformation. The laser probe is used to measure the distance between the automated roadway deformation monitoring device and the coal mine roadway cross-section at a specified angle, providing high-precision data, which is further used by the calculation module to calculate the amount of roadway deformation.

[0052] In one embodiment, a Bluetooth wireless board is positioned inside the fixed center, which is connected to a slider on an arc-shaped guide rail via a steel wire. The laser probe is also connected to the slider via a steel wire. The slider moves along the arc-shaped guide rail, ensuring that even after a coal mine roadway is deformed and tilted, the laser probe, under the influence of gravity, moves the slider to maintain its vertical position relative to the ground, allowing it to continue measuring unaffected by roadway deformation.

[0053] In this embodiment, the laser probe is one of the core components of the entire system. Employing high-precision laser ranging technology, it can monitor changes in the tunnel cross-section in real time. The measured data is transmitted to external devices, such as laptops, tablets, or other compatible display terminals, via the Bluetooth wireless card. Staff carrying data acquisition equipment can receive the measurement data by approaching the monitoring device, allowing on-site technicians to analyze and process it promptly.

[0054] like Figure 1 As shown, the automated monitoring device for roadway deformation based on multi-directional laser ranging is buried in the surrounding rock containing boreholes and is used for real-time monitoring and data transmission of the deformation of the surrounding rock in coal mine roadways.

[0055] Example 2

[0056] One embodiment of this disclosure provides a method for monitoring the deformation of roadways throughout their entire life cycle based on multi-directional laser ranging, comprising the following steps:

[0057] Step 1: Set up the placement points for the roadway monitoring device, the distance measurement points between the laser probe and the roadway sidewall, and the placement points and distance measurement points for the device after the roadway is deformed;

[0058] Step 2: Obtain the vertical distance from the measuring point to the roadway surface before and after the roadway deformation;

[0059] Step 3: Obtain the distance between the device placement point and the sidewall of the roadway, as well as the distance between the device placement point and the bottom surface of the roadway, measured by the laser probe before and after the roadway deformation.

[0060] Step 4: Based on the distances between the device placement point and the roadway sidewall and the roadway bottom surface measured by the laser probe before and after roadway deformation, calculate the horizontal distance between the device placement point and the roadway sidewall and the vertical distance to the measuring point before and after roadway deformation, and calculate the horizontal and vertical distances of the measuring point before and after roadway deformation.

[0061] Step 5: Calculate the deformation at different locations on the roadway sidewall based on the horizontal and vertical distances between the measuring points before and after the roadway deformation.

[0062] As one example, taking a rectangular roadway in a coal mine as an example, such as... Figure 7 As shown, point A is the location where the roadway monitoring device is installed, point B is the distance measurement point between the laser probe and the roadway sidewall at an angle α, and points A' and B' are the device point and distance measurement point after the roadway is deformed.

[0063] l1 and l2 are the distances between the roadway monitoring device point and the roadway sidewall and the roadway bottom surface measured by the laser probe at angle α before the roadway deformation, respectively. l3 and l4 are the distances between the roadway monitoring device point and the roadway sidewall and the roadway bottom surface measured by the laser probe at angle α after the roadway deformation, respectively.

[0064] x1 and y1 represent the horizontal distance between the monitoring device point and the roadway sidewall and the vertical distance to the measuring point before roadway deformation, respectively; x2 and y2 represent the horizontal distance between the monitoring device point and the roadway sidewall and the vertical distance to the measuring point after roadway deformation, respectively. These distances can be calculated using the Pythagorean theorem based on angles α and l1, l2, l3, and l4. z1 and z2 represent the vertical distances from the measuring point to the roadway floor before and after roadway deformation, respectively. These distances can be calculated using the following formula:

[0065] x1=l1 sinα

[0066] x2=l2 sinα

[0067] y1=l1 cosα

[0068] y2=l2 cosα

[0069] z1 = l3 - y1

[0070] z2=l4-y2

[0071] Furthermore, 'a' represents the horizontal distance of the measuring point before and after the roadway deformation, 'b' represents the vertical distance of the measuring point before and after the roadway deformation, and 'c' represents the straight-line distance of the measuring point before and after the roadway deformation. These can be calculated using the following formula:

[0072] a = x1 - x2

[0073] b = z2 - z1

[0074]

[0075] Optionally, the monitoring angle α of the laser probe can be adjusted, thereby allowing for the measurement and calculation of deformation at different locations on the roadway sidewall.

[0076] Example 3

[0077] One embodiment of this disclosure provides a computer program product, including a computer program that, when executed by a processor, implements the aforementioned method for monitoring the deformation of roadways throughout their entire life cycle based on multi-directional laser ranging.

[0078] Example 4

[0079] One embodiment of this disclosure provides a non-transitory computer-readable storage medium for storing computer instructions. When these computer instructions are executed by a processor, they implement the method for monitoring the deformation of a roadway throughout its entire life cycle based on multi-directional laser ranging.

[0080] Example 5

[0081] One embodiment of this disclosure provides an electronic device, including a processor, a memory, and a computer program; wherein the processor is connected to the memory, and the computer program is stored in the memory. When the electronic device is running, the processor executes the computer program stored in the memory to enable the electronic device to implement the method for monitoring the deformation of the roadway throughout its entire life cycle based on multi-directional laser ranging.

[0082] This disclosure is described with reference to flowchart illustrations and / or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of this disclosure. It will be understood that each block of the flowchart illustrations and / or block diagrams, and combinations of blocks in the flowchart illustrations and / or block diagrams, can be implemented by computer program instructions. These computer program instructions can be provided to a processor of a general-purpose computer, special-purpose computer, embedded processor, or other programmable data processing apparatus to produce a machine, such that the instructions, which execute via the processor of the computer or other programmable data processing apparatus, create a machine for implementing the flowchart illustrations and / or block diagrams. Figure 1 One or more processes and / or boxes Figure 1 A device that provides the functions specified in one or more boxes.

[0083] These computer program instructions may also be loaded onto a computer or other programmable data processing equipment to cause a series of operational steps to be performed on the computer or other programmable equipment to produce a computer-implemented process, thereby providing instructions that execute on the computer or other programmable equipment for implementing the process. Figure 1 One or more processes and / or boxes Figure 1 The steps of the function specified in one or more boxes.

[0084] While the specific embodiments of this disclosure have been described above in conjunction with the accompanying drawings, this is not intended to limit the scope of protection of this disclosure. Those skilled in the art should understand that various modifications or variations that can be made by those skilled in the art without creative effort based on the technical solutions of this disclosure are still within the scope of protection of this disclosure.

Claims

1. A roadway full life cycle deformation monitoring system based on multi-directional laser ranging, characterized in that, The application relates to a roadway deformation monitoring device and a computing module, wherein the roadway deformation monitoring device comprises a fixed support, a waterproof cover, a fixed steel wire, a fixed center, an arc-shaped guide rail, a laser probe and a Bluetooth wireless board, the waterproof cover is fixedly connected above the fixed support, and the fixed support and the waterproof cover are fixed in a borehole surrounding rock through the fixed steel wire; a fixed center is arranged at a central position in the fixed support, the fixed center is internally provided with the Bluetooth wireless board, and the fixed center is connected with a slider of the arc-shaped guide rail through one or more thin steel wires; and the laser probe is connected with the slider through the fixed steel wire. When the roadway is deformed and tilted, the slider can automatically adjust the position along the arc-shaped guide rail, so that the laser probe always keeps a vertical state under the action of gravity. 2.The multi-directional laser ranging based roadway full life cycle deformation monitoring system according to claim 1, wherein, The arc-shaped guide rail is arranged around the fixed center, and the slider is arranged on the arc-shaped guide rail and can move along the track.

3. The method for monitoring deformation of a roadway in a whole life cycle based on multi-directional laser ranging, which is implemented by using the system for monitoring deformation of a roadway in a whole life cycle based on multi-directional laser ranging according to any one of claims 1-2, characterized in that, The application further relates to a roadway full-life-cycle deformation monitoring method based on multi-directional laser ranging. The application further relates to a roadway full-life-cycle deformation monitoring device based on multi-directional laser ranging. The application further relates to an electronic device. The application further relates to a non-transient computer readable storage medium. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product.

4. The multi-directional laser ranging based roadway full life cycle deformation monitoring method of claim 3, wherein, The application further relates to a computer program product.

5. The multi-directional laser ranging based roadway full life cycle deformation monitoring method of claim 3, wherein, The distance between the device placement point and the sidewall of the roadway and the distance between the device placement point and the bottom of the roadway measured by the laser probe before and after the deformation of the roadway are specifically as follows: before the deformation of the roadway, the laser probe is used to measure the distance according to a preset angle α The distance between the device placement point and the sidewall of the roadway and the distance between the device placement point and the bottom of the roadway are measured, and after the deformation of the roadway, the laser probe is used to measure the distance according to a preset angle α The distance between the device placement point and the sidewall of the roadway and the distance between the device placement point and the bottom of the roadway are measured.

6. The multi-directional laser ranging based roadway full life cycle deformation monitoring method of claim 5, wherein, The preset angle α Adaptive adjustment can be made, whereby the deformation at different positions of the roadway sidewall is measured and calculated.

7. A computer program product comprising a computer program, characterized in that, The application further relates to a computer program product.

8. A non-transitory computer-readable storage medium, comprising: The application further relates to a computer program product.

9. An electronic device, comprising: The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further relates to a computer program product. The application further

Images