Method for deriving displacement state of sheet pile based on lateral earth pressure monitoring value

Abstract

The application relates to a method for deducing the displacement state of a sheet pile based on lateral earth pressure monitoring values. The method comprises the following steps: grooves are symmetrically arranged at the same interval on the back slope side and the slope side of the sheet pile along the height direction of the sheet pile; the bottom surface of an earth pressure sensor is fixed to the center of the groove, the gap between the grooves is backfilled after the cable of the earth pressure sensor is drawn out; the sheet pile is vertically inserted into the soil body, the cable of the drawn-out earth pressure sensor is connected to a data acquisition instrument, the lateral earth pressure values of the back slope side and the slope side at different heights of the sheet pile are measured at a preset time interval, the lateral earth pressure difference values of the two sides of the sheet pile at different heights are calculated, a lateral earth pressure difference value curve changing with time is drawn, the average value of the time change rate of the lateral earth pressure difference values at different heights in the monitoring period is analyzed, and the displacement state of the sheet pile at different height positions is determined based on the earth pressure state of the soil bodies on the back slope side and the slope side of the sheet pile determined according to the positive and negative of the average value of the time change rate. The method solves the problem of realizing continuous and reliable monitoring.

Description

Technical Field

[0001] This application relates to the field of safety monitoring technology in geotechnical engineering, and in particular to a method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values. Background Technology

[0002] Sheet piles are a common retaining structure widely used in slope protection, riverbank protection, wharf embankments, and underground engineering retaining structures. During the normal operation phase of a project, sheet piles will undergo varying degrees of displacement under lateral earth pressure, including tilting, rotation, and bending. Accurately understanding the displacement state of sheet piles is crucial for assessing structural safety, providing early warning of potential engineering hazards, and guiding reinforcement measures.

[0003] Currently, the displacement state of sheet piles is rarely considered in engineering projects. The main methods used for sheet pile displacement monitoring include the inclinometer method, the total station method, and the distributed fiber optic sensing technology developed in recent years. The inclinometer method requires binding the inclinometer tube to the side of the sheet pile or burying it in the soil on both sides of the sheet pile before construction. An inclinometer probe is used to measure the inclination angle along the tube length point by point, and then the horizontal displacement is obtained by integration. However, the installation of the inclinometer tube has extremely high construction requirements. During the driving of the sheet pile, the inclinometer tube is easily deformed by compression or misaligned at the connection point. Furthermore, the coordinated deformation between the inclinometer tube and the soil depends on the backfill quality; insufficient backfill will lead to distorted monitoring results, making it difficult to accurately reflect the lateral displacement state of the sheet pile itself. The total station method can only periodically measure the displacement of local points on the exposed part of the sheet pile. It cannot measure the section of sheet pile buried in the soil, while the maximum displacement of the sheet pile often occurs at a certain depth below the ground surface. Total station measurements are limited by line-of-sight conditions; the line of sight is easily obstructed in foundation pits or complex construction environments. Furthermore, periodic measurements yield discontinuous data, failing to capture the transient changes and trends in sheet pile displacement in real time. In recent years, distributed fiber optic sensing technologies (such as Brillouin optical time-domain reflectometers or optical frequency-domain reflectometers) have been attempted for sheet pile deformation monitoring. This method involves attaching or embedding optical fibers into the sheet pile surface and calculating the bending deformation of the sheet pile by measuring the axial strain distribution of the fiber and combining this with the curvature-strain relationship from materials mechanics. However, since optical fibers can only sense strain, they do not generate any strain when the sheet pile undergoes pure rigid displacement without bending, making it impossible to monitor the displacement state. Moreover, optical fibers are sensitive to both strain and temperature, requiring complex temperature compensation. As brittle materials, optical fibers are easily damaged by hard particles in the soil or by construction machinery during sheet pile construction; a fiber breakage renders the entire measurement line ineffective. Additionally, fiber optic demodulation instruments are expensive and complex to operate, hindering widespread adoption.

[0004] Therefore, the existing technology lacks a reliable method that can simply, directly, and continuously deduce the actual displacement state of sheet piles from the monitoring data. This deficiency seriously restricts the accuracy of stability evaluation and the effectiveness of disaster prevention in sheet pile support engineering. Summary of the Invention

[0005] Therefore, it is necessary to provide a method, system, electronic device, and computer-readable storage medium for deriving sheet pile displacement state based on lateral earth pressure monitoring values, which can improve the reliability of sheet pile displacement state monitoring and improve the reliability of sheet pile displacement state monitoring.

[0006] A method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values, the method comprising:

[0007] Along the height direction of the sheet pile, at least three grooves of the same depth are symmetrically opened at the same interval on the back slope side and the front slope side of the sheet pile for placing earth pressure sensors.

[0008] The bottom surface of the earth pressure sensor is fixed to the center of the groove using an adhesive, so that the soil-facing surface of the earth pressure sensor is flush with the surface of the sheet pile. After the earth pressure sensor cable is led out, cement mortar is backfilled in the gap between the earth pressure sensor and the groove and leveled with the surface of the sheet pile.

[0009] The sheet pile is vertically inserted into the soil, and the cable of the soil pressure sensor is connected to the data acquisition instrument. The lateral soil pressure values ​​on the back slope side and the front slope side at different heights of the sheet pile are measured at preset time intervals, and the difference in lateral soil pressure on both sides of the sheet pile at each height is calculated.

[0010] Plot the lateral earth pressure difference curves at different heights as a function of time, and analyze the average time rate of change of the lateral earth pressure difference at each height during the monitoring period based on the lateral earth pressure difference curves.

[0011] Based on the sign of the average time change rate, the soil pressure state of the soil on the back slope and the up slope of the sheet pile is determined, and the displacement state of the sheet pile at different height positions is determined.

[0012] In one embodiment, the lateral earth pressure difference Δσ on both sides of the sheet pile at height h was monitored for the i-th time. h,i For: Δσ h,i =σ hB,i -σ hY,i , σ hB,i σ represents the earth pressure value on the back slope of the sheet pile at height h detected for the i-th time. hY,i The value of the soil pressure on the slope of the sheet pile at height h is measured for the i-th time.

[0013] In one embodiment, the average rate of change over time of the lateral earth pressure difference at height h during the monitoring period is... for:

[0014] ;

[0015] in, The value of the difference in lateral earth pressure on both sides of the sheet pile at height h is the value detected for the (i+1)th time. For the i-th monitoring of the difference in lateral earth pressure on both sides of the sheet pile at height h, For the (i+1)th monitoring time point, Let i be the time point of the i-th monitoring. This represents the total number of monitoring sessions during the monitoring period.

[0016] In one embodiment, when the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the front slope side of the sheet pile is as follows: the soil on the back slope side is in a passive soil pressure state, and the soil on the front slope side is in an active soil pressure state.

[0017] When the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the front slope side of the sheet pile is as follows: the soil on the back slope side and the soil on the front slope side are in a static soil pressure state.

[0018] When the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the up slope side of the sheet pile is as follows: the soil on the back slope side is in an active soil pressure state, and the soil on the up slope side is in a passive soil pressure state.

[0019] In one embodiment, when the soil on the back slope is under passive earth pressure and the soil on the up slope is under active earth pressure, the sheet pile moves toward the back slope.

[0020] When the soil on the back slope and the soil on the up slope are in a state of static earth pressure, the sheet pile remains stationary and does not move.

[0021] When the soil on the back slope is under active earth pressure and the soil on the up slope is under passive earth pressure, the sheet pile moves towards the up slope.

[0022] In one embodiment, the method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​further includes:

[0023] The location of the sheet pile after displacement at each height is determined based on the average time rate of change of the lateral earth pressure difference at each height.

[0024] The positions of the sheet piles after displacement are sequentially connected along the height direction of the sheet piles. The discrete displacement points at each height are fitted using the spline difference curve fitting method to obtain a continuous and smooth overall displacement state curve of the sheet piles.

[0025] In one embodiment, determining the position of the sheet pile after displacement at each height based on the average time rate of change of the lateral earth pressure difference at each height includes:

[0026] With the bottom of the sheet pile as the origin, each height h corresponds to a height coordinate y. h Multiplying the average rate of change of the lateral earth pressure difference at height h over time by a preset displacement amplitude coefficient yields the horizontal displacement coordinate x at height h. h That is, the position of the sheet pile at height h after displacement is (x h y h ).

[0027] A system for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values, the system comprising: an earth pressure sensor and a data acquisition instrument;

[0028] Along the height direction of the sheet pile, at least three grooves of the same depth are symmetrically opened at the same interval on the back slope side and the front slope side of the sheet pile for placing earth pressure sensors.

[0029] The bottom surface of the earth pressure sensor is fixed to the center of the groove using an adhesive, so that the soil-facing surface of the earth pressure sensor is flush with the surface of the sheet pile. After the earth pressure sensor cable is led out, cement mortar is backfilled in the gap between the earth pressure sensor and the groove and leveled with the surface of the sheet pile.

[0030] The sheet pile is vertically inserted into the soil, and the cable of the soil pressure sensor is connected to the data acquisition instrument.

[0031] The data acquisition instrument measures the lateral earth pressure values ​​on the back slope side and the front slope side at different heights of the sheet pile at preset time intervals, and calculates the difference in lateral earth pressure between the two sides of the sheet pile at each height.

[0032] The data acquisition instrument plots a curve showing the change of lateral earth pressure difference at different heights over time based on the lateral earth pressure value measured by the data acquisition instrument. The average time change rate of the lateral earth pressure difference at each height during the monitoring period is analyzed based on the lateral earth pressure difference curve.

[0033] The data acquisition instrument determines the soil pressure state of the soil on the back slope and the up slope side of the sheet pile based on the sign of the average value of the time change rate, and determines the displacement state of the sheet pile at different height positions.

[0034] An electronic device includes a memory, a processor, and a computer program stored in the memory and executable on the processor, wherein the processor executes the computer program to implement the method described above.

[0035] A computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the above-described method.

[0036] The method described above for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​involves symmetrically creating at least three grooves of equal depth at equal intervals on both the back slope and front slope sides of the sheet pile along its height direction to accommodate earth pressure sensors. The bottom surface of the earth pressure sensor is fixed to the center of the groove using adhesive, ensuring the front surface of the earth pressure sensor is flush with the surface of the sheet pile. After leading out the earth pressure sensor cable, cement mortar is backfilled into the gap between the earth pressure sensor and the groove, leveling the surface with the earth pressure sensor. The sheet pile is then vertically inserted into the soil, and the extended earth pressure sensor cable is connected to the groove. The force sensor cable is connected to a data acquisition instrument to measure the lateral earth pressure values ​​on the back slope and up slope sides of the sheet pile at preset time intervals. The difference in lateral earth pressure between the two sides of the sheet pile at each height is calculated. A curve showing the change of the lateral earth pressure difference over time at different heights is plotted. The average time rate of change of the lateral earth pressure difference at each height during the monitoring period is analyzed based on the curve. The earth pressure state of the soil on the back slope and up slope sides of the sheet pile is determined based on the sign of the average time rate of change, thus determining the displacement state of the sheet pile at different heights. This method solves the problems commonly encountered in traditional monitoring methods for determining the displacement state of sheet piles, such as easy sensor damage during construction, the inability to measure only discrete points above the ground surface or reliance on strain back calculations without sensing the overall rigid displacement of the sheet pile, and the difficulty in achieving continuous and reliable monitoring due to environmental constraints. Attached Figure Description

[0037] Figure 1 This is a flowchart illustrating a method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​in one embodiment.

[0038] Figure 2 This is a schematic diagram of a sheet pile inserted into the soil in one embodiment;

[0039] Figure 3 The curves showing the lateral earth pressure values ​​over time on the back slope side and the up slope side of sheet pile #1 in one embodiment are shown.

[0040] Figure 4 This is a curve showing the difference in lateral earth pressure between the back slope side and the up slope side of sheet pile #1 over time, as shown in one embodiment.

[0041] Figure 5 The curves showing the lateral earth pressure values ​​over time on the back slope side and the up slope side of sheet pile #2 in one embodiment are shown.

[0042] Figure 6 The curve of the difference in lateral earth pressure between the back slope side and the up slope side of sheet pile #2 in one embodiment is shown as a function of time.

[0043] Figure 7 This is the displacement state curve of sheet pile #1 in one embodiment;

[0044] Figure 8 This is the displacement state curve of sheet pile #2 in one embodiment. Detailed Implementation

[0045] To make the objectives, technical solutions, and advantages of this application clearer, the following detailed description is provided in conjunction with the accompanying drawings and embodiments. It should be understood that the specific embodiments described herein are merely illustrative and not intended to limit the scope of this application.

[0046] In one embodiment, such as Figure 1 As shown, a method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​is provided, including the following steps:

[0047] Step S220: Along the height direction of the sheet pile, at least three grooves of the same depth are symmetrically opened at the same interval on the back slope side and the front slope side of the sheet pile for placing the soil pressure sensor.

[0048] The shape of the groove can be such that the earth pressure sensor can be completely placed inside the groove, such as square or round.

[0049] In one example, along the height of the sheet pile, 3 to 5 square grooves of the same depth are symmetrically cut at equal intervals on both the back slope and the up slope side of the sheet pile using a mechanical cutting method. The positions of the grooves on both sides completely overlap in the horizontal projection. The groove depth is consistent with the thickness of the earth pressure sensor, and the side length of the groove is at least 5 cm to 7 cm greater than the diameter of the earth pressure sensor. The bottom of the groove is kept horizontal.

[0050] In step S240, the bottom surface of the earth pressure sensor is fixed to the center of the groove using adhesive, so that the soil-facing surface of the earth pressure sensor is flush with the surface of the sheet pile. After the earth pressure sensor cable is led out, cement mortar is backfilled in the gap between the earth pressure sensor and the groove and leveled with the surface of the sheet pile.

[0051] Taking a square groove as an example, the bottom surface of the earth pressure sensor is fixed to the center of the square groove with adhesive to ensure that the soil-facing surface of the earth pressure sensor is flush with the surface of the sheet pile. After the earth pressure sensor cable is led out, cement mortar is backfilled in the gap between the earth pressure sensor and the groove and leveled with the surface of the sheet pile.

[0052] In one example, after uniformly applying epoxy resin adhesive to the entire bottom surface of the earth pressure sensor, it is placed in the center of the groove, aligning the sensor's axis with the groove's centerline. A uniform and stable preload is applied to the earth pressure sensor to ensure full contact and adhesion between its bottom surface and the groove's bottom surface. A spirit level or reference plate is used to check whether the earth pressure sensor's soil-facing surface is flush with the sheet pile surface. The earth pressure sensor's cable is led out along the sidewall of the square groove to the outside of the groove, and a flexible sheath is added to protect the cable at the contact point with the groove's sidewall. The gap between the earth pressure sensor and the square groove is backfilled with prepared cement mortar. After filling, excess mortar is scraped off along the sheet pile surface with a scraper, making the mortar surface flush with the sheet pile surface. Finally, a smooth putty is used to finish the backfilled area, making the surface smooth and even.

[0053] Step S260: Insert the sheet pile vertically into the soil and connect the cable of the soil pressure sensor to the data acquisition instrument. Measure the lateral soil pressure values ​​on the back slope and front slope at different heights of the sheet pile at preset time intervals, and calculate the difference in lateral soil pressure between the two sides of the sheet pile at each height.

[0054] Among them, such as Figure 2 As shown, the sheet pile wall, as a retaining structure, resists the lateral thrust of the embankment soil on its uphill side, while transferring the force and anchoring it in the subgrade soil on its downhill side. The lateral stability of the entire system is maintained by the passive resistance of the subgrade soil. For example... Figure 2 As shown, after the sheet piles are vertically inserted into the sheet pile wall of the subgrade soil to the designed depth, the cables of the soil pressure sensors are connected to a data acquisition instrument. At preset time intervals, the output values ​​(i.e., lateral soil pressure values) of the soil pressure sensors on the back slope and front slope sides at different heights of the sheet pile are automatically collected. For each sheet pile at a given height, the soil pressure value on the back slope side collected at the same time is subtracted from the soil pressure value on the front slope side to obtain the difference in lateral soil pressure on both sides of the sheet pile at that height.

[0055] In one embodiment, the difference in lateral earth pressure Δσ across the sheet pile at height h is monitored for the i-th time. h,i For: Δσ h,i =σ hB,i -σ hY,i , σ hB,i σ represents the earth pressure value on the back slope of the sheet pile at height h detected for the i-th time. hY,i Let be the soil pressure value on the uphill side of the sheet pile at height h during the i-th monitoring.

[0056] Step S280: Plot the lateral earth pressure difference curves at different heights as a function of time, and analyze the average time rate of change of the lateral earth pressure difference at each height during the monitoring period based on the lateral earth pressure difference curves.

[0057] In this process, the lateral earth pressure difference curve of the sheet pile lateral earth pressure difference over time was plotted in Origin software, and the average time change rate of the lateral earth pressure difference at each height during the monitoring period was calculated based on the lateral earth pressure difference curve.

[0058] In one embodiment, the average rate of change over time of the lateral earth pressure difference at height h during the monitoring period is... for:

[0059] ;

[0060] in, The difference in lateral earth pressure on both sides of the sheet pile at height h is measured for the (i+1)th time. For the i-th monitoring of the difference in lateral earth pressure on both sides of the sheet pile at height h, For the (i+1)th monitoring time point, Let i be the time point of the i-th monitoring. This represents the total number of monitoring sessions during the monitoring period.

[0061] Step S300: Based on the sign of the average time rate of change, determine the soil pressure state of the soil on the back slope and the up slope of the sheet pile, and determine the displacement state of the sheet pile at different height positions.

[0062] In one embodiment, when the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the front slope side of the sheet pile is as follows: the soil on the back slope side is in a passive soil pressure state, and the soil on the front slope side is in an active soil pressure state.

[0063] When the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the front slope side of the sheet pile is: the soil on the back slope side and the soil on the front slope side are in a static soil pressure state.

[0064] When the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the up slope side of the sheet pile is as follows: the soil on the back slope side is in an active soil pressure state, and the soil on the up slope side is in a passive soil pressure state.

[0065] In one embodiment, when the soil on the back slope is under passive earth pressure and the soil on the up slope is under active earth pressure, the sheet pile moves toward the back slope.

[0066] When the soil on the back slope and the soil on the up slope are in a state of static earth pressure, the sheet pile remains stationary and does not move.

[0067] When the soil on the back slope is under active earth pressure and the soil on the up slope is under passive earth pressure, the sheet pile moves towards the up slope.

[0068] The method described above for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​involves symmetrically creating at least three grooves of equal depth along the height of the sheet pile on both the back and front slope sides for placing earth pressure sensors. The bottom surface of the earth pressure sensor is fixed to the center of the groove using adhesive, ensuring the front surface of the sensor is flush with the surface of the sheet pile. After extending the earth pressure sensor cable, cement mortar is backfilled into the gap between the sensor and the groove, leveling the gap with the sheet pile surface. The sheet pile is then vertically inserted into the soil, and the extended earth pressure sensor is... The cable is connected to a data acquisition instrument to measure the lateral earth pressure values ​​on the back slope and up slope sides of the sheet pile at preset time intervals, and calculate the difference in lateral earth pressure between the two sides of the sheet pile at each height. Lateral earth pressure difference curves are plotted to show the change of lateral earth pressure difference over time at different heights. The average time rate of change of the lateral earth pressure difference at each height during the monitoring period is analyzed based on these curves. The earth pressure state of the soil on the back slope and up slope sides of the sheet pile is determined based on the sign of the average time rate of change, thus determining the displacement state of the sheet pile at different heights. This method solves the common problems of traditional monitoring methods for determining sheet pile displacement state, such as sensor damage during construction, the inability to measure only discrete points above the ground surface or reliance on strain back calculations to sense the overall rigid displacement of the sheet pile, and the difficulty in achieving continuous and reliable monitoring due to environmental constraints.

[0069] In one embodiment, the method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​further includes:

[0070] The location of the sheet pile after displacement at each height is determined based on the average time rate of change of the lateral earth pressure difference at each height.

[0071] The positions of the sheet piles after displacement are connected sequentially along the height direction. The discrete displacement points at each height are fitted using the spline difference curve fitting method to obtain a continuous and smooth overall displacement state curve of the sheet pile.

[0072] In one embodiment, determining the location of the sheet pile after displacement at each height based on the average time rate of change of the lateral earth pressure difference at each height includes:

[0073] With the bottom of the sheet pile as the origin, each height h corresponds to a height coordinate y. h Multiplying the average rate of change of the lateral earth pressure difference at height h over time by a preset displacement amplitude coefficient yields the horizontal displacement coordinate x at height h. h That is, the position of the sheet pile at height h after displacement is (xh y h ).

[0074] The aforementioned method for deriving sheet pile displacement state based on lateral earth pressure monitoring values ​​directly utilizes the difference in lateral earth pressure measured by earth pressure sensors symmetrically embedded on both sides of the sheet pile and its rate of change over time to determine the sheet pile displacement state. It no longer relies on displacement values ​​derived from other monitoring quantities, significantly improving the reliability of the monitoring results. Without the need for complex mechanical constitutive models or large-accumulation integral calculations, the direction of sheet pile displacement can be determined in real time simply by the sign and rate of change of the lateral earth pressure difference. The calculation is simple, the response is rapid, and it facilitates quick on-site assessment of sheet pile stability. Earth pressure sensors are significantly cheaper than other monitoring equipment, and their construction process is simple, making them suitable for widespread application in conventional engineering projects. The method proposed in this application can continuously monitor the sheet pile displacement state over time, track the spatial development trend of sheet pile displacement in real time, and more accurately reflect the sheet pile displacement state. This method, combined with practical engineering conditions, is simple to operate, low in cost, and can effectively and accurately reflect the sheet pile displacement state by monitoring the development trend of lateral earth pressure in real time.

[0075] Furthermore, based on the average time-varying rate of change of the lateral earth pressure difference at each height, the position of the sheet pile after displacement at each height is determined. By sequentially connecting the positions of the sheet piles after displacement along the height direction, the discrete displacement points at each height are fitted using the spline difference curve fitting method to obtain a continuous and smooth overall displacement state curve of the sheet pile, which can more clearly and intuitively reflect the overall displacement state of the sheet pile. It has advantages such as simple installation and operation, convenient data processing, and high accuracy. It can effectively and accurately capture various complex sheet pile displacement states by combining the actual development trend of earth pressure on both sides of the sheet pile.

[0076] The following detailed description, in conjunction with the accompanying drawings, illustrates a specific implementation scheme for a method of deriving sheet pile displacement state based on lateral earth pressure monitoring values, as described in this application. The specific implementation examples described herein are for illustrative purposes only and are not intended to limit the scope of this application.

[0077] Example 1:

[0078] Two sheet piles were selected as monitoring targets. Along the height of the sheet piles, five square grooves were made on each side of sheet pile #1 at 0.9m intervals, and three square grooves were made on each side of sheet pile #2 at 1.8m intervals. The bottom surface of the earth pressure sensor was fixed to the center of one of the square grooves on one side of the sheet pile using epoxy resin adhesive, ensuring that the soil-facing surface of the earth pressure sensor was flush with the sheet pile surface. The earth pressure sensor cable was fixed along the height of the sheet pile and led out from the top of the pile. Cement mortar was backfilled into the gap between the earth pressure sensor and the groove, and leveled with the sheet pile surface. After the cement mortar solidified, a smooth putty was used for finishing. Then, the sheet pile was flipped to the other side, and the above steps were repeated to install the earth pressure sensors. After all earth pressure sensors on the sheet pile surface were installed, the sheet pile was vertically inserted into the soil to the designed depth.

[0079] The soil pressure sensor cable is connected to the data acquisition instrument. Lateral soil pressure data (including at least the acquisition time and lateral soil pressure value) at different heights of the sheet piles are acquired at a 1-day sampling interval on the back and front slope sides. The difference in lateral soil pressure between the back and front slope sides is calculated, establishing the relationship between the difference in lateral soil pressure along the height direction and time. The sign of the average time-varying rate of change of the lateral soil pressure difference at different heights during the monitoring period is comprehensively analyzed to determine the soil pressure state of the soil on the back and front slope sides of the sheet piles, and to deduce the displacement state of the sheet piles at different heights. The positions of the sheet piles after displacement at each height are connected sequentially to obtain the overall displacement state curve of the sheet piles during the monitoring period.

[0080] Example 2:

[0081] The following section uses specific engineering examples to further illustrate the method of deriving the displacement state of sheet piles based on monitored lateral earth pressure values.

[0082] In this embodiment, the monitoring object is the sheet piles supporting the toe of the river slope. The lateral earth pressure value monitored during the dry season (July 11, 2025) is used as the initial value. Curves showing the changes in lateral earth pressure values ​​and the difference in lateral earth pressure between the back and front slope sides of sheet piles #1 and #2 at different heights are plotted in Origin software over time. Figures 3-6 As shown.

[0083] According to the formula Calculate the average rate of change of the lateral earth pressure difference of sheet piles at different heights over time. The specific values ​​are listed below Figure 4 , Figure 6 For sheet pile #1, at h=4.6m... The value is much less than 0, indicating that the soil on the back slope is under active earth pressure while the soil on the up slope is under passive earth pressure, resulting in a large displacement of the sheet pile towards the up slope; at h=3.7m. Slightly greater than 0, the soil on the back slope is under passive earth pressure while the soil on the up slope is under active earth pressure, causing a slight displacement of the sheet pile towards the back slope; at h=2.8m. When the value is less than 0, the soil on the back slope is under active earth pressure while the soil on the up slope is under passive earth pressure, causing the sheet pile to displace towards the up slope; at h=1.9m. Slightly greater than 0, the soil on the back slope is under passive earth pressure while the soil on the up slope is under active earth pressure, causing a slight displacement of the sheet pile towards the back slope; at h=1.0m. A value greater than 0 indicates that the soil on the back slope is under passive earth pressure while the soil on the up slope is under active earth pressure, causing the sheet pile to displace towards the back slope. For sheet pile #2, at h=4.6m... When the value is less than 0, the soil on the back slope is under active earth pressure while the soil on the up slope is under passive earth pressure, causing the sheet pile to displace towards the up slope; at h=2.8m. The value is much less than 0, indicating that the soil on the back slope is under active earth pressure while the soil on the up slope is under passive earth pressure, resulting in a large displacement of the sheet pile towards the up slope; at h=1.0m. The pressure is almost zero, and the soil on the back slope and the front slope are in a state of static earth pressure, so the sheet piles do not displace.

[0084] With the bottom of the sheet pile as the origin, each height position corresponds to a height coordinate y. h ,right Multiplying by the preset displacement amplitude coefficient k = 2mm / (kPa / d) yields the horizontal displacement coordinate x at that height. h The cubic spline interpolation method in Origin software was used to determine the interval [(x] of the sheet pile position after displacement at each adjacent height. h ,y h ), (x h+1 ,y h+1 To construct a smooth curve, perform fitting:

[0085] ;

[0086] Among them, (x h ,y h (x) represents the position of the sheet pile at height h after displacement. h+1 ,y h+1 Let (x, y) be the position of the next sheet pile at height h after displacement, and (x, y) be the position of the discrete displacement point on the sheet pile between height h and the next sheet pile at height h. The left endpoint of the interval is the reference. The rate of change of curvature within this segment is determined by the condition at the right endpoint. This is the displacement value of the left end point of this segment. The slope (rate of change of displacement, i.e., rotation angle) of the left end point of this segment. The curvature of the left endpoint of the segment (half of the curvature).

[0087] To solve for the coefficients of all intervals, the following condition must be satisfied: 1) S h (x h )=y h And S h (x h+1 )=y h+1 1) The curve passes through all known data points; 2) At each data point, the first derivative is continuous at point S'. h (x h+1 )=S' h+1 (x h+1 The second derivative is continuous S'' h (x h+1 )=S'' h+1 (x h+1 The expressions for the curves in each interval are obtained through calculation and solution, where S h (x) is [(x) h ,y h ), (x h+1 ,y h+1 Mathematical model of a smooth curve in the interval S h+1 (x) is [(x) h+1 ,y h+1 ), (x h+2 ,y h+2 Mathematical model of a smooth curve in the interval S' h (x h+1 ) is S h (x h+1 The first derivative of S' h+1 (x h+1 ) is S h+1 (x h+1 The first derivative of S'' h (x h+1 ) is S h (x h+1 The second derivative of ), S'' h+1 (x h+1 ) is S h+1 (x h+1 The second derivative of ).

[0088] By combining the curve expressions of each interval, a smooth overall displacement state curve of the sheet pile is obtained, such as... Figure 7 , Figure 8The initial positions and displacement states of the sheet piles are shown. Under the action of the soil on both sides, both sheet piles #1 and #2 underwent displacement to varying degrees. This indicates that the method of deriving the displacement state of sheet piles based on lateral earth pressure monitoring data is reasonable. Furthermore, this method determines the displacement state by directly sensing the actual lateral earth pressure change trends on both sides of the sheet pile, making it more practical for engineering applications compared to other methods.

[0089] It should be understood that, although Figure 1 The steps in the flowchart are shown sequentially as indicated by the arrows, but these steps are not necessarily executed in the order indicated by the arrows. Unless otherwise specified herein, there is no strict order in which these steps are executed, and they can be performed in other orders. Figure 1 At least some of the steps in the process may include multiple sub-steps or multiple stages. These sub-steps or stages are not necessarily completed at the same time, but can be executed at different times. The execution order of these sub-steps or stages is not necessarily sequential, but can be executed in turn or alternately with other steps or at least some of the sub-steps or stages of other steps.

[0090] In one embodiment, a system for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​includes: an earth pressure sensor and a data acquisition instrument.

[0091] Along the height of the sheet pile, at least three grooves of the same depth are symmetrically opened at the same intervals on the back slope side and the front slope side of the sheet pile for placing earth pressure sensors.

[0092] The bottom surface of the earth pressure sensor is fixed to the center of the groove using an adhesive, so that the soil-facing surface of the earth pressure sensor is flush with the surface of the sheet pile. After the earth pressure sensor cable is led out, cement mortar is backfilled in the gap between the earth pressure sensor and the groove and leveled with the surface of the sheet pile.

[0093] Insert the sheet pile vertically into the soil and connect the cable of the soil pressure sensor to the data acquisition instrument.

[0094] The data acquisition instrument measures the lateral earth pressure values ​​on the back slope and front slope sides of the sheet pile at different heights at preset time intervals, and calculates the difference in lateral earth pressure between the two sides of the sheet pile at each height.

[0095] Based on the lateral earth pressure values ​​measured by the data acquisition instrument, the lateral earth pressure difference curve at different heights is plotted as a function of time. The average time rate of change of the lateral earth pressure difference at each height during the monitoring period is analyzed based on the lateral earth pressure difference curve.

[0096] The data acquisition instrument determines the soil pressure state of the soil on the back slope and up slope of the sheet pile based on the sign of the average time rate of change, and determines the displacement state of the sheet pile at different height positions.

[0097] Systems for deriving sheet pile displacement states based on lateral earth pressure monitoring values ​​also include:

[0098] The data acquisition instrument determines the position of the sheet pile after displacement at each height based on the average time rate of change of the lateral earth pressure difference at each height. The positions of the sheet pile after displacement at each height are connected sequentially along the height direction of the sheet pile. The discrete displacement points at each height are fitted using the spline difference curve fitting method to obtain a continuous and smooth overall displacement state curve of the sheet pile.

[0099] The system described above, which derives the displacement state of sheet piles based on lateral earth pressure monitoring values, involves symmetrically creating at least three grooves of equal depth along the height of the sheet pile on both the back and front slope sides for placing earth pressure sensors. The bottom surface of the earth pressure sensor is fixed to the center of the groove using adhesive, ensuring the front surface of the sensor is flush with the surface of the sheet pile. After leading out the earth pressure sensor cable, cement mortar is backfilled into the gap between the earth pressure sensor and the groove, leveling it with the surface of the sheet pile. The sheet pile is then vertically inserted into the soil, and the extended earth pressure sensor... The cable is connected to a data acquisition instrument to measure the lateral earth pressure values ​​on the back slope and up slope sides of the sheet pile at preset time intervals, and calculate the difference in lateral earth pressure between the two sides of the sheet pile at each height. Lateral earth pressure difference curves are plotted to show the change of lateral earth pressure difference over time at different heights. The average time rate of change of the lateral earth pressure difference at each height during the monitoring period is analyzed based on these curves. The earth pressure state of the soil on the back slope and up slope sides of the sheet pile is determined based on the sign of the average time rate of change, thus determining the displacement state of the sheet pile at different heights. This method solves the common problems of traditional monitoring methods for determining sheet pile displacement state, such as sensor damage during construction, the inability to measure only discrete points above the ground surface or reliance on strain back calculations to sense the overall rigid displacement of the sheet pile, and the difficulty in achieving continuous and reliable monitoring due to environmental constraints.

[0100] For specific limitations on the system for deriving sheet pile displacement state based on lateral earth pressure monitoring values, please refer to the limitations on the method for deriving sheet pile displacement state based on lateral earth pressure monitoring values ​​mentioned above, which will not be repeated here.

[0101] An electronic device includes a memory, a processor, and a computer program stored in the memory and executable on the processor. When the processor executes the computer program, it implements the above-described method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values.

[0102] A computer-readable storage medium having a computer program stored thereon, which, when executed by a processor, implements the above-described method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values.

[0103] Those skilled in the art will understand that all or part of the processes in the methods of the above embodiments can be implemented by a computer program instructing related hardware. The computer program can be stored in a non-volatile computer-readable storage medium. When executed, the computer program can include the processes of the embodiments of the above methods. Any references to memory, storage, databases, or other media used in the embodiments provided in this application can include non-volatile and / or volatile memory. Non-volatile memory may include read-only memory (ROM), programmable ROM (PROM), electrically programmable ROM (EPROM), electrically erasable programmable ROM (EEPROM), or flash memory. Volatile memory may include random access memory (RAM) or external cache memory. By way of illustration and not limitation, RAM is available in a variety of forms, such as static RAM (SRAM), dynamic RAM (DRAM), synchronous DRAM (SDRAM), dual data rate SDRAM (DDRSDRAM), enhanced SDRAM (ESDRAM), synchronous link DRAM (SLDRAM), RAMbus direct RAM (RDRAM), direct memory bus dynamic RAM (DRDRAM), and memory bus dynamic RAM (RDRAM), etc.

[0104] The technical features of the above embodiments can be combined in any way. For the sake of brevity, not all possible combinations of the technical features in the above embodiments are described. However, as long as there is no contradiction in the combination of these technical features, they should be considered to be within the scope of this specification.

[0105] The embodiments described above are merely illustrative of several implementation methods of this application, and while the descriptions are relatively specific and detailed, they should not be construed as limiting the scope of the invention patent. It should be noted that those skilled in the art can make various modifications and improvements without departing from the concept of this application, and these all fall within the protection scope of this application. Therefore, the protection scope of this patent application should be determined by the appended claims.

Claims

1. A method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values, characterized in that, The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​includes: Along the height direction of the sheet pile, at least three grooves of the same depth are symmetrically opened at the same interval on the back slope side and the front slope side of the sheet pile for placing earth pressure sensors. The bottom surface of the earth pressure sensor is fixed to the center of the groove using an adhesive, so that the soil-facing surface of the earth pressure sensor is flush with the surface of the sheet pile. After the earth pressure sensor cable is led out, cement mortar is backfilled in the gap between the earth pressure sensor and the groove and leveled with the surface of the sheet pile. The sheet pile is vertically inserted into the soil, and the cable of the soil pressure sensor is connected to the data acquisition instrument. The lateral soil pressure values ​​on the back slope side and the front slope side at different heights of the sheet pile are measured at preset time intervals, and the difference in lateral soil pressure on both sides of the sheet pile at each height is calculated. Plot the lateral earth pressure difference curves at different heights as a function of time, and analyze the average time rate of change of the lateral earth pressure difference at each height during the monitoring period based on the lateral earth pressure difference curves. Based on the sign of the average time change rate, the soil pressure state of the soil on the back slope and the up slope of the sheet pile is determined, and the displacement state of the sheet pile at different height positions is determined.

2. The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​according to claim 1, characterized in that, The lateral earth pressure difference Δσ on both sides of the sheet pile at height h was monitored for the i-th time. h,i For: Δσ h,i =σ hB,i -σ hY,i , σ hB,i σ represents the earth pressure value on the back slope of the sheet pile at height h detected for the i-th time. hY,i The value of the soil pressure on the slope of the sheet pile at height h is measured for the i-th time.

3. The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​according to claim 2, characterized in that, The average rate of change of the lateral earth pressure difference at height h during the monitoring period. for: ； in, The value of the difference in lateral earth pressure on both sides of the sheet pile at height h is the value detected for the (i+1)th time. For the i-th monitoring of the difference in lateral earth pressure on both sides of the sheet pile at height h, For the (i+1)th monitoring time point, Let i be the time point of the i-th monitoring. This represents the total number of monitoring sessions during the monitoring period.

4. The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​according to claim 3, characterized in that, When the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the front slope side of the sheet pile is as follows: the soil on the back slope side is in a passive soil pressure state, and the soil on the front slope side is in an active soil pressure state. When the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the front slope side of the sheet pile is as follows: the soil on the back slope side and the soil on the front slope side are in a static soil pressure state. When the average rate of change over time is At that time, the soil pressure state of the soil on the back slope side and the up slope side of the sheet pile is as follows: the soil on the back slope side is in an active soil pressure state, and the soil on the up slope side is in a passive soil pressure state.

5. The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​according to claim 4, characterized in that, When the soil on the back slope is under passive earth pressure and the soil on the up slope is under active earth pressure, the sheet pile moves towards the back slope. When the soil on the back slope and the soil on the up slope are in a state of static earth pressure, the sheet pile remains stationary and does not move. When the soil on the back slope is under active earth pressure and the soil on the up slope is under passive earth pressure, the sheet pile moves towards the up slope.

6. The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​according to claim 1, characterized in that, The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​also includes: The location of the sheet pile after displacement at each height is determined based on the average time rate of change of the lateral earth pressure difference at each height. The positions of the sheet piles after displacement are sequentially connected along the height direction of the sheet piles. The discrete displacement points at each height are fitted using the spline difference curve fitting method to obtain a continuous and smooth overall displacement state curve of the sheet piles.

7. The method for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​according to claim 6, characterized in that, The method of determining the position of the sheet pile after displacement at each height based on the average time rate of change of the lateral earth pressure difference at each height includes: With the bottom of the sheet pile as the origin, each height h corresponds to a height coordinate y. h Multiplying the average rate of change of the lateral earth pressure difference at height h over time by a preset displacement amplitude coefficient yields the horizontal displacement coordinate x at height h. h That is, the position of the sheet pile at height h after displacement is (x h y h ).

8. A system for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values, characterized in that, The system for deriving the displacement state of sheet piles based on lateral earth pressure monitoring values ​​includes: an earth pressure sensor and a data acquisition instrument; Along the height direction of the sheet pile, at least three grooves of the same depth are symmetrically opened at the same interval on the back slope side and the front slope side of the sheet pile for placing earth pressure sensors. The bottom surface of the earth pressure sensor is fixed to the center of the groove using an adhesive, so that the soil-facing surface of the earth pressure sensor is flush with the surface of the sheet pile. After the earth pressure sensor cable is led out, cement mortar is backfilled in the gap between the earth pressure sensor and the groove and leveled with the surface of the sheet pile. The sheet pile is vertically inserted into the soil, and the cable of the soil pressure sensor is connected to the data acquisition instrument. The data acquisition instrument measures the lateral earth pressure values ​​on the back slope side and the front slope side at different heights of the sheet pile at preset time intervals, and calculates the difference in lateral earth pressure between the two sides of the sheet pile at each height. The data acquisition instrument plots a curve showing the change of lateral earth pressure difference at different heights over time based on the lateral earth pressure value measured by the data acquisition instrument. The average time change rate of the lateral earth pressure difference at each height during the monitoring period is analyzed based on the lateral earth pressure difference curve. The data acquisition instrument determines the soil pressure state of the soil on the back slope and the up slope side of the sheet pile based on the sign of the average value of the time change rate, and determines the displacement state of the sheet pile at different height positions.

9. An electronic device comprising a memory, a processor, and a computer program stored in the memory and executable on the processor, characterized in that, When the processor executes the computer program, it implements the method as described in any one of claims 1 to 7.

10. A computer-readable storage medium having a computer program stored thereon, characterized in that, When the computer program is executed by a processor, it implements the method as described in any one of claims 1 to 7.

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