CN114065504A - Method for analyzing stability of seabed slope after earthquake based on in-situ monitoring - Google Patents
Method for analyzing stability of seabed slope after earthquake based on in-situ monitoring Download PDFInfo
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Abstract
The invention provides a method for evaluating the stability of a landslide of an earthquake-caused seabed slope based on in-situ monitoring. By using the method, the potential slip band strength reduction of the submarine slope can be calculated by reversing the seismic action and the submarine slope seismic response process according to the displacement monitoring result under the condition that only a small amount of displacement in-situ monitoring equipment is required to be arranged, and the submarine slope stability after the seismic action can be judged by combining the shear band expansion theory.
Description
Technical Field
The invention relates to the field of a submarine slope stability evaluation method, in particular to a submarine slope stability evaluation method based on in-situ monitoring under the earthquake action.
Background
The earthquake is an important factor for triggering the landslide of the sea bottom, the landslide of the sea bottom seriously threatens the safety of ocean engineering facilities such as submarine cables, ocean platforms, offshore wind power and the like, and the tsunami caused by the released huge energy can cause immeasurable life and property loss to coastal residents. Shear deformation and excessive pore water pressure accumulation are generated on the seabed slope due to earthquake load, and the shear strength of slope sediment is reduced after earthquake, so that the integral instability of the seabed slope is caused.
The in-situ monitoring of the deformation of the submarine slope is the most direct means for obtaining the sliding quantity of the submarine slope under the action of an earthquake and is also an important basis for evaluating the stability of the submarine slope after the earthquake. At present, deformation in-situ monitoring is used for stability evaluation after a submarine slope earthquake, and two problems exist. Firstly, because the submarine slope is large in scale, and the submarine displacement in-situ monitoring equipment is high in price, the arrangement method is complex, and like a land slope, the large-scale arrangement of the monitoring equipment along the slope is impractical; and secondly, a related theory is lacked to guide a monitoring result, and whether the seabed landslide is unstable after the earthquake action is judged.
The stability evaluation method based on the in-situ monitoring under the earthquake action of the submarine slope is provided for overcoming the defects in the prior art, under the condition that only a small amount of displacement in-situ monitoring equipment needs to be arranged, the stability of the submarine slope after the earthquake action can be judged according to the displacement monitoring result and the shear band expansion theory, and the method is both theoretical and accurate and feasible.
Disclosure of Invention
In order to make up for the defects of the prior art, the invention provides a method for analyzing the stability of a seabed slope after earthquake based on in-situ monitoring.
The invention is realized by the following technical scheme: a method for analyzing stability of a seabed slope after earthquake based on in-situ monitoring specifically comprises the following steps:
s1: carrying out on-site geological survey on a submarine slope to be monitored, acquiring topographic and geomorphic data of the slope, identifying a potential sliding surface, determining a region to be monitored, and setting a monitoring profile;
s2: arranging displacement in-situ monitoring devices with a data real-time transmission function on potential sliding surfaces at two ends of a monitoring section;
s3: establishing a slope geometric model according to the landform data;
s4: acquiring basic physical and mechanical indexes of a sliding body;
s5: constructing a submarine slope earthquake power response kinematics control equation of a calculation task;
s6: discretizing the control equation constructed in the step S5 by using a finite difference method to obtain a discretization format of the submarine slope seismic power response kinematics control equation;
S7: selecting a proper model to describe the shear band soil dynamics constitutive relation, and acquiring the model parameters;
s8: deducing the seabed slant by considering the actual situation of uneven reduction of the intensity of the slip zone soil after the earthquake actionCritical initial shear band length for slope instabilityA value calculation formula;
s9: the seismic acceleration time-course curve data and the in-situ monitoring point displacement time-course data are transmitted to a ground receiving center in real time, and the data are converted into a txt format;
s10: taking the displacement time-course data of the in-situ monitoring points as boundary conditions, compiling a program by using MATLAB software, inputting calculation parameter values, reading seismic time-course data, and calculating the seismic power response of the submarine slope;
s11: calculating the initial shear stress ratio distribution of the slope sliding beltCalculating the initial shear stress ratio distribution of the slope sliding beltAccording to the following formula:
s12: predicting the intensity reduction coefficient distribution of the slip zone soil after earthquake action;
S13: calculating the shear stress ratio distribution of the slope sliding belt after the earthquake actionDetermining the initial damage area of the seabed slopeShear stress ratio distribution of submarine slope slip band after earthquake actionCan be expressed as
s14: and judging whether the submarine slope is damaged.
Preferably, in step S3, an exponential function is used to describe the geometric form of the sea floor slope, and a slope geometric model is built, as shown below:
Preferably, the basic physical-mechanical index of the slider in step S4 includes the density of the sliderLateral compression modulus。
Preferably, the specific derivation process in step S5 is as follows: before an earthquake, the seabed slope is in a static state, the stress state of the slope unit meets the moment balance principle,initial static lateral pressure of the seabed slope;is static shear stress;is the radius of curvature of the slope;is the shear band length;is a slope inclination angle;is a sliding body with vertical thickness and satisfies;The calculation formula is shown in formula (1) for the weight of the slippery body.
In the earthquake process, the seabed slope motion meets the angular momentum conservation principle,increased lateral pressure for seismic events;shear band dynamic shear stress in earthquake;is the seismic acceleration;is the displacement of the sliding body relative to the bedrock;
Assuming that the inter-slider unit compression and tension satisfy Hooke's law during the seismic action,can be expressed as:
since the sea floor slip angle is generally small, the following equation is satisfied:
The formula (6) of the vibration force response kinematics control equation of the seabed sloping land in the step S5 can be obtained by subtracting the formula (1) from the formula (2) and substituting the formulas (3) to (5); in step S5, the boundary conditions of the sea bottom slope ground vibration force response kinematics control equation are:
In the formula (7)Representing coordinatesIs atDisplacement of the sliding body relative to the bedrock at any moment;representing coordinatesIs atAcceleration of the sliding body relative to the bedrock at any moment;,;,is the horizontal length of the seabed slope,is a set distance step;,for the duration of the earthquake,is a set time step;at the boundary pointThe displacement of the sliding body relative to the bedrock at the moment can be considered to be approximately horizontal due to the fact that the gradient of the seabed slope at the boundary is very gentle, and the displacement can be calculated through horizontal seismic response.
Further, the discretization format of the ocean bottom slope seismic dynamic response kinematic control equation in the step S6 is obtained by using a finite difference method in combination with the equation (7).
Preferably, the SIMPPLE DSS model in the step S7 is an effective stress principle-based soil dynamic constitutive model, the influence of the initial shear stress ratio on the dynamic properties of the sediment soil can be considered, the plastic shear strain and the super-pore water pressure accumulation process in the cyclic loading process can be described, the SIMPPLE DSS model contains 7 parameters in total, and the parameters are respectively、、、、、、,In order to control the sensitivity of the device,in order to control the strength of the non-drainage water,in order to describe the effective stress envelope,in order to control the shear modulus at low strain,to control the monotonic shear stress-strain curve,to control the cyclic loading of the active stress path,to control cyclic loading shear stiffness.
Preferably, the specific derivation procedure of step S8 is as follows: landslide of the sea bed after earthquake actionIn the range of initial destruction regionThe initial failure region can be further expanded to two ends to satisfy the energy conservation theorem as follows:
In the formulaActing for gravitational potential energy in the gliding process of the initial damage area;the elastic potential energy is converted into the elastic potential energy of the sliding body soil in the sliding process;for overcoming the residual shear stress of the slip band soilThe work to be done;the work required to overcome the residual shear stress exceeding the slipband soil.
In the formula (9)
In the formula (13)
Is a geometric form function of the seabed slope;the weight is the weight of the slippery body; h is the thickness of the sliding body;is the initial failure zone glide increment;the residual shear stress of the slip band soil is adopted;the peak shear stress of the slip band soil;the damping coefficient is the damping coefficient of the land seismic action intensity of the sliding belt;the sensitivity is the sensitivity of the slippery soil;shearing the slipperiness soil after the earthquake to a shearing displacement corresponding to the residual strength;the shear stress ratio of slip zone soil before earthquake;the shear stress ratio of the slip zone soil after earthquake.
The critical initial shear zone length of the instability of the seabed slope considering the uneven reduction of the intensity of the slipband soil caused by the earthquake is obtained in the formula (10) -15-driven-in type (9)Is represented as follows:
Preferably, the MATLAB software programming procedure in step S10 is: assuming that the dynamic shear stress in the shear band remains constant during the kth time step, i.e. it isDynamic shear stress(ii) a Dynamic shear stress in the next time stepCan be calculated according to the displacement and the constitutive equation of the soil dynamics calculated by the formula (8) in the step S6; the process is repeated until the earthquake is finished, and the dynamic response process of the seabed slope earthquake is obtained through calculation.
Preferably, in step S12, the distribution of the intensity reduction coefficient of the overburden soil after earthquakeThis can be predicted as follows: if the permanent shear strain value of the slip band soil after the earthquake does not exceed the shear peak value strength of the slip band soil before the earthquakeThe corresponding shear strain value is that the shear of the slip zone soil after the earthquake is still(ii) a If the permanent shear strain value of the slip band soil after the earthquake exceeds the shear strain value corresponding to the shear peak value strength of the slip band soil before the earthquake, the shear strength of the slip band soil after the earthquake can be taken as the shear stress value corresponding to the permanent shear strain value of the slip band soil after the earthquake on the monotonous shear stress-strain curve of the slip band soil before the earthquake.
Preferably, in step S14, the threshold value is calculated by using the calculation formula of the length value of the critical initial shear band of the sea bottom slope instability derived in step S8, and compared with the length of the initial failure zone determined in step S13, if the threshold value is compared with the length of the initial failure zone determined in step S13, the method further comprises the step of calculating the threshold valueThe sea floor slope is unstable ifThe seabed slope is locally destroyed (progressive destruction), ifThe seafloor slope stabilizes.
Due to the adoption of the technical scheme, compared with the prior art, the invention has the following beneficial effects: compared with the prior art, the method for evaluating the stability of the landslide of the seabed after the earthquake based on the in-situ monitoring under the earthquake action of the seabed slope is provided. By using the method, the potential slip band strength reduction of the submarine slope can be calculated by reversing the seismic action and the submarine slope seismic response process according to the displacement monitoring result under the condition that only a small amount of displacement in-situ monitoring equipment is required to be arranged, and the submarine slope stability after the seismic action can be judged by combining the shear band expansion theory.
Additional aspects and advantages of the invention will be set forth in part in the description which follows, and in part will be obvious from the description, or may be learned by practice of the invention.
Drawings
The above and/or additional aspects and advantages of the present invention will become apparent and readily appreciated from the following description of the embodiments, taken in conjunction with the accompanying drawings of which:
FIG. 1 is a layout of an in situ monitoring apparatus according to the present invention;
FIG. 2 is a force analysis diagram of a slider unit of the seabed curved surface slope vibration force response calculation method;
FIG. 3 is a seismic time course curve (Coyoto earthquake) of the method for calculating the vibration force response of the curved surface slope of the seabed;
FIG. 4 is a diagram of displacement data transmitted in real time during seismic action by the displacement in-situ monitoring device arranged at a monitoring point according to the present invention;
FIG. 8 is a graph of the shear stress ratio distribution of the pre-earthquake seabed slope slip band obtained by calculation;
FIG. 9 is a diagram for obtaining the reduction factorThe situation is distributed along the sliding belt;
FIG. 10 is the calculated shear stress ratio distribution of the submarine slope slip band after earthquake;
FIG. 11 is the calculated distribution of the permanent shear strain of the slip band of the seabed slope after earthquake.
Detailed Description
In order that the above objects, features and advantages of the present invention can be more clearly understood, a more particular description of the invention will be rendered by reference to the appended drawings. It should be noted that the embodiments and features of the embodiments of the present application may be combined with each other without conflict.
In the following description, numerous specific details are set forth in order to provide a thorough understanding of the present invention, however, the present invention may be practiced otherwise than as specifically described herein, and thus the scope of the present invention is not limited by the specific embodiments disclosed below.
The method for analyzing the stability of the seabed slope after earthquake based on in-situ monitoring according to the embodiment of the invention is specifically described below with reference to fig. 1 to 3.
A method for analyzing stability of a seabed slope after earthquake based on in-situ monitoring specifically comprises the following steps:
s1: carrying out on-site geological survey on a submarine slope to be monitored, acquiring topographic and geomorphic data of the slope, identifying a potential sliding surface, determining a region to be monitored, and setting a monitoring profile; the method comprises the steps of obtaining topographic and geomorphic data of the submarine slope by utilizing multi-beam sounding, obtaining stratum structure data of the submarine slope by utilizing multiple earthquakes, determining a potential sliding surface of the submarine slope by utilizing drilling sampling and an indoor geotechnical test, preliminarily judging a destabilization section which is easily caused by earthquake action in the submarine slope, and reasonably selecting a monitoring section.
S2: arranging displacement in-situ monitoring devices with a data real-time transmission function on potential sliding surfaces at two ends of a monitoring section;
s3: establishing a slope geometric model according to the landform data; an exponential function is adopted to describe the geometrical form of the submarine slope, and a slope geometrical model is established, wherein the slope geometrical model is expressed as follows:
S4: acquiring basic physical and mechanical indexes of a sliding body; the basic physical and mechanical indexes of the sliding body comprise the density of the sliding bodyLateral compression modulus。
S5: constructing a submarine slope earthquake power response kinematics control equation of a calculation task;
the specific derivation process is as follows: before an earthquake, the seabed slope is in a static state, the stress state of the slope unit meets the moment balance principle,initial static lateral pressure of the seabed slope;is static shear stress;is the radius of curvature of the slope;is the shear band length;is a slope inclination angle;is a sliding body with vertical thickness and satisfies;The calculation formula is shown in formula (1) for the weight of the slippery body.
In the earthquake process, the seabed slope motion meets the angular momentum conservation principle,increased lateral pressure for seismic events;shear band dynamic shear stress in earthquake;is the seismic acceleration;is the displacement of the sliding body relative to the bedrock;
Assuming that the inter-slider unit compression and tension satisfy Hooke's law during the seismic action,can be expressed as:
since the sea floor slip angle is generally small, the following equation is satisfied:
The formula (6) of the vibration force response kinematics control equation of the seabed sloping land in the step S5 can be obtained by subtracting the formula (1) from the formula (2) and substituting the formulas (3) to (5); in step S5, the boundary conditions of the sea bottom slope ground vibration force response kinematics control equation are:
In the formula (7)Representing coordinatesIs atDisplacement of the sliding body relative to the bedrock at any moment;representing coordinatesIs atAcceleration of the sliding body relative to the bedrock at any moment;,;,is the horizontal length of the seabed slope,is a set distance step;,for the duration of the earthquake,is a set time step;at the boundary pointThe displacement of the sliding body relative to the bedrock at the moment can be considered to be approximately horizontal due to the fact that the gradient of the seabed slope at the boundary is very gentle, and the displacement can be calculated through horizontal seismic response.
S6: discretizing the control equation constructed in the step S5 by using a finite difference method to obtain a discretization format of the submarine slope seismic power response kinematics control equation;
The discretization format of the seabed slope earthquake dynamic response kinematics control equation is obtained by utilizing a finite difference method and combining the formula (7).
S7: selecting a proper model to describe the shear band geomechanical relationship and obtainingThe model parameters; the SIMPPLE DSS model is an effective stress principle-based soil dynamic constitutive model, can consider the influence of initial shear stress ratio on the dynamic properties of sediment soil, and can describe the plastic shear strain and the super-pore water pressure accumulation process in the cyclic loading process, wherein the SIMPPLE DSS model contains 7 parameters which are respectively、、、、、、,In order to control the sensitivity of the device,in order to control the strength of the non-drainage water,in order to describe the effective stress envelope,in order to control the shear modulus at low strain,for controlling monotonous shearingThe stress-strain curve of the strain gauge is,to control the cyclic loading of the active stress path,to control cyclic loading shear stiffness.
S8: the actual situation of uneven reduction of the slip zone soil strength after the earthquake action is considered, and the length of the critical initial shear zone of the seabed slope instability is deducedA value calculation formula; the specific derivation process is as follows: landslide of the sea bed after earthquake actionIn the range of initial destruction regionThe initial failure region can be further expanded to two ends to satisfy the energy conservation theorem as follows:
In the formulaActing for gravitational potential energy in the gliding process of the initial damage area;the elastic potential energy is converted into the elastic potential energy of the sliding body soil in the sliding process;for overcoming the residual shear stress of the slip band soilThe work to be done;the work required to overcome the residual shear stress exceeding the slipband soil.
In the formula (9)
In the formula (13)
Is a geometric form function of the seabed slope;the weight is the weight of the slippery body; h is the thickness of the sliding body;is the initial failure zone glide increment;the residual shear stress of the slip band soil is adopted;the peak shear stress of the slip band soil;the damping coefficient is the damping coefficient of the land seismic action intensity of the sliding belt;the sensitivity is the sensitivity of the slippery soil;shearing the slipperiness soil after the earthquake to a shearing displacement corresponding to the residual strength;the shear stress ratio of slip zone soil before earthquake;the shear stress ratio of the slip zone soil after earthquake.
The critical initial shear zone length of the instability of the seabed slope considering the uneven reduction of the intensity of the slipband soil caused by the earthquake is obtained in the formula (10) -15-driven-in type (9)Is represented as follows:
S9: the seismic acceleration time-course curve data and the in-situ monitoring point displacement time-course data are transmitted to a ground receiving center in real time, and the data are converted into a txt format;
s10: the number of time courses for the displacement of the in-situ monitoring pointUsing MATLAB software to write a program, inputting a calculation parameter value, reading seismic time-course data and calculating the seismic power response of the seabed slope according to the boundary condition, wherein the MATLAB software writing program process is as follows: assuming that the dynamic shear stress in the shear band remains constant during the kth time step, i.e. it isDynamic shear stress(ii) a Dynamic shear stress in the next time stepCan be calculated according to the displacement and the constitutive equation of the soil dynamics calculated by the formula (8) in the step S6; the process is repeated until the earthquake is finished, and the dynamic response process of the seabed slope earthquake is obtained through calculation.
S11: calculating the initial shear stress ratio distribution of the slope sliding beltCalculating the initial shear stress ratio distribution of the slope sliding beltAccording to the following formula:
s12: predicting the intensity reduction coefficient distribution of the slip zone soil after earthquake action(ii) a Distribution of strength reduction coefficient of slip zone soil after earthquakeThis can be predicted as follows: if the permanent shear strain value of the slip band soil after the earthquake does not exceed the shear peak value strength of the slip band soil before the earthquakeThe corresponding shear strain value is that the shear of the slip zone soil after the earthquake is still(ii) a If the permanent shear strain value of the slip band soil after the earthquake exceeds the shear strain value corresponding to the shear peak value strength of the slip band soil before the earthquake, the shear strength of the slip band soil after the earthquake can be taken as the shear stress value corresponding to the permanent shear strain value of the slip band soil after the earthquake on the monotonous shear stress-strain curve of the slip band soil before the earthquake.
S13: calculating the shear stress ratio distribution of the slope sliding belt after the earthquake actionDetermining the initial damage area of the seabed slopeShear stress ratio distribution of submarine slope slip band after earthquake actionCan be expressed as
s14: and judging whether the submarine slope is damaged. Calculating to obtain a critical value by using the calculation formula of the length value of the critical initial shear zone of the seabed slope instability derived in the step S8, comparing the critical value with the length of the initial damage zone determined in the step S13, and if the critical value is not the critical initial shear zone, determining the length of the initial damage zoneThe sea floor slope is unstable ifThe seabed slope is locally destroyed (progressive destruction), ifThe seafloor slope stabilizes.
Take a certain sea-bottom landslide slope as an example:
step S1: carrying out on-site geological survey on a submarine slope to be monitored, acquiring topographic and geomorphic data of the slope, identifying a potential sliding surface, determining a region to be monitored, and setting a monitoring profile;
step S2: arranging displacement in-situ monitoring devices on potential sliding surfaces at two ends of the monitoring profile;
step S3: parameters of the geometric model of the seafloor slope are shown in the following table
Step S4: the basic physical and mechanical indexes of the sliding body are shown in the following table
Step S5: constructing a submarine slope earthquake power response kinematics control equation of a calculation task;
step S6: discretizing the control equation constructed in the step S5 by using a finite difference method to obtain a discretization format of the submarine slope seismic power response kinematics control equation;
Step S7: SIMPLE DSS calculation parameters used in the model are shown in the following table
Step S8: considering the actual situation of uneven reduction of the slipband soil strength after the earthquake action, deducing a calculation formula of the length L _ cr value of the critical initial shear band of the seabed slope instability;
step S9: acquiring seismic acceleration time-course curve data and in-situ monitoring point displacement time-course data;
fig. 3.
Step S10: taking the displacement time-course data of the in-situ monitoring points as boundary conditions, compiling a program by using MATLAB software, inputting calculation parameter values, reading seismic time-course data, and calculating the seismic power response of the submarine slope; as shown in fig. 4.
Step S11: calculating the initial shear stress ratio distribution of the slope sliding belt(ii) a As shown in fig. 8.
Step S12: predicting the intensity reduction coefficient distribution delta _ d (x) of the slip zone soil after the earthquake action; as shown in fig. 9.
Step S13: shear stress ratio distribution in submarine slope potential slip band after earthquake actionAs shown in fig. 10, according toCalculate out。
Step S14: calculating to obtain the critical value by using the calculation formula of the length value of the seabed slope instability critical initial shear band deduced in the step S8And thus the seafloor slope is a local disruption.
In the description of the present invention, the terms "plurality" or "a plurality" refer to two or more, and unless otherwise specifically limited, the terms "upper", "lower", and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the drawings, and are merely for convenience in describing the present invention and simplifying the description, but do not indicate or imply that the referred device or element must have a specific orientation, be constructed in a specific orientation, and be operated, and thus should not be construed as limiting the present invention; the terms "connected," "mounted," "secured," and the like are to be construed broadly and include, for example, fixed connections, removable connections, or integral connections; may be directly connected or indirectly connected through an intermediate. The specific meanings of the above terms in the present invention can be understood by those skilled in the art according to specific situations.
In the description herein, the description of the terms "one embodiment," "some embodiments," "specific embodiments," etc., means that a particular feature, structure, material, or characteristic described in connection with the embodiment or example is included in at least one embodiment or example of the invention. In this specification, the schematic representations of the terms used above do not necessarily refer to the same embodiment or example. Furthermore, the particular features, structures, materials, or characteristics described may be combined in any suitable manner in any one or more embodiments or examples.
The above is only a preferred embodiment of the present invention, and is not intended to limit the present invention, and various modifications and changes will occur to those skilled in the art. Any modification, equivalent replacement, or improvement made within the spirit and principle of the present invention should be included in the protection scope of the present invention.
Claims (10)
1. A submarine slope post-earthquake stability analysis method based on in-situ monitoring is characterized by comprising the following steps:
s1: carrying out on-site geological survey on a submarine slope to be monitored, acquiring topographic and geomorphic data of the slope, identifying a potential sliding surface, determining a region to be monitored, and setting a monitoring profile;
s2: arranging displacement in-situ monitoring devices with a data real-time transmission function on potential sliding surfaces at two ends of a monitoring section;
s3: establishing a slope geometric model according to the landform data;
s4: acquiring basic physical and mechanical indexes of a sliding body;
s5: constructing a submarine slope earthquake power response kinematics control equation of a calculation task;
s6: discretizing the control equation constructed in the step S5 by using a finite difference method to obtain a discretization format of the submarine slope seismic power response kinematics control equation;
S7: selecting a proper model to describe the shear band soil dynamics constitutive relation, and acquiring the model parameters;
s8: the actual situation of uneven reduction of the slip zone soil strength after the earthquake action is considered, and the length of the critical initial shear zone of the seabed slope instability is deducedA value calculation formula;
s9: the seismic acceleration time-course curve data and the in-situ monitoring point displacement time-course data are transmitted to a ground receiving center in real time, and the data are converted into a txt format;
s10: taking the displacement time-course data of the in-situ monitoring points as boundary conditions, compiling a program by using MATLAB software, inputting calculation parameter values, reading seismic time-course data, and calculating the seismic power response of the submarine slope;
s11: calculating the initial shear stress ratio distribution of the slope sliding beltCalculating the initial shear stress ratio distribution of the slope sliding beltAccording to the following formula:
s12: predicting the intensity reduction coefficient distribution of the slip zone soil after earthquake action;
S13: calculating the shear stress ratio distribution of the slope sliding belt after the earthquake actionDetermining the initial damage area of the seabed slopeShear stress ratio distribution of submarine slope slip band after earthquake actionCan be expressed as
s14: and judging whether the submarine slope is damaged.
2. The method for analyzing the stability of the seafloor slope after earthquake based on in-situ monitoring as claimed in claim 1, wherein in step S3, an exponential function is used to describe the geometric form of the seafloor slope, and a slope geometric model is built, as shown below:
4. The method for analyzing stability of the seabed slope after earthquake based on in-situ monitoring as claimed in claim 1The specific derivation process in step S5 is as follows: before an earthquake, the seabed slope is in a static state, the stress state of the slope unit meets the moment balance principle,initial static lateral pressure of the seabed slope;is static shear stress;is the radius of curvature of the slope;is the shear band length;is a slope inclination angle;is a sliding body with vertical thickness and satisfies;The calculation formula is shown as formula (1) for the weight of the slippery body;
In the earthquake process, the seabed slope motion meets the angular momentum conservation principle,increased lateral pressure for seismic events;shear band dynamic shear stress in earthquake;is the seismic acceleration;is the displacement of the sliding body relative to the bedrock;
Assuming that the inter-slider unit compression and tension satisfy Hooke's law during the seismic action,can be expressed as:
since the sea floor slip angle is generally small, the following equation is satisfied:
The formula (6) of the vibration force response kinematics control equation of the seabed sloping land in the step S5 can be obtained by subtracting the formula (1) from the formula (2) and substituting the formulas (3) to (5); in step S5, the boundary conditions of the sea bottom slope ground vibration force response kinematics control equation are:
In the formula (7)Representing coordinatesIs atDisplacement of the sliding body relative to the bedrock at any moment;representing coordinatesIs atAcceleration of the sliding body relative to the bedrock at any moment;,;,for water on a seabed slopeThe length of the flat part is long,is a set distance step;,for the duration of the earthquake,is a set time step;at the boundary pointThe displacement of the sliding body relative to the bedrock at the moment can be considered to be approximately horizontal due to the fact that the gradient of the seabed slope at the boundary is very gentle, and the displacement can be calculated through horizontal seismic response.
5. The method for analyzing the stability after earthquake of the seabed slope based on in-situ monitoring as claimed in claim 5, wherein the discretization format of the seabed slope earthquake dynamic response kinematics control equation in the step S6 is obtained by using a finite difference method in combination with equation (7).
6. The method for analyzing stability after earthquake on seabed slope based on in-situ monitoring as claimed in claim 1, wherein the SIMPPLE DSS model in step S7 is a soil dynamic constitutive model based on effective stress principle, which can consider the influence of initial shear stress ratio on the soil dynamic property of sediment, and can describe the plastic shear strain and the super-pore water pressure accumulation process in the cyclic loading process, and the SIMPPLE DSS model contains 7 parameters in total, each parameter being、、、、、、,In order to control the sensitivity of the device,in order to control the strength of the non-drainage water,in order to describe the effective stress envelope,in order to control the shear modulus at low strain,to control the monotonic shear stress-strain curve,loading effective stress path for controlling circulationThe diameter of the steel wire is measured,to control cyclic loading shear stiffness.
7. The method for analyzing the stability of the seabed slope after earthquake based on in-situ monitoring as claimed in claim 1, wherein the specific derivation process of the step S8 is as follows: landslide of the sea bed after earthquake actionIn the range of initial destruction regionThe initial failure region can be further expanded to two ends to satisfy the energy conservation theorem as follows:
In the formulaActing for gravitational potential energy in the gliding process of the initial damage area;the elastic potential energy is converted into the elastic potential energy of the sliding body soil in the sliding process;for overcoming the residual shear stress of the slip band soilThe work to be done;the work required for overcoming the residual shear stress of the topland soil is exceeded;
in the formula (9)
In the formula (13)
Is a geometric form function of the seabed slope;the weight is the weight of the slippery body; h is the thickness of the sliding body;is the initial failure zone glide increment;the residual shear stress of the slip band soil is adopted;the peak shear stress of the slip band soil;the damping coefficient is the damping coefficient of the land seismic action intensity of the sliding belt;the sensitivity is the sensitivity of the slippery soil;shearing the slipperiness soil after the earthquake to a shearing displacement corresponding to the residual strength;the shear stress ratio of slip zone soil before earthquake;the shear stress ratio of the slip zone soil after earthquake; the critical initial shear zone length of the instability of the seabed slope considering the uneven reduction of the intensity of the slipband soil caused by the earthquake is obtained in the formula (10) -15-driven-in type (9)Is represented as follows:
8. The method for analyzing the stability of the seabed slope after earthquake based on in-situ monitoring as claimed in claim 1, wherein the MATLAB software programming process in the step S10 is as follows: in the shear band assumed to be in the kth time stepThe dynamic shear stress remains unchanged, i.e. it isDynamic shear stress(ii) a Dynamic shear stress in the next time stepCan be calculated according to the displacement and the constitutive equation of the soil dynamics calculated by the formula (8) in the step S6; the process is repeated until the earthquake is finished, and the dynamic response process of the seabed slope earthquake is obtained through calculation.
9. The method for analyzing stability of the seabed slope after earthquake based on in-situ monitoring as claimed in claim 1, wherein in step S12, the distribution of the reduction coefficient of the slip band soil strength after earthquakeThis can be predicted as follows: if the permanent shear strain value of the slip band soil after the earthquake does not exceed the shear peak value strength of the slip band soil before the earthquakeThe corresponding shear strain value is that the shear of the slip zone soil after the earthquake is still(ii) a If the permanent shear strain value of the slip band soil after the earthquake exceeds the shear strain value corresponding to the shear peak value strength of the slip band soil before the earthquake, the shear strength of the slip band soil after the earthquake can be taken as the shear stress value corresponding to the permanent shear strain value of the slip band soil after the earthquake on the monotonous shear stress-strain curve of the slip band soil before the earthquake.
10. The method for analyzing stability of the seabed slope after earthquake based on in-situ monitoring as claimed in claim 1, wherein in the step S14, the step ofS8, calculating the critical value according to the calculation formula of the length value of the critical initial shear zone of the seabed slope instability, comparing the critical value with the length of the initial damage zone determined in the step S13, and if the critical value is not the initial damage zone, determining whether the length of the initial shear zone is the same as the length of the initial damage zoneThe sea floor slope is unstable ifThe seabed slope is locally destroyed (progressive destruction), ifThe seafloor slope stabilizes.
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