CN108229028A - A kind of method for weighting Seismic net than generation based on ceiling capacity - Google Patents
A kind of method for weighting Seismic net than generation based on ceiling capacity Download PDFInfo
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- CN108229028A CN108229028A CN201810010153.2A CN201810010153A CN108229028A CN 108229028 A CN108229028 A CN 108229028A CN 201810010153 A CN201810010153 A CN 201810010153A CN 108229028 A CN108229028 A CN 108229028A
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Abstract
The invention belongs to complex network technical fields, and in particular to a kind of based on method of the ceiling capacity than generation weighting Seismic net.Technical solution is as follows:A kind of method for being weighted Seismic net than generation based on ceiling capacity, is included the following steps:Step 1:Build network analysis topological property;Step 2:According to magnitude, influence diameter and influence time relationship carries out network modelling;Step 3:Undirected Seismic net and oriented Seismic net are generated by simulation;Step 4:Define based on ceiling capacity than company's side right value method;Step 5:Draw out the distribution probability table of side right value in network;Step 6:Draw the probability distribution graph of side right value in network;Step 7:Draw the probability double-log distribution map of side right value in network.The method provided by the invention for weighting Seismic net than generation based on ceiling capacity, for Study of Seismic propagation path.
Description
Technical field
The invention belongs to complex network technical fields, and in particular to one kind is based on ceiling capacity than generation weighting Seismic net
Method.
Background technology
Through the ages, earthquake often brings serious harm to the mankind, and the annual whole world can all have about ten to be caused several times to the mankind
The earthquake of grievous injury occurs.Earthquake is difficult to avoid that, but if can correctly understand its rule, scientifically grasps earthquake
Affecting laws and countermeasure can effectively mitigate earthquake and loss.It can study ground by building Seismic net model
Propagation path is shaken, existing weighting Seismic net is using common earthquake number or earthquake effect number as side right value.
Invention content
The present invention provides a kind of method for weighting Seismic net than generation based on ceiling capacity, and road is propagated for Study of Seismic
Diameter.
Technical scheme is as follows:
A kind of method for being weighted Seismic net than generation based on ceiling capacity, is included the following steps:
Step 1:Network analysis topological property is built, network node is divided using the method for longitude and latitude partitioning site, by ground
The geographic area that is included of shake data is divided into several sub-boxes, remove geographic area that incoherent seismic data includes and
After earthquake magnitude is less than 1 grade of zonule, these regions are numbered;
Step 2:According to magnitude, influence diameter and influence time relationship carries out network modelling;
1) for network node i, earthquake magnitude is with influencing diameter and influencing the relational expression of duration:
log Ti=a1Mi+b1 (1)
logLi=a2Mi+b2 (2)
Wherein, MiExpression is happened at the magnitude of node i, TiRepresent that M occurs for node iiInfluence time after grade earthquake,
LiRepresent that M occurs for node iiBiggest impact distance after earthquake, that is, influence diameter, a1、a2、b1、b2It is according to the normal of statistics gained
Number;
2) judged between node i and node j with the presence or absence of even side by formula (3) and (4):
Δ t=ti-tj (3)
Wherein, Δ t represents node earthquake interval, tiRepresent the earthquake moment of node i, tjWhen representing the earthquake of node j
It carves, dijRepresent the spacing distance between node i and node j, R is earth radius, ilatRepresent that the longitude of earthquake occurs for node i,
ilonRepresent that the latitude of earthquake, j occur for node ilatRepresent that the longitude of earthquake, j occur for node jlonRepresent that earthquake occurs for node j
Latitude;The earthquake magnitude of acquiescence focus is more than its region earthquake magnitude influenced;
3) the company side between nodes is defined:In one earthquake event, if node i, j successively occur earthquake and
Node j is within the coverage of node i and influence time, i.e. Δ t≤TiAnd dij≤Li, then exist between node i and j and connect
Side;If earthquake has occurred in node i, j, v successively and node v is within the influence time and coverage of node i and j,
There is even side between node v and node i and j;Weight side is excluded, while excludes the earthquake that node is occurred by itself affect, i.e., from ring;
Step 3:Undirected Seismic net and oriented Seismic net are generated by simulation;
Step 4:Define based on ceiling capacity than company's side right value method:All it is that primary energy discharges per secondary earthquake
Process, and the relationship between energy and earthquake magnitude is as follows:
E=101.5*M+11.8 (5)
Wherein, E is the energy of earthquake, and M is earthquake magnitude;
Define the side right value s of m secondary earthquake event interior joints i and jijmFor:
Wherein, Eim, EjmThe energy of node i and j during m secondary earthquakes are represented respectively;
Formula (5) is substituted into formula (6), i.e.,
Wherein, MimRepresent the earthquake magnitude of focus node i during m secondary earthquakes, MjmRepresent the earthquake magnitude of node j during m secondary earthquakes;
Step 5:Draw out the distribution probability table of side right value in network;
Step 6:Draw the probability distribution graph of side right value in network;
Step 7:Draw the probability double-log distribution map of side right value in network.
The method for weighting Seismic net than generation based on ceiling capacity, wherein software environment are Windows7 systems
System, simulated environment Matlab.
Beneficial effects of the present invention are:The present invention provides a kind of new method to define the side right value in Seismic net model,
The method provides more efficient information for structure Seismic net model and prediction earthquake propagation path.
Description of the drawings
Fig. 1 is the oriented earthquake network of 0.1*0.1 longitudes and latitudes partitioning site generation;
Fig. 2 is based on undirected Seismic net side right value probability distribution graph of the ceiling capacity than generation;
Fig. 3 is based on oriented earthquake network edge weights probability distribution graph of the ceiling capacity than generation;
Fig. 4 is based on undirected Seismic net side right value probability double-log distribution map of the ceiling capacity than generation;
Fig. 5 is based on oriented earthquake network edge weights probability double-log distribution map of the ceiling capacity than generation.
Specific embodiment
A kind of method for weighting Seismic net than generation based on ceiling capacity, software environment are Windows7 systems, are emulated
Environment is Matlab, is included the following steps:
Step 1:Network analysis topological property is built, network node is divided using the method for longitude and latitude partitioning site, by ground
The geographic area that is included of shake data is divided into several sub-boxes, remove geographic area that incoherent seismic data includes and
After earthquake magnitude is less than 1 grade of zonule, these regions are numbered;It is 579 to choose number of nodes, and number of edges is 3496;
Step 2:According to magnitude, influence diameter and influence time relationship carries out network modelling;
1) for network node i, earthquake magnitude is with influencing diameter and influencing the relational expression of duration:
log Ti=a1Mi+b1 (1)
logLi=a2Mi+b2 (2)
Wherein, MiExpression is happened at the magnitude of node i, TiRepresent that M occurs for node iiInfluence time after grade earthquake,
LiRepresent that M occurs for node iiBiggest impact distance after earthquake, that is, influence diameter, a1、a2、b1、b2It is according to the normal of statistics gained
Number;
2) judged between node i and node j with the presence or absence of even side by formula (3) and (4):
Δ t=ti-tj (3)
Wherein, Δ t represents node earthquake interval, tiRepresent the earthquake moment of node i, tjWhen representing the earthquake of node j
It carves, dijRepresent the spacing distance between node i and node j, R is earth radius, ilatRepresent that the longitude of earthquake occurs for node i,
ilonRepresent that the latitude of earthquake, j occur for node ilatRepresent that the longitude of earthquake, j occur for node jlonRepresent that earthquake occurs for node j
Latitude;The earthquake magnitude of acquiescence focus is more than its region earthquake magnitude influenced;
3) the company side between nodes is defined:In one earthquake event, if node i, j successively occur earthquake and
Node j is within the coverage of node i and influence time, i.e. Δ t≤TiAnd dij≤Li, then exist between node i and j and connect
Side;If earthquake has occurred in node i, j, v successively and node v is within the influence time and coverage of node i and j,
There is even side between node v and node i and j;Weight side is excluded, while excludes the earthquake that node is occurred by itself affect, i.e., from ring;
Step 3:It is simulated by Matlab and generates undirected Seismic net and oriented Seismic net;Oriented Seismic net such as Fig. 1
It is shown;
Step 4:Define based on ceiling capacity than company's side right value method:All it is that primary energy discharges per secondary earthquake
Process, and the relationship between energy and earthquake magnitude is as follows:
E=101.5*M+11.8 (5)
Wherein, E is the energy of earthquake, and M is earthquake magnitude;Earthquake mainly passes through seimic wave propagation energy;Seismic wave is divided into shear wave
And longitudinal wave, longitudinal wave causes ground dipping and heaving, and shear wave carries main energy and transmits energy along seismic spread direction, so as to
Cause close region that earthquake occurs;
Define the side right value s of m secondary earthquake event interior joints i and jijmFor:
Wherein, Eim, EjmThe energy of node i and j during m secondary earthquakes are represented respectively;
Formula (5) is substituted into formula (6), i.e.,
Wherein, MimRepresent the earthquake magnitude of focus node i during m secondary earthquakes, MjmRepresent the earthquake magnitude of node j during m secondary earthquakes;
Step 5:Draw out the distribution probability table of side right value in network;It is shown in Table 1:
Table 1 based on ceiling capacity than Seismic net side right value probability
As shown in Table 1, in undirected Seismic net, there is not the company side that weights are more than or equal to 1, and weights are not less than
0.5 Lian Bianzhan overall 18%;In oriented Seismic net, similary there is no the company side that weights are more than or equal to 1, weights are not less than
0.5 company side accounts for 21%;Because when earthquake occurs, close region spot can be influenced by only carrying the shear wave of most of energy
Shake, therefore the company side that weights are more than or equal to 1 can not possibly occur;
Step 6:The probability distribution graph of side right value in network is drawn, as shown in Figure 2,3;
Step 7:Draw the probability double-log distribution map of side right value in network;It is taken by opposite side weights and its shared probability
Double-log, and then study whether side right value meets power-law distribution characteristic;As shown in Figures 4 and 5, either in undirected Seismic net also
It is in oriented Seismic net, side right value all disobeys power-law distribution;
In conclusion the weighting earthquake network model based on ceiling capacity than generation has prediction earthquake propagation path
More efficient meaning to predict the generation of earthquake from now on, reduces earthquake and provides strong foundation to the harm that the mankind bring.
Claims (2)
- It is 1. a kind of based on method of the ceiling capacity than generation weighting Seismic net, which is characterized in that include the following steps:Step 1:Network analysis topological property is built, network node is divided using the method for longitude and latitude partitioning site, by earthquake number Several sub-boxes are divided into according to the geographic area included, remove geographic area and earthquake magnitude that incoherent seismic data includes Behind less than 1 grade of zonule, these regions are numbered;Step 2:According to magnitude, influence diameter and influence time relationship carries out network modelling;1) for network node i, earthquake magnitude is with influencing diameter and influencing the relational expression of duration:log Ti=a1Mi+b1 (1)log Li=a2Mi+b2 (2)Wherein, MiExpression is happened at the magnitude of node i, TiRepresent that M occurs for node iiInfluence time after grade earthquake, LiIt represents M occurs for node iiBiggest impact distance after earthquake, that is, influence diameter, a1、a2、b1、b2It is the constant according to statistics gained;2) judged between node i and node j with the presence or absence of even side by formula (3) and (4):Δ t=ti-tj (3)Wherein, Δ t represents node earthquake interval, tiRepresent the earthquake moment of node i, tjRepresent the earthquake moment of node j, dijRepresent the spacing distance between node i and node j, R is earth radius, ilatRepresent that the longitude of earthquake, i occur for node ilonTable Show that the latitude of earthquake, j occur for node ilatRepresent that the longitude of earthquake, j occur for node jlonRepresent that the latitude of earthquake occurs for node j; The earthquake magnitude of acquiescence focus is more than its region earthquake magnitude influenced;3) the company side between nodes is defined:In one earthquake event, if earthquake and node successively occur for node i, j J is within the coverage of node i and influence time, i.e. Δ t≤TiAnd dij≤Li, then there is even side between node i and j;Such as Earthquake has occurred in fruit node i, j, v successively and node v is within the influence time and coverage of node i and j, then node v There is even side between node i and j;Weight side is excluded, while excludes the earthquake that node is occurred by itself affect, i.e., from ring;Step 3:Undirected Seismic net and oriented Seismic net are generated by simulation;Step 4:Define based on ceiling capacity than company's side right value method:All it is the process of primary energy release per secondary earthquake, And the relationship between energy and earthquake magnitude is as follows:E=101.5*M+11.8 (5)Wherein, E is the energy of earthquake, and M is earthquake magnitude;Define the side right value s of m secondary earthquake event interior joints i and jijmFor:Wherein, Eim, EjmThe energy of node i and j during m secondary earthquakes are represented respectively;Formula (5) is substituted into formula (6), i.e.,Wherein, MimRepresent the earthquake magnitude of focus node i during m secondary earthquakes, MjmRepresent the earthquake magnitude of node j during m secondary earthquakes;Step 5:Draw out the distribution probability table of side right value in network;Step 6:Draw the probability distribution graph of side right value in network;Step 7:Draw the probability double-log distribution map of side right value in network.
- It is 2. according to claim 1 based on method of the ceiling capacity than generation weighting Seismic net, which is characterized in that software Environment be Windows7 systems, simulated environment Matlab.
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Citations (3)
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CN106468782A (en) * | 2015-08-19 | 2017-03-01 | 中国石油化工股份有限公司 | A kind of based on ceiling capacity than method crack prediction method |
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CN107220493A (en) * | 2017-05-24 | 2017-09-29 | 王欣 | Shale gas horizontal well network fracture modeling method based on micro-seismic event |
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CN106468782A (en) * | 2015-08-19 | 2017-03-01 | 中国石油化工股份有限公司 | A kind of based on ceiling capacity than method crack prediction method |
CN106533742A (en) * | 2016-10-31 | 2017-03-22 | 天津大学 | Time sequence mode representation-based weighted directed complicated network construction method |
CN107220493A (en) * | 2017-05-24 | 2017-09-29 | 王欣 | Shale gas horizontal well network fracture modeling method based on micro-seismic event |
Non-Patent Citations (4)
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