Patent ID: 11946845
Assignee: KUNMING UNIVERSITY OF SCIENCE AND TECHNOLOGY
Field: Measurement (Instruments)
Classification: CPC G | IPC G

Claim 0:
1. A method for determining a three-dimensional tortuosity of a loose and broken rock-soil mass, comprising steps:
obtaining a particle grading curve of the loose and broken rock-soil mass by utilizing a particle size analysis, and obtaining an equivalent particle size d20 and an average particle size d50; wherein the obtaining an equivalent particle size d20 and an average particle size d50 comprises: selecting horizontal coordinate values corresponding to a point of 20% and a point of 50% on a vertical axis of the particle grading curve of the loose and broken rock-soil mass to record as the equivalent particle size d20 and the average particle size d50, respectively;
obtaining a porosity ϕ of the loose and broken rock-soil mass by utilizing a moisture content test, a density test, and a specific gravity test; and
obtaining the three-dimensional tortuosity τ of the loose and broken rock-soil mass by utilizing the equivalent particle size d20, the average particle size d50 and the porosity ϕ of the loose and broken rock-soil mass; wherein the three-dimensional tortuosity τ is expressed as follows:, τ
  =
  
   
    A
    ×
    
     (
     
      1
      -
      
       B
       C
      
     
     )
    
   
   
    D
    ×
    E
   
  
 

 
  A
  =
  
   7.42
   ×
   1
   ⁢
   
    0
    
     -
     7
    
   
   ⁢
   
    
     
      ρ
      w
     
     ⁢
     
      
       g
       ⁡
       (
       
        1
        -
        ϕ
       
       )
      
      3
     
    
   
   ⁢
   
    (
    
     
      3
      ⁢
      
       ln
       ⁡
       (
       
        
         
          4
          ⁢
          3
          ⁢
          
           2
          
         
         
          1
          ⁢
          
           0
           6
          
          ⁢
          
           d
           
            5
            ⁢
            0
           
          
         
        
        ⁢
        
         
          
           1
           -
           ϕ
          
          
           1
           -
           
            0.342
            ϕ
           
          
         
        
       
       )
      
     
     -
     
      ln
      ⁡
      (
      ϕ
      )
     
    
    )
   
  
 

 
  B
  =
  
   
    
     4
     ⁢
     3
     ⁢
     
      2
     
    
    
     1
     ⁢
     
      0
      6
     
     ⁢
     
      d
      
       5
       ⁢
       0
      
     
    
   
   ⁢
   
    
     
      1
      -
      ϕ
     
     
      1
      -
      
       0.342
       ϕ
      
     
    
   
  
 

 
  C
  =
  
   2
   -
   
    
     ln
     ⁡
     (
     ϕ
     )
    
    
     ln
     ⁡
     (
     
      
       
        4
        ⁢
        3
        ⁢
        
         2
        
       
       
        1
        ⁢
        
         0
         6
        
        ⁢
        
         d
         50
        
       
      
      ⁢
      
       
        
         1
         -
         ϕ
        
        
         1
         -
         
          0.342
          ϕ
         
        
       
      
     
     )
    
   
  
 

 
  D
  =
  
   
    d
    
     2
     ⁢
     0
    
   
   ⁢
   
    
     
      μ
      w
     
     (
     
      1
      -
      
       0.342
       ϕ
      
     
     )
    
   
  
 

 
  
   E
   =
   
    
     2
     ⁢
     
      ln
      ⁡
      (
      
       
        
         4
         ⁢
         3
         ⁢
         
          2
         
        
        
         1
         ⁢
         
          0
          6
         
         ⁢
         
          d
          50
         
        
       
       ⁢
       
        
         
          1
          -
          ϕ
         
         
          1
          -
          
           0.342
           ϕ
          
         
        
       
      
      )
     
    
    -
    
     ln
     ⁢
     ϕ
    
   
  
  ;
 

wherein ρw represents a density of water, g represents a gravitational acceleration, μw represents a viscosity of water, and In represents a logarithmic function with a base of 10.