Patent ID: 11946327
Assignee: YANGTZE UNIVERSITY
Field: Measurement (Instruments)
Classification: CPC E  G  Y | IPC E  G

Claim 4:
5. The automatic measuring method according to claim 2, wherein: the rheological parameters are calculated with the pressure and the flow rate; the calculation for different flow models use different computational formulas; for power law fluid,, Q
  =
  
    
      
        π
        ⁢
        
          
        
        ⁢
        
          n
          ⁡
          
            (
            
              
                R
                0
              
              +
              
                R
                i
              
            
            )
          
        
        ⁢
        
          R
          δ
          2
        
      
      
        2
        ⁢
        
          (
          
            
              2
              ⁢
              
                
              
              ⁢
              n
            
            +
            1
          
          )
        
      
    
    ⁢
    
      
        (
        
          
            τ
            b
          
          K
        
        )
      
      
        1
        n, where Q is the flow rate, R0 is the outer diameter of the annulus, Ri is the inner diameter of the annulus, K is the consistency coefficient, n is the fluidity index, and τb is the shear stress on the cylindrical surface;
for Bingham fluid,, Q
  =
  
    
      
        π
        ⁢
        
          
        
        ⁢
        
          (
          
            
              R
              o
            
            +
            
              R
              i
            
          
          )
        
        ⁢
        
          R
          δ
          2
        
      
      
        6
        ⁢
        
          μ
          p
        
      
    
    ⁡
    
      [
      
        
          τ
          b
        
        -
        
          
            3
            2
          
          ⁢
          
            τ
            0
          
        
        +
        
          
            τ
            0
            3
          
          
            2
            ⁢
            
              τ
              b
              3
            
          
        
      
      ], where τ0 is the fluid dynamic shear force and μp is the plastic viscosity;
for Herschel-Bulkley fluid,, Q
  =
  
    
      
        π
        ⁢
        
          
        
        ⁢
        
          n
          ⁡
          
            (
            
              
                R
                o
              
              +
              
                R
                i
              
            
            )
          
        
        ⁢
        
          R
          δ
          2
        
      
      
        2
        ⁢
        
          (
          
            
              2
              ⁢
              
                
              
              ⁢
              n
            
            +
            1
          
          )
        
        ⁢
        
          τ
          b
          2
        
        ⁢
        
          K
          
            1
            n
          
        
      
    
    ⁢
    
      
        (
        
          
            τ
            b
          
          -
          
            τ
            0
          
        
        )
      
      
        
          n
          +
          1
        
        n
      
    
    ⁢
    
      (
      
        
          τ
          b
        
        +
        
          
            n
            
              n
              +
              1
            
          
          ⁢
          
            τ
            0
          
        
      
      )
    
  

for Carson fluid,, Q
  =
  
    
      
        π
        ⁢
        
          
        
        ⁢
        
          n
          ⁡
          
            (
            
              
                R
                o
              
              +
              
                R
                i
              
            
            )
          
        
        ⁢
        
          R
          δ
          2
        
      
      
        
          μ
          ∞
        
        ⁢
        
          τ
          b
          2
        
      
    
    ⁡
    
      [
      
        
          
            1
            6
          
          ⁢
          
            (
            
              
                τ
                b
                3
              
              -
              
                τ
                0
                3
              
            
            )
          
        
        -
        
          
            2
            5
          
          ⁢
          
            
              (
              
                τ
                c
              
              )
            
            0.5
          
          ⁢
          
            (
            
              
                τ
                b
                2.5
              
              -
              
                τ
                0
                2.5
              
            
            )
          
        
        +
        
          
            1
            4
          
          ⁢
          
            
              τ
              0
            
            ⁡
            
              (
              
                
                  τ
                  b
                  2
                
                -
                
                  τ
                  0
                  2
                
              
              )
            
          
        
      
      ], where τc is the dynamic shear force for Carson fluid and μ∞ is the ultimate shear viscosity.