Patent ID: 11965844
Assignee: SCHLUMBERGER TECHNOLOGY CORPORATION
Field: Measurement (Instruments)
Classification: CPC G | IPC G

Claim 16:
17. A method according to claim 1, wherein:
the processing of iv) involves inversion of the NMR data written in a one-dimensional matrix form of

m=k·ƒ, 

where m is a one-dimensional matrix whose i-th element corresponds to the data acquired with the i-th pair of echo time and applied experimental pressure,
ƒ is a one-dimensional matrix whose j-th element corresponds to the j-th pair of transverse relaxation value and capillary pressure value,
k is a one-dimensional kernel matrix defined as, k
   
    i
    ⁢
    j
   
  
  =
  
   
    
     S
     w
    
    (
    
     
      P
      
       cent
       ,
       k
      
     
     ,
     
      P
      cl
     
    
    )
   
   ⁢
   
    exp
    [
    
     -
      
     
      
       t
       i
      
      
       T
       
        2
        ,
        j
       
      
     
    
    ]
   
  
 

where Sw(Pcent,k,Pc,l) is a step function or modified step function representing saturation of the pore sample as a function of applied experimental pressure,
T2 represents a dimension of the transverse relaxation values, and
ti is the i-th value of the echo time techo for the echoes over the j transverse relaxation values of the f matrix.