US2021405233A1PendingUtilityA1

System and method for real-time passive seismic event localization

Assignee: UNIV ALBERTAPriority: Nov 15, 2018Filed: Sep 10, 2021Published: Dec 30, 2021
Est. expiryNov 15, 2038(~12.3 yrs left)· nominal 20-yr term from priority
G01V 2210/6222G06F 17/16G01V 2210/675G01V 2210/679G01V 1/288G01V 2210/65G01V 1/282G01V 1/01
61
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Claims

Abstract

A computer-implemented method for seismic event localization includes: generating, with at least one processor, a vectorized snapshot matrix representing wave propagation data at a series of snapshots in time for a subterranean formation; computing a reduced orthonormal column basis matrix based on the vectorized snapshot matrix; constructing a reduced order wave propagation model based on the reduced orthonormal column basis matrix; receiving seismic data collected from a plurality of receivers at the subterranean formation; generating a time-domain coefficient matrix based on back propagation of the received seismic data and the reduced order wave propagation model; reconstructing time-reversed wavefield data based on the time-domain coefficient vector; and generating signals for outputting wavefield or seismic event location information based on the time-reversed wavefield data.

Claims

exact text as granted — not AI-modified
What is claimed is: 
     
         1 . A computer-implemented method for seismic event localization, the method comprising:
 generating, with at least one processor, a vectorized snapshot matrix representing wave propagation data at a series of snapshots in time for a subterranean formation;   computing a reduced orthonormal column basis matrix based on the vectorized snapshot matrix;   constructing a reduced order wave propagation model based on the reduced orthonormal column basis matrix;   receiving seismic data collected from a plurality of receivers at the subterranean formation;   generating a time-domain coefficient matrix based on back propagation of the received seismic data and the reduced order wave propagation model;   reconstructing time-reversed wavefield data based on the time-domain coefficient vector; and   generating signals for outputting wavefield or seismic event location information based on the time-reversed wavefield data.   
     
     
         2 . The method of  claim 1 , wherein computing the reduced orthonormal column basis matrix comprises: singular value decomposition or QR decomposition. 
     
     
         3 . The method of  claim 1 , wherein computing the reduced orthonormal column basis matrix is based on multi-dimensional stress-velocity two-way elastic wave equations: 
       
         
           
             
               
                 
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                           v 
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                     p 
                   
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                     t 
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                       t 
                       ) 
                     
                   
                 
                 
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                           t 
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                         ⁡ 
                         
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                     t 
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                         x 
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                             ( 
                             t 
                             ) 
                           
                         
                       
                     
                   
                   
                     ∂ 
                     t 
                   
                 
                 = 
                 
                   μ 
                   ⁡ 
                   
                     ( 
                     
                       
                         
                           ∂ 
                           
                             
                               v 
                               x 
                             
                             ⁡ 
                             
                               ( 
                               t 
                               ) 
                             
                           
                         
                         
                           ∂ 
                           z 
                         
                       
                       + 
                       
                         
                           ∂ 
                           
                             
                               v 
                               z 
                             
                             ⁡ 
                             
                               ( 
                               t 
                               ) 
                             
                           
                         
                         
                           ∂ 
                           x 
                         
                       
                     
                     ) 
                   
                 
               
               , 
             
           
         
       
       where τ xx  and τ zz  are the x and z components of the normal stress fields; τ xz  is shear stress field; v x  and v z  are horizontal and vertical components of particle velocity fields; f v     x    and f v     z    are single forces and f p  is an external pressure source 
     
     
         4 . The method of  claim 1 , wherein generating the vectorized snapshot matrix comprises: simulating wave propagations on a set of spatially discretized partial differential equations; and extracting simulated wave propagation data at each snapshot in the series of snapshots in time. 
     
     
         5 . The method of  claim 4 , wherein simulating the wave propagations uses source positions corresponding to locations of physical receivers at the subterranean formation. 
     
     
         6 . The method of  claim 4 , wherein the set of spatially discretized partial differential equations include 2-dimensional stress-velocity two-way elastic wave equations. 
     
     
         7 . The method of  claim 1 , wherein the wave propagation data is generated with a velocity model associated with the subterranean formation. 
     
     
         8 . The method of  claim 1 , wherein the seismic data collected from the plurality of receivers includes pressure data or particle velocity data. 
     
     
         9 . The method of  claim 1 , wherein reconstructing the time-reversed wavefield data is based on reconstructing a target area of the subterranean formation. 
     
     
         10 . The method of  claim 1 , wherein the vectorized snapshot matrix comprises wave propagation data and absorbing layer values. 
     
     
         11 . A computing system for seismic event localization, the system comprising:
 at least one memory and at least one processor configured for:   generating a vectorized snapshot matrix representing wave propagation data at a series of snapshots in time for a subterranean formation;   computing a reduced orthonormal column basis matrix based on the vectorized snapshot matrix;   constructing a reduced order wave propagation model based on the reduced orthonormal column basis matrix;   receiving seismic data collected from a plurality of receivers at the subterranean formation;   generating a time-domain coefficient matrix based on back propagation of the received seismic data and the reduced order wave propagation model;   reconstructing time-reversed wavefield data based on the time-domain coefficient vector; and   generating signals for outputting wavefield or seismic event location information based on the time-reversed wavefield data.   
     
     
         12 . The system of  claim 11 , wherein computing the reduced orthonormal column basis matrix comprises: singular value decomposition or QR decomposition. 
     
     
         13 . The system of  claim 11 , wherein computing the reduced orthonormal column basis matrix is based on multi-dimensional stress-velocity two-way elastic wave equations: 
       
         
           
             
               
                 
                   ∂ 
                   
                     
                       v 
                       x 
                     
                     ⁡ 
                     
                       ( 
                       t 
                       ) 
                     
                   
                 
                 
                   ∂ 
                   t 
                 
               
               = 
               
                 
                   
                     1 
                     ρ 
                   
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           τ 
                           xx 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       x 
                     
                   
                 
                 + 
                 
                   
                     1 
                     ρ 
                   
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           τ 
                           xz 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       z 
                     
                   
                 
                 + 
                 
                   
                     f 
                     
                       v 
                       x 
                     
                   
                   ⁡ 
                   
                     ( 
                     t 
                     ) 
                   
                 
               
             
           
         
         
           
             
               
                 
                   ∂ 
                   
                     
                       v 
                       z 
                     
                     ⁡ 
                     
                       ( 
                       t 
                       ) 
                     
                   
                 
                 
                   ∂ 
                   t 
                 
               
               = 
               
                 
                   
                     1 
                     ρ 
                   
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           τ 
                           xz 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       x 
                     
                   
                 
                 + 
                 
                   
                     1 
                     ρ 
                   
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           τ 
                           zz 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       z 
                     
                   
                 
                 + 
                 
                   
                     f 
                     
                       v 
                       z 
                     
                   
                   ⁡ 
                   
                     ( 
                     t 
                     ) 
                   
                 
               
             
           
         
         
           
             
               
                 
                   ∂ 
                   
                     
                       τ 
                       xx 
                     
                     ⁡ 
                     
                       ( 
                       t 
                       ) 
                     
                   
                 
                 
                   ∂ 
                   t 
                 
               
               = 
               
                 
                   
                     ( 
                     
                       λ 
                       + 
                       
                         2 
                         ⁢ 
                         μ 
                       
                     
                     ) 
                   
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           v 
                           z 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       x 
                     
                   
                 
                 + 
                 
                   λ 
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           v 
                           z 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       z 
                     
                   
                 
                 + 
                 
                   
                     f 
                     p 
                   
                   ⁡ 
                   
                     ( 
                     t 
                     ) 
                   
                 
               
             
           
         
         
           
             
               
                 
                   ∂ 
                   
                     
                       τ 
                       zz 
                     
                     ⁡ 
                     
                       ( 
                       t 
                       ) 
                     
                   
                 
                 
                   ∂ 
                   t 
                 
               
               = 
               
                 
                   
                     ( 
                     
                       λ 
                       + 
                       
                         2 
                         ⁢ 
                         μ 
                       
                     
                     ) 
                   
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           v 
                           z 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       z 
                     
                   
                 
                 + 
                 
                   λ 
                   ⁢ 
                   
                     
                       ∂ 
                       
                         
                           v 
                           x 
                         
                         ⁡ 
                         
                           ( 
                           t 
                           ) 
                         
                       
                     
                     
                       ∂ 
                       x 
                     
                   
                 
                 + 
                 
                   
                     f 
                     p 
                   
                   ⁡ 
                   
                     ( 
                     t 
                     ) 
                   
                 
               
             
           
         
         
           
             
               
                 
                   
                     ∂ 
                     
                       τ 
                       
                         x 
                         ⁢ 
                         
                           z 
                           ⁡ 
                           
                             ( 
                             t 
                             ) 
                           
                         
                       
                     
                   
                   
                     ∂ 
                     t 
                   
                 
                 = 
                 
                   μ 
                   ⁡ 
                   
                     ( 
                     
                       
                         
                           ∂ 
                           
                             
                               v 
                               x 
                             
                             ⁡ 
                             
                               ( 
                               t 
                               ) 
                             
                           
                         
                         
                           ∂ 
                           z 
                         
                       
                       + 
                       
                         
                           ∂ 
                           
                             
                               v 
                               z 
                             
                             ⁡ 
                             
                               ( 
                               t 
                               ) 
                             
                           
                         
                         
                           ∂ 
                           x 
                         
                       
                     
                     ) 
                   
                 
               
               , 
             
           
         
       
       where τ xx  and τ zz  are the x and z components of the normal stress fields; τ xz  is shear stress field; v x  and v z  are horizontal and vertical components of particle velocity fields; f v     x    and f v     z    are single forces and f p  is an external pressure source 
     
     
         14 . The system of  claim 11 , wherein generating the vectorized snapshot matrix comprises: simulating wave propagations on a set of spatially discretized partial differential equations; and extracting simulated wave propagation data at each snapshot in the series of snapshots in time. 
     
     
         15 . The system of  claim 14 , wherein simulating the wave propagations uses source positions corresponding to locations of physical receivers at the subterranean formation. 
     
     
         16 . The system of  claim 14 , wherein the set of spatially discretized partial differential equations include 2-dimensional stress-velocity two-way elastic wave equations. 
     
     
         17 . The system of  claim 11 , wherein the wave propagation data is generated with a velocity model associated with the subterranean formation. 
     
     
         18 . The system of  claim 11 , wherein the seismic data collected from the plurality of receivers includes pressure data or particle velocity data. 
     
     
         19 . The system of  claim 11 , wherein reconstructing the time-reversed wavefield data is based on reconstructing a target area of the subterranean formation. 
     
     
         20 . The system of  claim 11 , wherein the vectorized snapshot matrix comprises wave propagation data and absorbing layer values.

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