A geostatistical framework for incorporating seismic tomography auxiliary data into hydraulic conductivity estimation

摘要: Abstract A geostatistical approach is presented for the inclusion of seismic tomography data and sonic log into estimation hydraulic conductivity. The procedure accounts errors in inversion correlation such errors. proposed methodology consists two steps: (1) cross-variogram inference carried out using only at wellbore (both seismic); (2) a co-kriging takes cross-well account to interpolate between boreholes. No postulated a- priori relationship needed. In order illustrate synthetic set generated on basis evidence from published case studies simplified physical considerations. numerical experiments show that choice excitation frequency critical. trade-off exists need high-resolution survey (asking higher frequencies) good conductivity properties frequencies below squirt medium). simulation with best (1 kHz this case), mean squared error estimate two-thirds lower than alone. It important note also part interwell region adequately sampled by tomographic experiment. Such can be readily identified calculating energy quasi-null space, through singular value decomposition matrix. planning type experiments, it necessary carefully verify whether adopted range high does not prevent propagating effectively sources receivers.