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Stochastic Seismic Inversion using Waveform and Traveltime Data and Its Application to Time-lapse Monitoring. Youli Quan & Jerry M. Harris Stanford University. November 12, 2008. Outline . Introduction Motivations Kalman filter Seismic inversion with EnKF
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Stochastic Seismic Inversion using Waveform and Traveltime Data and Its Application toTime-lapse Monitoring Youli Quan & Jerry M. Harris Stanford University November 12, 2008
Outline • Introduction • Motivations • Kalman filter • Seismic inversion with EnKF • An example of CO2 storage monitoring • Conclusions
Introduction • Seismic inversion recovers subsurface elastic properties (e.g., acoustic impedance and velocity) from seismic data. • Inversion using both waveform and traveltime improves the estimation of velocity. • Estimation of absolute velocity helps quantitative interpretation of seismic data.
Images of seismic inversion may be more meaningful for interpretation. Impedance Traces Amplitude Traces Seismic Inversion
Deterministic inversion methods normally need less computation. • Stochastic inversion uses more computing power but can integrate other information (e.g., sonic logs.) • Ensemble Kalman Filter (EnKF) is a stochastic method used in this study for seismic inversion.
Motivations to Use EnKF • Seismic monitoring - To integrate time-lapse seismic data - Dynamic imaging • Reservoir characterization - Integration of sonic logs and seismic data
Kalman Filter • Dynamic imaging • Integration of sonic logs and seismic data Kalman gain
Seismic Inversion with EnKF • Define observation function • Create model & data ensembles using their probability distributions d – poststack seismic data in this case
Define observation function Poststack Full waveform Convolution
Estimate model parameters with EnKF K can be simply calculated from the ensemble covariance and observation function It can handle large model and non-linear inverse This is a Monte Carlo approach
An Example of CO2 Storage Monitoring CO2 Sequestration • CO2 sequestration provides a possible solution for reducing the green gas emission to the atmosphere. • For safety and operational reasons, we need to monitor the containment of the CO2 storage in the subsurface.
Creation of Time-lapse Models • Find model parameters from unmineable coalbeds in Powder River Basin • Build a stationary geology model • Run flow simulation with GEM • Convert flow simulation results to time-lapse seismic velocity models
Four time-lapse P-wave velocity modes created based on CO2 flow simulation in the coalbeds. A: time=0; B: time=3 months; C: time=1 year; D: time=3 years.
A Simple Synthetic Test “Observed” data calculated by convolution
Inversion with Waveform Data Inversion with Waveform and Travel Time Data Use constant initial model
A Full Waveform Synthetic Test • Run FD for time-lapse Vp models derived from flow simulation. • Process complete shot gathers and get depth and time images. • Extract wavelet. • Use convolution as the modeling in the inversion. • Perform seismic inversion with EnKF. • Compare the inverted Vp with given models.
Samples of the shot gathers calculated using the finite difference
Time image Depth image Traveltime picks used for the inversion
Time-lapse velocity models inverted using EnKF time=0 time=3 months time= 1 year time=3 years
Vp differences between time-lapse models and base model True Inverted time=3 months time= 1 year time=3 years
A comparison between true model and inverted model Solid black line: Ture model; Dash-dot blue line: inverted model; Dotted yellow line: Initial model; At distance x=500m
A comparison between “observed” data and modeled data Solid line: “Observed” seismic trace Dotted line: Modeled seismic trace from inverted model
Conclusions • The ensemble Kalman filter is a useful tool for stochastic seismic inversion, especially for dynamic inversion in seismic monitoring (field data tests will be done.) • Integrating travetime data into the inversion makes the estimation of absolute velocity possible. • Fast forward modeling and true amplitude processing are essential.
Acknowledgements • We would like to thank the sponsors (ExxonMobil, General Electric, Schlumberger, and Toyota) of Global Climate & Energy Project at Stanford University for their support to this study. • Eduardo Santos, Yemi Arogunmati, and Tope Akinbehinje helped for the creation of time-lapse velocity models.