Details
| Original language | English |
|---|---|
| Title of host publication | 47th US Rock Mechanics / Geomechanics Symposium 2013 |
| Pages | 3000-3006 |
| Number of pages | 7 |
| Publication status | Published - 2013 |
| Externally published | Yes |
| Event | 47th US Rock Mechanics / Geomechanics Symposium 2013 - San Francisco, CA, United States Duration: 23 Jun 2013 → 26 Jun 2013 |
Publication series
| Name | 47th US Rock Mechanics / Geomechanics Symposium 2013 |
|---|---|
| Volume | 4 |
Abstract
We present a parameter estimation method for a quasi-stationary multiphysics problem in subsurface modeling. Specifically, the modeling part for the state equation is based on the coupled Biot-Lamé-Navier system in order to describe the interaction between some pay-zone and a non-overlapping non-pay regime. The coupled system for the state is formulated within a variational monolithically-coupled framework. We propose an iterative stochastic ensemble method (ISEM) to estimate material coefficients such as permeability coefficients in the pay-zone or Lamé parameters in the non-pay zone. ISEM is based on stochastic estimation of gradients using an ensemble of directional derivatives within a Gauss-Newton iteration. The resulting update equation resembles the update step in ensemble Kalman filter. However, the inverse of the output covariance matrix in the update equation is regularized using standard truncated singular value decomposition. The proposed algorithm treats the forward simulator as a blackbox and avoids explicit derivation of the adjoint equations, which is major task for nonstationary systems. Our forward formulation and parameter estimation method are validated by some numerical tests including an extension of Mandel's problem.
ASJC Scopus subject areas
- Earth and Planetary Sciences(all)
- Geotechnical Engineering and Engineering Geology
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47th US Rock Mechanics / Geomechanics Symposium 2013. 2013. p. 3000-3006 (47th US Rock Mechanics / Geomechanics Symposium 2013; Vol. 4).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Parameter estimation for the coupled Biot-Lamé-Navier problem in subsurface modeling
AU - Wick, Thomas
AU - Elsheikh, Ahmed H.
AU - Wheeler, Mary F.
N1 - Copyright: Copyright 2014 Elsevier B.V., All rights reserved.
PY - 2013
Y1 - 2013
N2 - We present a parameter estimation method for a quasi-stationary multiphysics problem in subsurface modeling. Specifically, the modeling part for the state equation is based on the coupled Biot-Lamé-Navier system in order to describe the interaction between some pay-zone and a non-overlapping non-pay regime. The coupled system for the state is formulated within a variational monolithically-coupled framework. We propose an iterative stochastic ensemble method (ISEM) to estimate material coefficients such as permeability coefficients in the pay-zone or Lamé parameters in the non-pay zone. ISEM is based on stochastic estimation of gradients using an ensemble of directional derivatives within a Gauss-Newton iteration. The resulting update equation resembles the update step in ensemble Kalman filter. However, the inverse of the output covariance matrix in the update equation is regularized using standard truncated singular value decomposition. The proposed algorithm treats the forward simulator as a blackbox and avoids explicit derivation of the adjoint equations, which is major task for nonstationary systems. Our forward formulation and parameter estimation method are validated by some numerical tests including an extension of Mandel's problem.
AB - We present a parameter estimation method for a quasi-stationary multiphysics problem in subsurface modeling. Specifically, the modeling part for the state equation is based on the coupled Biot-Lamé-Navier system in order to describe the interaction between some pay-zone and a non-overlapping non-pay regime. The coupled system for the state is formulated within a variational monolithically-coupled framework. We propose an iterative stochastic ensemble method (ISEM) to estimate material coefficients such as permeability coefficients in the pay-zone or Lamé parameters in the non-pay zone. ISEM is based on stochastic estimation of gradients using an ensemble of directional derivatives within a Gauss-Newton iteration. The resulting update equation resembles the update step in ensemble Kalman filter. However, the inverse of the output covariance matrix in the update equation is regularized using standard truncated singular value decomposition. The proposed algorithm treats the forward simulator as a blackbox and avoids explicit derivation of the adjoint equations, which is major task for nonstationary systems. Our forward formulation and parameter estimation method are validated by some numerical tests including an extension of Mandel's problem.
UR - http://www.scopus.com/inward/record.url?scp=84892853985&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:84892853985
SN - 9781629931180
T3 - 47th US Rock Mechanics / Geomechanics Symposium 2013
SP - 3000
EP - 3006
BT - 47th US Rock Mechanics / Geomechanics Symposium 2013
T2 - 47th US Rock Mechanics / Geomechanics Symposium 2013
Y2 - 23 June 2013 through 26 June 2013
ER -