Unconventional Reservoir Management Modeling Coupling Diffusive Zone/Phase Field Fracture Modeling and Fracture Probability Maps
- Mary F. Wheeler (The University of Texas at Austin, USA) | Sanjay Srinivasan (Pennsylvania State University, USA) | Sanghyun Lee (Florida State University, USA) | Manik Singh (Pennsylvania State University, USA)
- Document ID
- Society of Petroleum Engineers
- SPE Reservoir Simulation Conference, 10-11 April, Galveston, Texas, USA
- Publication Date
- Document Type
- Conference Paper
- 2019. Society of Petroleum Engineers
- 2.4 Hydraulic Fracturing, 2 Well completion, 5 Reservoir Desciption & Dynamics, 5.8.6 Naturally Fractured Reservoir, 1.10 Drilling Equipment, 4.1.2 Separation and Treating, 4.1 Processing Systems and Design, 1.10 Drilling Equipment, 4 Facilities Design, Construction and Operation, 3 Production and Well Operations, 5.8 Unconventional and Complex Reservoirs
- phase field, multi-stage, probability map, hydraulic fracture, unconventional reservoir
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- 104 since 2007
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Optimal design of hydraulic fractures is controlled by the distribution of natural fractures in the reservoir. Due to sparse information, there is uncertainty associated with the prediction of the natural fracture system. Our objective here is to: i) Quantify uncertainty associated with prediction of natural fractures using micro-seismic data and a Bayesian model selection approach, and ii) Use fracture probability maps to implement a finite element phase-field approach for modeling interactions of propagating fractures with natural fractures.
The proposed approach employs state-of-the-art numerical modeling of natural and hydraulic fractures using a diffusive adaptive finite element phase-field approach. The diffusive phase field is defined using the probability map describing the uncertainty in the spatial distribution of natural fractures. That probability map is computed using a model selection procedure that utilizes a suite of prior models for the natural fracture network and a fast proxy to quickly evaluate the forward seismic response corresponding to slip events along fractures. Employing indicator functions, diffusive fracture networks are generated utilizing an accurate computational adaptive mesh scheme based on a posteriori error estimators.
The coupled algorithm was validated with existing benchmark problems which include prototype computations with fracture propagation and reservoir flows in a highly heterogeneous reservoir with natural fractures. Implementation of a algorithm for computing fracture probability map based on synthetic micro-seismic data mimicking a Fort Worth basin data set reveals consistency between the interpreted fracture sets and those observed in the reference. Convergence of iterative solvers and numerical efficiencies of the methods were tested against different examples including field-scale problems. Results reveal that the interpretation of uncertainty pertaining to the presence of fractures and utilizing that uncertainty within the phase field approach to simulate the interactions between induced and natural fracture yields complex structures that include fracture branching, fracture hooking etc.
The novelty of this work lies in the efficient integration of the phase-field fracture propagation models to diffusive natural fracture networks with stochastic representation of uncertainty associated with the prediction of natural fractures in a reservoir. The presented method enables practicing engineers to design hydraulic fracturing treatment accounting for the uncertainty associated with the location and spatial variations in natural fractures. Together with efficient parallel implementation, our approach allows for cost-efficient approach to optimizing production processes in the field.
|File Size||2 MB||Number of Pages||17|
Amor, H., Marigo, J.-J., and Maurini, C., 2009. Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments. Journal of Mechanics Physics of Solids, 57: 1209-1229. 10.1016/j.jmps.2009.04.011.
Bangerth, W., Heister, T., Heltai, L., Kanschat, G., Kronbichler, M., Maier, M., Turcksin, B., and Young, T. D., 2013. The deal.ii library, version 8.1. arXiv preprint http://arxiv.org/abs/1312.2266v4.
Castelletto, N., White, J. A., and Tchelepi, H. A., 2015. Accuracy and convergence properties of the fixed-stress iterative solution of twoway coupled poromechanics. International Journal for Numerical and Analytical Methods in Geomechanics, 39 (14): 1593-1618. 10.1002/nag.2400.
Lee, S., Mikelic, A., Wheeler, M. F., and Wick, T., 2016a. Phase-field modeling of proppant-filled fractures in a poroelastic medium. Computer Methods in Applied Mechanics and Engineering, -. http://dx.doi.org/10.1016/j.cma.2016.02.008.
Lee, S., Reber, J. E., Hayman, N. W., and Wheeler, M. F., 2016b. Investigation of wing crack formation with a combined phase-field and experimental approach. Geophysical Research Letters, 43 (15): 7946-7952. 10.1002/2016GL069979.
Lee, S., Wheeler, M. F., and Wick, T., 2016c. Iterative coupling of flow, geomechanics and adaptive phase-field fracture including blue level-set crack width approaches. Journal of Computational and Applied Mathematics. http://dx.doi.org/10.1016/j.cam.2016.10.022.
Lee, S., Wheeler, M. F., Wick, T., and Srinivasan, S., 2016e. Initialization of phase-field fracture propagation in porous media using probability maps of fracture networks. Mechanics Research Communications. http://dx.doi.org/10.1016/j.mechrescom.2016.04.002.
Mikelic, A., Wang, B., and Wheeler, M. F., 2014. Numerical convergence study of iterative coupling for coupled flow and geomechanics. Computational Geosciences, 18 (3-4): 325-341. 10.1007/s10596-013-9393-8.