Publicou 6 edições por ano
ISSN Imprimir: 2152-5080
ISSN On-line: 2152-5099
Indexed in
A STOCHASTIC COLLOCATION APPROACH FOR UNCERTAINTY QUANTIFICATION IN HYDRAULIC FRACTURE NUMERICAL SIMULATION
RESUMO
The exploitation of oil and gas can be stimulated through hydraulic fractures (HF), which are discontinuities in the rock formation induced by the injection of high pressurized viscous fluids. Because there exists considerable variability in geologic formations, such as oil and gas reservoirs, the computational models, and, consequently, the predictions drawn from simulations, might lead to misleading conclusions, despite the use of efficient and robust numerical schemes. In order to take into account uncertainties on the numerical results due to the variability in the input data, a stochastic analysis of HF is presented here. The elasticity modulus of the rock and the confining stress are assumed to be described by random variables, and therefore, the equations governing the fracture propagation are recast as stochastic partial differential equations (SPDEs). In order to solve the resulting problem, among several alternatives available in the literature, a stochastic collocation method is adopted. The elasticity modulus probability distributions are constructed using two different approaches, both using a small amount of information. A number of numerical simulations are presented in order to illustrate the impact of the uncertainties in the data input on the fracture propagation.
-
Cunha Americo, Nasser Rafael, Sampaio Rubens, Lopes Hélio, Breitman Karin, Uncertainty quantification through the Monte Carlo method in a cloud computing setting, Computer Physics Communications, 185, 5, 2014. Crossref
-
Wu Shiang-Jen, Hsu Chih-Tsung, Modeling of uncertainty for flood wave propagation induced by variations in initial and boundary conditions using expectation operator on explicit numerical solutions, International Journal for Numerical Methods in Engineering, 113, 9, 2018. Crossref
-
Kaur Navjot, Goyal Kavita, Hybrid Hermite polynomial chaos SBP-SAT technique for stochastic advection-diffusion equations, International Journal of Modern Physics C, 31, 09, 2020. Crossref
-
Gisler Batoul M., Lian Haojie, Uncertainty Quantification for a Hydraulic Fracture Geometry: Application to Woodford Shale Data, Geofluids, 2021, 2021. Crossref