Probability functionals, homogenization and comprehensive reservoir simulators

A probability functional method is used to determine the most probable state of a reservoir or other subsurface features. The method is generalized to arrive at a self-consistent accounting of the multiple spatial scales involved by unifying information and homogenization theories. It is known that to take full advantage of the approach (e.g. to predict the spatial distribution of permeability, porosity, multi-phase flow parameters, stress, fracturing) one must embed multiple reaction, transport, mechanical (RTM) process simulators in the computation. A numerical technique is introduced to directly solve the inverse problem for the most probable distribution of reservoir state variables. The method is applied to several two and three dimensional reservoir delineation problems.


Arbitrarily Long Factorizations in Mapping Class Groups
DALYAN, ELİF; Korkmaz, Mustafa; Pamuk, Mehmetcik (2015-01-01)
On a compact oriented surface of genus g with n= 1 boundary components, d1, d2,..., dn, we consider positive factorizations of the boundary multitwist td1 td2 tdn, where tdi is the positive Dehn twist about the boundary di. We prove that for g= 3, the boundary multitwist td1 td2 can be written as a product of arbitrarily large number of positive Dehn twists about nonseparating simple closed curves, extending a recent result of Baykur and Van Horn- Morris, who proved this result for g= 8. This fact has immed...
Elastic-plastic stresses in linearly hardening rotating solid disks of variable thickness
Orcan, Y; Eraslan, Ahmet Nedim (2002-07-01)
The distribution of stress, displacement and plastic strain in a rotating elastic-plastic solid disk of variable thickness in a power function form is investigated. The analysis is based on Tresca's yield condition, its associated flow rule and linear strain hardening material behavior. An analytical solution is obtained and numerical results are presented for different values of the geometric parameters. The validity of the solution is demonstrated by comparing the results with those for a uniform thicknes...
Simulation of water exchange in enclosed water bodies
Ozhan, E; Balas, L (2003-01-01)
A 0-D (box type) mathematical flushing model and a three-dimensional baroclinic numerical model have been presented that are used to simulate transport processes in coastal waters. The numerical model consists of hydrodynamic, transport and turbulence model components. In the hydrodynamic model component, the Navier-Stokes equations are solved with the Boussinesq approximation. The transport model component consists of the pollutant transport model and the water temperature and salinity transport models. In...
Dynamic response analysis of the machine foundations on a nonhomogeneous soil layer
Aşık, Mehmet Zülfü (1999-01-01)
Real modulus of elasticity of the soil usually increases with the depth of the soil due to the increase in overburden pressure. Therefore, incorporation of the effect of the soil inhomogeneity in the formulation to obtain the response of the machine foundations is an important and a necessary step. In this paper, equations that govern the dynamic behavior of the machine foundations and consider the inhomogeneity of the elastic foundation, particularly for Gibson type soil are derived by using variational pr...
Ünlü, Kahraman; BIGGAR, JW; MORKOC, F (Wiley, 1990-11-01)
The knowledge of the statistical parameters of the variance, sigma-2, and the correlation scale, lambda, characterizing the spatial structures of the log of the saturated hydraulic conductivity, lnK(s), pore size distribution parameter alpha, and the specific water capacity, C, is required in stochastic modeling in order to understand the overall response of large-scale heterogenous unsaturated flow systems. These parameters are estimated assuming second-order stationarity and an exponential semivariogram ...
Citation Formats
K. Tuncay, “Probability functionals, homogenization and comprehensive reservoir simulators,” 2002, vol. 131, Accessed: 00, 2020. [Online]. Available: