Reservoir porous medium is random, in terms of oil and gas for low permeability reservoirs. Consider the random nature of the reservoir will enable to improve the accuracy of numerical reservoir simulation. Based on extensive research, for the stochastic nature of the reservoir from the two aspects of physical simulation, numerical simulation, the relevant international studies were reviewed. T...

We investigate simulations of exact solutions of the stochastic Dr. Herman Numerical Realizations of Solutions f the Stochastic KdV Equation Exact Solution of Stochastic KdV Wadati 1983 The One Soliton Solution Under Noise Statistical Averages The Exact Solution for < u(x, t) > via the Diffusion Equation Solving the Diffusion Equation The Damped Stochastic KdV Asymptotics Numerical Simulation o...

Sequential analysis of output data during stochastic discrete-event simulation is a very effective practical way of controlling statistical errors of final simulation results. Such stochastic sequential simulation evolves along a sequence of consecutive checkpoints at which the accuracy of estimates, usually conveniently measured by the relative statistical error, defined as the ratio of the ha...

3 Modelling 5 3.1 Basic model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 3.1.1 Stochastic π-calculus implementation . . . . . . . . . . . . 5 3.1.2 Model parameters and discussion . . . . . . . . . . . . . . 8 3.1.3 Simulation results . . . . . . . . . . . . . . . . . . . . . . 10 3.2 Flytrap model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2.1 Stochastic ...

Circadian rhythms occur in almost all living things, providing an organism with a biological clock that gives an estimate of external time. The phenomenon of entrainment is a particularly interesting property of circadian rhythms in which the period of an organism’s circadian rhythm is adapted to match the natural oscillations of the environment. We applied the technique of stochastic simulatio...

Abstract. We consider the context of “simulation-based recursions,” that is, recursions that involve quantities needing to be estimated using a stochastic simulation. Examples include stochastic adaptations of fixed-point and gradient descent recursions obtained by replacing function and derivative values appearing within the recursion by their Monte Carlo counterparts. The primary motivating s...

With the growing use of computer modeling and simulation, in all aspects of engineering, the scope of traditional optimization has to be extended to include simulation models. Some unique aspects have to be addressed while optimizing via stochastic simulation models. The optimization procedure has to explicitly account for the randomness inherent in the stochastic measures predicted by the mode...

This paper introduces a simple formalism for dealing with deterministic, nondeterministic and stochastic cellular automata in an unified and composable manner. This formalism allows for local probabilistic correlations, a feature which is not present in usual definitions. We show that this feature allows for strictly more behaviors (for instance, number conserving stochastic cellular automata r...