A method for operating a machine component under stress. The method comprises determining a probability of failure PoF(N) of the component as a function of N cycles, selecting a time-based acceptable risk limit for the component and selecting an operational profile for the component, converting the time-based acceptable risk limit to a cycle-based acceptable risk limit using the operational profile, comparing the cycle-based acceptable risk limit with the PoF(N) values to determine an operational status of the component, comparing the cycle-based acceptable risk limit with the PoF(N) values, and operating the machine component responsive to results of the comparing step.

Various embodiments provide systems and methods enabling a user to receive feedback regarding a computer-implemented design of an architectural structure as the user is designing or otherwise modifying the computer-implemented design using a computer-aided design (CAD) software tool. The feedback (hereafter also referred to as “design feedback”) may provide the user with useful analysis information regarding the architectural structure's predicted characteristics (e.g., operational performance, resource consumption, cost, etc.) based on the current state of the computer-implemented design. In particular, daylighting analyses pertinent to the computer-implemented design of the architectural structure can be visually displayed to the user in real or near-real-time.

A fracture model for a hydraulic fracture in a wellbore can be updated and calibrated. Information about a microseismic event can be received from a sensor that is monitoring a subterranean formation. The information can be received subsequent to a fracking fluid being introduced into the formation. An observed geometry of a hydraulic fracture can be determined based on the information and a predicted geometry of the fracture can be determined based on properties of the fracking fluid and a fracture model. The fracture model can be updated using the information about the microseismic event where it is determined that an uncertainty value of the observed geometry does not exceed a pre-set maximum. The uncertainty value can be based on the predicted geometry of the hydraulic fracture.

A fracture model for a hydraulic fracture in a wellbore can be updated and calibrated. Information about a microseismic event can be received from a sensor that is monitoring a subterranean formation. The information can be received subsequent to a fracking fluid being introduced into the formation. An observed geometry of a hydraulic fracture can be determined based on the information and a predicted geometry of the fracture can be determined based on properties of the fracking fluid and a fracture model. The fracture model can be updated using the information about the microseismic event where it is determined that an uncertainty value of the observed geometry does not exceed a pre-set maximum. The uncertainty value can be based on the predicted geometry of the hydraulic fracture.

A design and testing simulation scales an industrial simulation across multiple different processing nodes, and generates a unified view of the distributed industrial simulation based on simulation and graphics data collected from the multiple processing nodes. The system can allow the user to designate different portions of the a digital model of an automation system to be executed on respective different distributed processing nodes, such that each portion of the model is executed on its designated node and the nodes exchange data as necessary to simulate the aggregate automation system as a whole. In order to visualize this aggregated simulation, the design and testing system unifies the distributed portions of the model into a unified three-dimensional presentation at a single node, and this unified view is animated based on data received from the nodes on which the distributed simulation is executed.

A system and method for evaluating the performance of a weapon platform by modeling, simulating, and analyzing all relative aspects of an engagement that would contribute to a fired projectile missing its intended impact point. The present system embodies various aspects as software objects and defines their dependencies and structure using a multi-node tree. The present system uses an imaged based approach to capture the lethality of ammunition, vulnerability of the targets, and results of an engagement scenario. Monte Carlo simulation is used to calculate the outcome statics and to display individual outcomes of the engagement to the user. The resulting product surpasses the capabilities and performance of conventional systems, protects proprietary information, and reduces the amount of time needed to analyze a weapon system.

The invention is a system for predicting emissions of pollutants from a vehicle equipped with an engine using processors (3) to determine emission of pollutants. The processors include a first group of processors (1) for carrying out calculations of chemical kinetics for determining the amounts of chemical compounds present in a chemical reaction in the engine and a second group of processors (2) for carrying out calculations of emission of pollutants simultaneously with the calculation of chemical kinetics, allowing determination of the emission of pollutants from the calculated amounts of chemical compounds. The first group of processors (1) has a global supervisor processor (4) allowing storing data required for the calculations and to distribute the calculations to clusters (5) of processors.

A modeling and simulation environment enables a user to create a model of a stiff chemical or biological system. The stiff chemical or biological system refers to a system that includes at least two or more different time scales of the chemical or biochemical reactions. The modeling and simulation environment also enables the user to solve the stiff chemical or biological system using a leaping algorithm. The leaping algorithm may leap over simulation of the reactions occurring in the time interval to accelerate the simulation of the chemical or biological system. The algorithm maximizes the size of the time interval by adjusting the size of the time interval using a bracketing algorithm.

Methods and systems for modeling and predicting fractures within the subsurface region are provided. The methods and systems use multi-layer models to represent stacks of layered rocks, which are used to evaluate shear tractions caused by the relatively higher lateral strains in a more compliant overlying or underlying adjacent layers. As the lateral strains can induce tensional stresses in the brittle layers that can exceed the rocks tensile strength and fail, the formation of natural fractures may be modeled. Accordingly, the method and system model fractures due to stacking using mechanical rock property information from well logs and simulating the farfield loading conditions using basin history.

Methods and systems for modeling and predicting fractures within the subsurface region are provided. The methods and systems use multi-layer models to represent stacks of layered rocks, which are used to evaluate shear tractions caused by the relatively higher lateral strains in a more compliant overlying or underlying adjacent layers. As the lateral strains can induce tensional stresses in the brittle layers that can exceed the rocks tensile strength and fail, the formation of natural fractures may be modeled. Accordingly, the method and system model fractures due to stacking using mechanical rock property information from well logs and simulating the farfield loading conditions using basin history.