... optimization. optimization problem node midstream oil & gas lineup dynamic pump upstream oil & gas objective function operational limit psig 2224 scenario time step algorithm tank optimizer artificial intelligence constraint flow rate pipeline optimizer tank delivery schedule...

... at each time step. In these situations, it may be useful to use an affine method: = + where is the derivative of evaluated at In this case we need only solve a linear system for SDoLE & ASDoLE methods To have a second-order correct method that has good stability properties we can build a step doubling...

... such direct PQT transfer at every time step. Such direct and rigorous transfer could easily lead to non- convergence. The author experimented a few solutions: Transfer P and Q at alternate time step Set the average of P1 and P2 to P1 Set the average of Q1 and Q2 to Q2 To apply derivative based...

... as its solution method, with a time step of 0.125s, and node size of 151m. A single product was in the line for the duration of the test (OSA), with a density of approximately 868kg/m 3 . The model contained a single leak section bounded by one upstream and one downstream flowmeter, with pressure...

... downstream oil & gas time step integration period imbalance value climate change simulation threshold api 1149 psig 1203 fluid pressure equation fluid temperature ambient temperature temperature change midstream oil & gas brett christie psig 1203 response time Copyright 2012...

... barley psig 1213 production monitoring psig 1213 reservoir surveillance production control heat transfer temperature profile computational cell thermal front pressurization pipe absolute relative difference relative error boundary condition equation short pipe time step production...

... & gas artificial intelligence time step simulation kennedy avenue psig 1109 linefill distillate transition transient simulator terminal PSIG 1109 Configurable Tools for the Pipeline Scheduler Dale Ball, Wolverine Pipeline Company. Paul Dickerson, Energy Solutions International. John Hertel...

... for normal operating conditions. The network model must be discrete, but relatively fine, i.e. with pipe segments in the order of 10 km ~ 6 mi of length and time steps of 1 to 15 minutes. Using a given control schedule simulation starts from an initial state and solves the system of equations for the entire...

... be calculated at each time step. Although implicit1 methods may provide better accuracy and stability, in order to make the procedures and interactions more transparent, an explicit numerical 1 Explicit numerical methods calculate changes from values of the dynamic variables at the beginning of the time step...

... distribution time step accuracy application flow metering pipeline surge operation transient model Transient and Succession-of-Steady-States Pipeline Flow Models Jerry L. Modisette, PhD Consultant Jason P. Modisette, PhD Energy Solutions International, Inc. Introduction Pipelines operations...

... be discretized using small elements. Pipes are sometimes divided into segments from 0.1 to 15 miles and time steps range from a second to an hour. Usually we have detailed models for control valves, compressors, coolers, local control systems etc. Furthermore the forecasted loads and supplies are functions...

... engineering from the University of Sydney moomba production monitoring information production logging boundary condition operator scada time step scada scan production control reservoir surveillance pipeline network simulation gas pipeline network pid file operation midstream oil...

... model transient model roughness boundary pipeline leak detection dispatcher computation pipeline dispatcher vax 11 750 time step scada real time system information scada host midstream oil & gas measurement and control batch submaster upstream oil & gas database software...

... partial differential equation simulation midstream oil & gas flow rate approximation boundary condition transient program result pipeline transient simulation code pipe section time step PIPELINE SIMULATION INTEREST GROUP AN EFFICIENT PROGRAM FOR TRANSIENT FLOW SIMULATION IN NATURAL GAS...

...-linear terms. The scheme is implicitly mass conservative and the temporal terms essentially removes the limitation on the size of the time step common to well known explicit type schemes and removes the need to iteratively solve the non-linear equations common to non-linear implicit schemes...