American Institute of Mining, Metallurgical, and Petroleum Engineers, Inc.


To make steady-state gas pipeline network analysis a useful design and planning tool, it is essential that the planning tool, it is essential that the numerical solution procedure meet two important criteria:

  1. Assurance of rapid solution convergence, and uniqueness, thus economical solution costs and

  2. Flexibility in handling a wide variety of piping, loop, and compressor configurations encountered in gathering and transmission networks.

If these criteria are satisfied, a simulator useful for supply and demand optimization, allocation or proration evaluation and compressor optimization is achievable.

The steady-state methods presented in the existing literature fall in two classes, either direct-explicit replacement schemes or Newton-Raphson iterative methods. The scheme described in this paper is an iterative procedure which employs the connected nature of a network to achieve efficient computer storage and rapid solution for the pressures and volumes in the system. The pressures and volumes in the system. The method for solving complex looped pipe line systems and unconstrained or "loaded horsepower" compressors is developed. The results of this technique are exhibited by the solution of a sample gathering system, with interconnected loops containing large compressors.


As the need for increasingly efficient utilization of natural gas occurs, tools capable of handling the resulting problems are needed. One important area problems are needed. One important area lies in the evaluation of system operations and design for a natural gas pipe line network. Regardless of the task, a rapidly convergent solution scheme for solving the systems of nonlinear equations describing the network is required. Two solution procedures appear to be in general use for the steady-state problem.

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