By Shahab D. Mohaghegh (Ed.), Saud M. Al-Fattah (Ed.), Andrei S. Popa (Ed.)

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20. : “An Investigation Into the Application of Fuzzy Logic to W ell Stimulation T reatment Design,” paper SPE 27672 presented at the 1994 SPE Permian Basin Oil and Gas Recovery Conference, Midland, Texas, 16–18 March. 21. : “Fuzzy Logic Contr ols Pressure in Fracturing Fluid Characterization Facility,” paper SPE 28239 pr esented at the 1994 SPE Petroleum Computer Conference, Dallas, 31 July–3 August. 22. : “Development of an Intelligent Systems Appr oach to Restimulation Candidate Selection,” paper SPE 59767 pr esented at the 2000 SPE Gas Technology Symposium, Calgary, 3–5 April.

Propagation as the learning algorithm. The key idea in this algorithm is that the error (difference between computed and actual output) at the output layer is propagated backward through the net with credit-assignment strategy. This means that the weight in each link is changed by an amount proportional to the error it brings to the output layer. k(Ik)Oj. .......................... (3) The left side of Eq. 3 is the weight change within a link between Layers k andj. Note that,on the right side of Eq.

Thus, each approach has strengths and limitations. , rule-based systems) assume a symbolic approach to describe intelligence. Such Copyright t 993 Society of Petroleum Engineers SPE Formation Evaluation, September 1993 paradigms assume that such means as rules or algorithms are available that can be encoded into a computer to solve a problem. , the solution) can be mapped into a procedure. The fundamental limitation of this approach is that it cannot be used to solve problems for which a solution procedure does not exist or cannot be found.

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