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In some embodiments, a method of monitoring a resin-producing polymerization reaction in a fluid bed reactor system to generate reaction parameter data in on-line fashion, determining an indicator of at least one of entropy and complexity (for example, Kolmogorov or Shannon entropy) of each of at le

In some embodiments, a method of monitoring a resin-producing polymerization reaction in a fluid bed reactor system to generate reaction parameter data in on-line fashion, determining an indicator of at least one of entropy and complexity (for example, Kolmogorov or Shannon entropy) of each of at least two subsets of the reaction parameter data, and optionally also determining from at least one value of the indicator (for example, from a time series of Kolmogorov or Shannon entropy values) an indication of at least one of degree of resin stickiness, an approach to or imminence of resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition (e.g., that can result in sheeting or chunking). Optionally also, the reaction is controlled in response to at least one value of the indicator, for example, in an effort to prevent the occurrence of sheeting or another discontinuity event or to maintain the reactor in a stable, non-sticking condition.

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What is claimed is: 1. A method for monitoring a resin-producing polymerization reaction in a fluidized bed reactor system wherein the reactor system comprises a fluidized bed reactor and a product discharge vessel into which polymer product is discharged from the fluidized bed reactor, the method

What is claimed is: 1. A method for monitoring a resin-producing polymerization reaction in a fluidized bed reactor system wherein the reactor system comprises a fluidized bed reactor and a product discharge vessel into which polymer product is discharged from the fluidized bed reactor, the method including the steps of: (a) monitoring at least one reaction parameter of the reaction to generate in on-line fashion time-domain reaction parameter data, wherein the reaction parameter data includes static data and the monitoring includes measuring product chamber static data indicative of static charge transferred from the polymer product to the product discharge vessel during each of a sequence of intervals; and (b) determining mathematical entropy of each of at least two subsets of the reaction parameter data, each of said subsets of the reaction parameter data including data values in a different one of a sequence of different time intervals. 2. The method of claim 1, wherein the mathematical entropy is Kolmogorov entropy. 3. The method of claim 2, also including the step of: determining from entropy values generated in step (b) at least one indication of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 4. The method of claim 1, wherein the mathematical entropy is Shannon entropy. 5. The method of claim 4, also including the step of: determining from entropy values generated in step (b) at least one indication of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 6. The method of claim 1, wherein the product chamber static data are indicative of static charge transferred to the product discharge vessel during each of a sequence of intervals while said product discharge vessel is filled. 7. The method of claim 1, wherein the product chamber static data comprise data values, each indicative of static charge transferred to the product discharge vessel since said vessel was last emptied. 8. The method of claim 1, wherein the product discharge vessel functions as a Faraday cup during measurement of the product chamber static data. 9. The method of claim 1, also including the step of determining from entropy values generated in step (b) at least one indication of imminent wall sheeting. 10. The method of claim 1, wherein the reaction parameter data generated in step (a) are carryover static data. 11. The method of claim 1, wherein the reaction parameter data generated in step (a) are entrainment static data. 12. The method of claim 1, wherein the reaction parameter data generated in step (a) are acoustic emission data. 13. The method of claim 1, wherein the reaction parameter data generated in step (a) are differential pressure data. 14. The method of claim 1, wherein the reaction parameter data generated in step (a) are high speed reaction parameter data. 15. The method of claim 14, wherein the high speed reaction parameter data are bed temperature data. 16. The method of claim 14, wherein the high speed reaction parameter data are skin temperature data. 17. The method of claim 1, also including the step of: (c) determining from entropy values generated in step (b) at least one indication of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 18. The method of claim 17, wherein step (c) includes the step of generating a signal indicative of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 19. The method of claim 17, wherein step (c) includes the step of generating a display indicative of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 20. The method of claim 17, also including the step of: (d) controlling the reaction in response to the at least one indication determined in step (c). 21. The method of claim 20, wherein step (d) includes the step of adjusting reaction temperature. 22. The method of claim 20, wherein step (d) includes the step of controlling a feed rate of a continuity additive. 23. The method of claim 20, wherein step (d) includes the step of controlling a feed rate of an induced condensing agent. 24. The method of claim 1, also including the step of controlling the reaction in response to at least one mathematical entropy value determined in step (b) in an effort to prevent occurrence of a discontinuity event. 25. The method of claim 1, wherein the reaction polymerizes ethylene and at least one comonomer in the presence of a catalyst selected from a group consisting of Ziegler-Natta, chromium, chromium oxide, AlCl3, cobalt, iron, palladium, and metallocene catalyst. 26. The method of claim 1, wherein the reaction produces polyethylene. 27. The method of claim 1, wherein the reaction produces a polyolefin. 28. A method for monitoring a resin-producing polymerization reaction in a fluidized bed reactor system, including the steps of: (a) monitoring at least one reaction parameter of the reaction to generate in on-line fashion time-domain reaction parameter data wherein the reaction parameter data includes static data; (b) determining an indicator of at least one of entropy and complexity of each of at least two subsets of the reaction parameter data, each of said subsets of the reaction parameter data including data values in a different one of a sequence of different time intervals; and (c) determining, from values of the indicator determined in step (b), at least one indication of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 29. The method of claim 28, wherein the indicator is Kolmogorov entropy. 30. The method of claim 28, wherein the indicator is Shannon entropy. 31. The method of claim 28, wherein the indicator is a Lyapunov exponent. 32. The method of claim 28, wherein the reactor system includes a fluidized bed reactor and a product discharge vessel into which polymer product is discharged from the fluidized bed reactor, and step (a) includes the step of: measuring product chamber static data indicative of static charge transferred from the polymer product to the product discharge vessel during each of a sequence of intervals. 33. The method of claim 32, wherein the product chamber static data are indicative of static charge transferred to the product discharge vessel during each of a sequence of intervals while said product discharge vessel is filled. 34. The method of claim 32, wherein the product chamber static data comprise data values, each indicative of static charge transferred to the product discharge vessel since said vessel was last emptied. 35. The method of claim 32, wherein the product discharge vessel functions as a Faraday cup during measurement of the product chamber static data. 36. The method of claim 32, wherein step (c) includes the step of determining from the values of said indicator at least one indication of imminent wall sheeting. 37. The method of claim 28, wherein the reaction parameter data generated in step (a) are carryover static data. 38. The method of claim 28, wherein the reaction parameter data generated in step (a) are entrainment static data. 39. The method of claim 28, wherein the reaction parameter data generated in step (a) are acoustic emission data. 40. The method of claim 28, wherein the reaction parameter data generated in step (a) are differential pressure data. 41. The method of claim 28, wherein the reaction parameter data generated in step (a) are high speed reaction parameter data. 42. The method of claim 41, wherein the high speed reaction parameter data are skin temperature data. 43. The method of claim 28, wherein step (c) includes the step of generating a signal indicative of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 44. The method of claim 28, wherein step (c) includes the step of generating a display indicative of at least one of degree of resin stickiness, approach to or imminence of resin stickiness, likelihood of imminent resin stickiness, and an approach to or imminence of an unsafe or undesired reactor operating condition that can result in at least one of sheeting and chunking. 45. The method of claim 28, also including the step of: (d) controlling the reaction in response to the at least one indication determined in step (c). 46. The method of claim 45, wherein step (d) includes the step of adjusting reaction temperature. 47. The method of claim 45, wherein step (d) includes the step of controlling a feed rate of a continuity additive. 48. The method of claim 45, wherein step (d) includes the step of controlling a feed rate of an induced condensing agent. 49. The method of claim 28, also including the step of controlling the reaction in response to at least one value of the indicator determined in step (b) in an effort to prevent occurrence of a discontinuity event. 50. The method of claim 28, wherein the reaction polymerizes ethylene and at least one comonomer in the presence of a catalyst selected from a group consisting of Ziegler-Natta, chromium, chromium oxide, AlCl3, cobalt, iron, palladium, and metallocene catalyst. 51. The method of claim 28, wherein the reaction produces polyethylene. 52. The method of claim 28, wherein the reaction produces a polyolefin.