System And Method For Forming Bonded Substrates
US-2015367340-A1 · Dec 24, 2015 · US
US11940384B2 · US · B2
| Field | Value |
|---|---|
| Publication number | US-11940384-B2 |
| Application number | US-202217951721-A |
| Country | US |
| Kind code | B2 |
| Filing date | Sep 23, 2022 |
| Priority date | Apr 21, 2016 |
| Publication date | Mar 26, 2024 |
| Grant date | Mar 26, 2024 |
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Devices and methods for determining the cumulative distribution of a polymer property in a reactor without physical separation of reaction subcomponents. The device includes a means of measuring an instantaneous property of the polymers being produced in a reaction vessel a plurality of times during a polymerization reaction as well as a means of determining the corresponding change in polymer concentration in the reaction vessel between measurements of the instantaneous polymer property. The device also includes a means of computing a statistical distribution appropriate to the polymer characteristic and applying the statistical distribution to a recently measured instantaneous value of the polymer property so as to have an instantaneous distribution of the polymer property and a means of adding together the instantaneous distributions of the polymer property in order to obtain the cumulative distribution of the polymer property in the reactor.
Opening claim text (preview).
We claim: 1. A method comprising: monitoring an instantaneous average property of polymers being produced by a polymerization reaction occurring in a reaction vessel a plurality of times during the polymerization reaction; determining a corresponding change in polymer concentration in the reaction vessel based at least in part on successive measurements of the instantaneous average property of the polymers; computing an instantaneous polymer property distribution corresponding to the most recently measured instantaneous average property using a statistical distribution; and adding together the instantaneous distributions of the polymer with their amplitudes proportional to the change in polymer concentration between successive values of instantaneous average polymer property, to obtain a cumulative polymer property distribution of up to the latest measured value of the instantaneous average polymer property and change in polymer concentration. 2. The method according to claim 1 , wherein the instantaneous average property is obtained using an ACOMP system. 3. The method according to claim 1 , further comprising the use of the instantaneous polymer property distribution and cumulative polymer property distribution to monitor a polymerization reaction. 4. The method according to claim 1 , further comprising the use of the instantaneous polymer property distribution and cumulative polymer property distribution to control a polymerization reaction. 5. The method according to claim 1 , further comprising the use of the cumulative polymer property distribution to provide analytical characterization of the final polymer product. 6. The method according to claim 1 , wherein the property of the polymers is selected from the group consisting of: molecular weight, intrinsic viscosity, and comonomer composition. 7. The method according to claim 1 , wherein the monitoring an instantaneous average property of polymers being produced by a polymerization reaction occurring in a reaction vessel a plurality of times during the polymerization reaction comprises: measuring polymer concentration and a cumulative average property of polymers being produced by a polymerization reaction occurring in a reaction vessel a plurality of times during the polymerization reaction; and deriving the instantaneous average property of polymers based upon the measured cumulative average property and polymer concentration. 8. A method comprising: monitoring an instantaneous weight average molecular weight (Mw,inst) of polymers being produced by a polymerization reaction occurring in a reaction vessel a plurality of times during the polymerization reaction; determining a corresponding change in polymer concentration ΔCp in the reaction vessel based at least in part on successive values of the instantaneous weight average molecular weight; generating an instantaneous molecular weight distribution (IMWD) at the change in the polymer concentration ΔCp by using the instantaneous weight average molecular weight as the mean for the IMWD; computing a histogram of instantaneous weight average molecular weight distributions (IMWDs), with the amplitude of the IMWDs proportional to the change in polymer concentration between successive values of instantaneous weight average molecular weight; and computing a cumulative molecular weight distribution (CMWD) based on the histogram using a statistical distribution appropriate to the polymerization reaction. 9. The method according to claim 8 , wherein monitoring the instantaneous weight average molecular weight comprises minimizing the effect of measurement noise in the analog output signal using a derivative algorithm. 10. The method according to claim 9 , wherein the derivative algorithm comprises computing instantaneous weight average molecular weight, M w,inst , according to: M w , inst = d ( c p M w ) d c p ≈ ( c p M w ) ( t - τ , … , t ) _ - ( c p M w ) ( t - Δ t , … , t - Δ t + τ ) _
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