This study investigated a novel application of forward osmosis (FO) for oilfield produced water treatment from the East Baghdad oilfield affiliated to the Midland Oil Company (Iraq). FO is a part of a zero liquid discharge system that consists of oil skimming, coagulation/flocculation, forward osmosis, and crystallization. Treatment of oilfield produced water requires systems that use a sustainable driving force to treat high-ionic-strength wastewater and have the ability to separate a wide range of contaminants. The laboratory-scale system was used to evaluate the performance of a cellulose triacetate hollow fiber CTA-HF membrane for the FO process. In this work, sodium chloride solution was used as a feed solution (FS) with a concentration of 76 g/L, while the draw solution (DS) was magnesium chloride solution, and the applied external pressure on the feed solution side was 2 bar. The impact of batch mode with a constant DS concentration (or continuous mode) and batch mode with dilution draw solution concentration (240, 300, and 400 g/L) on the FO performance for oilfield produced water treatment were investigated on normalized flux, recovery, feed solution concentration, reverse salt flux, and rejection. The recovery and feed solution concentration increased with increasing draw solution concentration and time. While the normalized flux increased with increasing the draw solution concentration and decreased with time. The reverse salt flux of Mg2+ and the rejection of Na+ decreased with time. The produced water feed solution was concentrated to 220 g/L at DS concentration of 400 g/L MgCl2 in batch mode with a constant DS concentration after 16.5 h at which the recovery was 65.67%. The reverse salt flux of Mg2+ was 0.06 g/m2 h after 10 h, at which the rejection of Na+ reaches 99.84%.
Maximum likelihood estimation method, uniformly minimum variance unbiased estimation method and minimum mean square error estimation, as classical estimation procedures, are frequently used for parameter estimation in statistics, which assuming the parameter is constant , while Bayes method assuming the parameter is random variable and hence the Bayes estimator is an estimator which minimize the Bayes risk for each value the random observable and for square error lose function the Bayes estimator is the posterior mean. It is well known that the Bayesian estimation is hardly used as a parameter estimation technique due to some difficulties to finding a prior distribution.
The interest of this paper is that
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