New Developed Mathematical Model for Predicting Viscosity Profile and Proppant Transport Utilizing HVFRs Dosage with Produced Water

2020 ◽  
Author(s):  
Mohammed Ba Geri ◽  
Jerry Noles ◽  
Sangjoon Kim ◽  
Abdulaziz Ellafi
Keyword(s):  
Mathematical Model ◽  
Produced Water ◽  
Proppant Transport ◽  
Viscosity Profile

The Elimination of Trace Arsenic Via Hollow Fiber Supported Liquid Membrane: Experiment and Mathematical Model

2021 ◽  
Author(s):  
Sira Suren ◽  
Watcharapong Ampronpong ◽  
Ura Pancharoen ◽  
Kreangkrai Maneeintr
Keyword(s):  
Mathematical Model ◽  
Hollow Fiber ◽  
Liquid Membrane ◽  
Produced Water ◽  
Feed Solution ◽  
Single Step ◽  
Supported Liquid Membrane ◽  
Synthetic Wastewater ◽  
Aliquat 336 ◽  
Flow Rates

Abstract This work presents the elimination of arsenic ions from synthetic produced water via hollow fiber supported liquid membrane (HFSLM). The effects of extractants, pH of feed solution, strippant solutions, and flow rates of feed and strippant solutions are duly investigated. Results demonstrate that arsenic ions in synthetic wastewater could be treated to comply with the standard of wastewater discharged (< 0.25 mg/L) via HFSLM. Percentages of extraction and stripping proved to be 100% and 98%, respectively. Thus, in a single-step operation, arsenic ions are extracted and stripped, using 0.5 M Aliquat 336 as the extractant, at pH of feed solution of 12, with a mixture of thiourea and hydrochloric acid (0.5 M each) as the synergistic strippant solution, and flow rates of both feed and strippant solutions of 100 mL/min. A mathematical model has also been developed to predict the final concentration of arsenic ions in feed and strippant solutions. The results predicted by the mathematical model fit in well with the experimental results.

Physics of Proppant Transport Through Hydraulic Fracture Network

2018 ◽  
Vol 140 (3) ◽  
Author(s):  
Oliver Chang ◽  
Michael Kinzel ◽  
Robert Dilmore ◽  
John Yilin Wang
Keyword(s):  
Mathematical Model ◽  
Hydraulic Fracture ◽  
Cfd Simulation ◽  
Fluid Dynamic ◽  
Fracture Network ◽  
Fracture Networks ◽  
Horizontal Drilling ◽  
Simulation Tools ◽  
Proppant Transport ◽  
Shale Reservoirs

Horizontal drilling with successful multistage hydraulic fracture treatments is the most widely applied and effective method to enable economic development of hydrocarbon-bearing shale reservoirs. Once fracture networks are established, they must be propped open to maintain pathways for fluid migration through the production phase. As such, the design and application of effective and efficient proppant treatment is considered a key step to successfully develop the targeted resource. Unfortunately, the available literature and simulation tools to describe proppant transport in complex fracture networks are inadequate, and some of the fundamental mechanisms of proppant transport are poorly understood. The present study provides a critical review of relevant published literature to identify important mechanisms of particle transport and related governing equations. Based on that review, a mathematical model was developed to quantitatively predict the transport behavior of proppant particles in model fracture networks. Aspects of this mathematical model are compared against computational fluid dynamic (CFD) simulation, and implications of this work are discussed.

Produced water management - A mathematical model to trade-off economic cost and environmental impact for infrastructure utilisation

2020 ◽  
Author(s):  
Afrah AlEdan ◽  
Tohid Erfani
Keyword(s):  
Water Management ◽  
Mathematical Model ◽  
Environmental Impact ◽  
Oil And Gas ◽  
Produced Water ◽  
Economic Cost ◽  
Gas Production ◽  
Mixed Integer ◽  
Oil And Gas Production ◽  
High Level

&lt;p&gt;This research provides an overview on several areas related to produced water management including cost, treatment methods, recycling options and environmental impact. Produced water is a type of water that has been trapped in different quantities in underground formations. After extracting crude oil and during the production process, the associated water from underground formations is known as produced water. This type of water is by far the largest volume by product or waste stream associated with oil and gas production. It is likely containing high level of total dissolved solids because of its longer residence time under the ground in addition to the smaller &amp;#64258;ow rate&lt;strong&gt;.&lt;/strong&gt; Moreover, many efforts have been paid globally to decrease the high salinity level in produced water by applying desalination technologies as sustainable water management solution.&lt;/p&gt;&lt;p&gt;Oilfield water management is one of the most challenging system and it follows a non-linear relationship between its components. We formulate and develop a mixed-integer mathematical model to a small case study related to Kuwait Oil Company for an optimal design and operations of produced water management. We show how the results allow studying the economic cost as well as environmental impact related to produced water management system.&lt;/p&gt;&lt;p&gt;&amp;#160;&lt;/p&gt;&lt;p&gt;&amp;#160;&lt;/p&gt;

Development of a New Mathematical Model To Quantitatively Evaluate Equilibrium Height of Proppant Bed in Hydraulic Fractures for Slickwater Treatment

SPE Journal ◽  
2018 ◽  
Vol 23 (06) ◽  
pp. 2158-2174 ◽  
Author(s):  
Xiaodong Hu ◽  
Kan Wu ◽  
Xianzhi Song ◽  
Wei Yu ◽  
Lihua Zuo ◽  
...  
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Critical Velocity ◽  
Hydraulic Fracture ◽  
Fracture Propagation ◽  
Hydraulic Fractures ◽  
Proppant Transport ◽  
Fluid Properties ◽  
Equilibrium Height

Summary The proppant bed develops and its height grows until it reaches the critical velocity and equilibrium height. This paper proposes a comprehensive mathematical model to evaluate the equilibrium height for slickwater treatment. We use well-accepted published experimental data and models from other groups to validate our model. After that, we investigate the effects of proppant properties and fluid properties on the equilibrium height. This work can provide critical insights to optimize the design of proppant parameters in a hydraulic fracture. Meanwhile, this model can be incorporated into fracture-propagation simulators for simulating proppant transport.

scholarly journals Non-Isothermal Treatment of Oily Waters Using Ceramic Membrane: A Numerical Investigation

Energies ◽  
2020 ◽  
Vol 13 (8) ◽  
pp. 2092
Author(s):  
Hortência L. F. Magalhães ◽  
Gicelia Moreira ◽  
Ricardo S. Gomez ◽  
Túlio R. N. Porto ◽  
Balbina R. B. Correia ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Produced Water ◽  
Ceramic Membrane ◽  
Membrane Separation ◽  
Fluid Dynamic ◽  
Flow Behavior ◽  
Isothermal Treatment ◽  
Water Separation ◽  
Oil Water Separation ◽  
Oil Concentration

Currently, the oil industry deals with the challenge of produced-water proper disposal, and the membrane-separation technology appears as an important tool on the treatment of these waters. In this sense, this work developed a mathematical model for simulating the oil/water separation by a ceramic membrane. The aim was to investigate the thermal aspects of the separation process via computational fluid dynamic, using the Ansys CFX® 15 software (15, Ansys, Inc., Canonsburg, PA, USA). Oil concentration, pressure, and velocity distributions, as well as permeation velocity, are presented and analyzed. It was verified that the mathematical model was capable of accurately representing the studied phenomena and that temperature strongly influences the flow behavior.

scholarly journals The elimination of trace arsenic via hollow fiber supported liquid membrane: experiment and mathematical model

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Sira Suren ◽  
Watcharapong Ampronpong ◽  
Ura Pancharoen ◽  
Kreangkrai Maneeintr
Keyword(s):  
Mathematical Model ◽  
Hollow Fiber ◽  
Industrial Wastewater ◽  
Liquid Membrane ◽  
Produced Water ◽  
Feed Solution ◽  
Single Step ◽  
Supported Liquid Membrane ◽  
Synthetic Wastewater ◽  
Aliquat 336

AbstractThis work presents the elimination of arsenic ions from synthetic produced water via hollow fiber supported liquid membrane (HFSLM). Results demonstrate that arsenic ions in synthetic wastewater can be successfully treated to meet the wastewater standard as formulated by the Ministry of Industry and the Ministry of Natural Resources and Environment, Thailand. The discharged limit of arsenic from industrial wastewater must not be greater than 250 ppb. In a single-step operation, arsenic ions are extracted and stripped. Percentages of extraction and stripping proved to be 100% and 98%, respectively. Optimum conditions found proved to be 0.68 M Aliquat 336 dissolved in toluene as the liquid membrane, at pH 12 of feed solution, having a mixture of HCl and thiourea as the synergistic strippant, and flow rates of both feed and strippant solutions of 100 mL/min. A mathematical model, developed to predict the final concentration of arsenic ions in feed and strippant solutions, is seen to fit in well with the experimental results.

Mathematical model of hit phenomena and its application to movie advertisement

2008 ◽  
Author(s):  
Ishii Akira ◽  
Yoshida Narihiko ◽  
Hayashi Takafumi ◽  
Umemura Sanae ◽  
Nakagawa Takeshi
Keyword(s):  
Mathematical Model
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