Uncertainty Analysis in the Multi-Objective Optimization of Hydraulic Fracture

Author(s):  
Juliana Souza Baioco ◽  
Breno Pinheiro Jacob ◽  
Luis Felipe Mazadiego

Abstract Unconventional reservoirs have become an important resource for hydrocarbons. The production of this type of reservoir is only feasible from massive stimulation. In this context, the study of hydraulic fracturing becomes important. The present work has the objective of evaluating the influence of reservoir parameters that are uncertain, in the optimization of hydraulic fracturing. The parameters that will be evaluated are: drainage radius, permeability, net-pay, temperature and pressure of the reservoir. The optimization model uses evolutionary algorithms to maximize the production of the fractured well and minimize the fracture cost.

2021 ◽  
Author(s):  
Nguyen Dung ◽  
Cramer David ◽  
Danielson Tom ◽  
Snyder Jon ◽  
Roussel Nico ◽  
...  

Abstract Water hammer is oscillatory pressure behavior in a wellbore resulting from the inertial effect of flowing fluid being subjected to an abrupt change in velocity. It is commonly observed at the end of large-scale hydraulic fracturing treatments after fluid injection rate is rapidly reduced or terminated. In this paper, factors affecting treatment-related water hammer behavior are disclosed, and field studies are introduced correlating water hammer characteristics to fracture intensity and well productivity. A simulator based on fundamental fluid-mechanics concepts was developed to model water hammer responses for various wellbore configurations and treatment characteristics. Insight from the modeling work was used to develop an optimal process of terminating fluid injection to obtain a consistent, identifiable oscillatory response for evaluating water hammer periodicity, decay rate, and oscillatory patterns. A completion database was engaged in a semi-automated process to evaluate numerous treatments. A data screening method was developed and implemented for enhancing interpretation reliability. Derived water hammer components were correlated to fracture intensity, well productivity and in certain cases, loss of treatment confinement to the intended treatment interval. Using the above process, thousands of hydraulic fracturing treatments were evaluated, and the results of that work are included in this study. The treatments were performed in wells based in Texas, South America, and Canada and completed in low permeability and unconventional reservoirs. The water hammer decay rate was determined to be a reliable indication of the system friction (friction in the wellbore and hydraulic fracture network) that drains energy from the water hammer pulse. In unconventional reservoirs characterized by small differences in the minimum and maximum horizontal stresses, high system friction correlated positively with fracture intensity/complexity and well performance. Results were constrained with instantaneous shut-in pressure (ISIP) and pressure falloff measurements to identify instances of direct communication with previously treated offset wellbores. The resulting analyses provided: – identification of enhanced-permeability intervals – indications of hydraulic fracture geometry – assessment of treatment modifications intended to enhance fracture complexity – identification of loss of treatment confinement to the intended interval – location of associated points of failure in the wellbore Topics covered in the paper include: Introduction  Joukowsky Equation  Period and Boundary Conditions Review of Prior Work on Water Hammer Analysis Shut-In Pressure Data, Analysis, and Model  Data collection frequency  Data issues and requirements  Water Hammer Analytical Method  Water Hammer Model Effects on Water hammer signature  Fluid properties  Step-down rate change and duration  Perforation friction Applications  Identification of Boundary Condition  Identification of Treatment Stage Isolation  Identification of Casing Failure Depth  Identification of Excess Period (Excess Length) Case Study – Water Hammer Data in an Unconventional Reservoir  Interpretation of frac geometry and friction in the fracture  Relationship to well productivity


Author(s):  
Mohamed Ali Khalil ◽  
Abdunaser Omar Susi

This study aims to provide a comprehensive review of all hydraulic fracture geometry modeling techniques available in the conventional and unconventional reservoirs. We are introducing a comparison study between major available hydraulic fracture modeling techniques, advantages, and disadvantages of each one according to the latest related studies. The study includes the three general families of models: 2D models, pseudo-3D models, and fully 3D models. Consequently, the results of this work can be used for selecting the proper model to simulate or stimulate the reservoir to enhance oil recovery using hydraulic fracturing. Also, these results can be used for any future updates related to hydraulic fracturing stimulation based on the comparisons that were conducted.


2019 ◽  
Vol 7 (3) ◽  
Author(s):  
Seyed Mahmood Hashemi

Because of the significant role of Cyber-Physical Systems (CPSs) in our lives, the security of these systems is of paramount importance. Due to the complexity of inside CPSs components, current methods need special skills to understand their workflow. The approach available in this regard, more than comfortability, have the ability to adapt to the network conditions. In this research, we present the secure routing problem of CPSs as a multi-objective optimization model and then solve it through three Evolutionary Algorithms (EAs). The main reason four using EA is that it allows satisfying the time constraints in the routing. Multi-objective optimization produces optimum values for objectives simultaneously.


2021 ◽  
Vol 13 (4) ◽  
pp. 1929
Author(s):  
Yongmao Xiao ◽  
Wei Yan ◽  
Ruping Wang ◽  
Zhigang Jiang ◽  
Ying Liu

The optimization of blank design is the key to the implementation of a green innovation strategy. The process of blank design determines more than 80% of resource consumption and environmental emissions during the blank processing. Unfortunately, the traditional blank design method based on function and quality is not suitable for today’s sustainable development concept. In order to solve this problem, a research method of blank design optimization based on a low-carbon and low-cost process route optimization is proposed. Aiming at the processing characteristics of complex box type blank parts, the concept of the workstep element is proposed to represent the characteristics of machining parts, a low-carbon and low-cost multi-objective optimization model is established, and relevant constraints are set up. In addition, an intelligent generation algorithm of a working step chain is proposed, and combined with a particle swarm optimization algorithm to solve the optimization model. Finally, the feasibility and practicability of the method are verified by taking the processing of the blank of an emulsion box as an example. The data comparison shows that the comprehensive performance of the low-carbon and low-cost multi-objective optimization is the best, which meets the requirements of low-carbon processing, low-cost, and sustainable production.


2021 ◽  
pp. 014459872198899
Author(s):  
Weiyong Lu ◽  
Changchun He

Directional rupture is one of the most important and most common problems related to rock breaking. The goal of directional rock breaking can be effectively achieved via multi-hole linear co-directional hydraulic fracturing. In this paper, the XSite software was utilized to verify the experimental results of multi-hole linear co-directional hydraulic fracturing., and its basic law is studied. The results indicate that the process of multi-hole linear co-directional hydraulic fracturing can be divided into four stages: water injection boost, hydraulic fracture initiation, and the unstable and stable propagation of hydraulic fracture. The stable expansion stage lasts longer and produces more microcracks than the unstable expansion stage. Due to the existence of the borehole-sealing device, the three-dimensional hydraulic fracture first initiates and expands along the axial direction in the bare borehole section, then extends along the axial direction in the non-bare hole section and finally expands along the axial direction in the rock mass without the borehole. The network formed by hydraulic fracture in rock is not a pure plane, but rather a curved spatial surface. The curved spatial surface passes through both the centre of the borehole and the axial direction relative to the borehole. Due to the boundary effect, the curved spatial surface goes toward the plane in which the maximum principal stress occurs. The local ground stress field is changed due to the initiation and propagation of hydraulic fractures. The propagation direction of the fractures between the fracturing boreholes will be deflected. A fracture propagation pressure that is greater than the minimum principle stress and a tension field that is induced in the leading edge of the fracture end, will aid to fracture intersection; as a result, the possibility of connecting the boreholes will increase.


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