Mathematical Model of Water- and Oil-Soluble Tracers Transfer in Studying Multistage Hydraulic Fracturing

IF 1 4区 工程技术 Q4 MECHANICS
A. B. Mazo, M. R. Khamidullin, K. A. Potashev, A. A. Uraimov
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引用次数: 0

Abstract

A simplified mathematical model of two-phase multicomponent flow in the reservoir— multistage hydraulic fractures—horizontal well system is proposed. The formulation of transport problems in the well and in hydraulic fractures is simplified based on the dimensional analysis and similarity theory. The possibility of transition to a quasi-steady-state problem of distribution of the mixture components in high-permeability hydraulic fractures is shown. The dimension of the problem in reservoir is reduced by decomposing the problem into a set of problems in independent fixed stream tubes. For numerical solution of the problem, the resulting reduction in computer time reaches two orders of magnitude and can be further reduced by using parallel computing. Accelerating the solution of the direct problem is fundamentally necessary for the possibility of solving the inverse problem of identifying the porosity and permeability properties of fractures from the results of interpretation of tracer studies.

Abstract Image

Abstract Image

研究多级水力压裂过程中水溶性和油溶性示踪剂转移的数学模型
摘要 提出了储层-多级水力压裂-水平井系统两相多组分流动的简化数学模型。基于尺寸分析和相似性理论,简化了井内和水力压裂中的运移问题的表述。结果表明,高渗透率水力裂缝中混合物组分的分布问题有可能过渡到准稳态问题。通过将问题分解为一组独立固定流管中的问题,减少了储层中的问题维度。对于问题的数值求解,所需的计算机时间减少了两个数量级,并可通过并行计算进一步减少。加快直接问题的求解速度是解决根据示踪研究的解释结果确定裂缝孔隙度和渗透率属性的逆问题的根本必要条件。
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来源期刊
Fluid Dynamics
Fluid Dynamics MECHANICS-PHYSICS, FLUIDS & PLASMAS
CiteScore
1.30
自引率
22.20%
发文量
61
审稿时长
6-12 weeks
期刊介绍: Fluid Dynamics is an international peer reviewed journal that publishes theoretical, computational, and experimental research on aeromechanics, hydrodynamics, plasma dynamics, underground hydrodynamics, and biomechanics of continuous media. Special attention is given to new trends developing at the leading edge of science, such as theory and application of multi-phase flows, chemically reactive flows, liquid and gas flows in electromagnetic fields, new hydrodynamical methods of increasing oil output, new approaches to the description of turbulent flows, etc.
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