Mathematical Sciences: Numerical Analysis and Simulation of Reservoir Flows and Waves in Porous Media

数学科学：多孔介质中储层流动和波浪的数值分析与模拟

• 批准号: 8903211
• 负责人: Jim Douglas
• 金额: $ 22.5万
• 依托单位: Purdue Research Foundation
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 1989
• 资助国家: 美国
• 起止时间: 1989-06-01 至 1992-11-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=8903211&HistoricalAwards=false
• 关键词: Mathematical; Sciences; Numerical; Analysis; Simulation

8903211 Douglas The principal investigators will study a variety of problems arising in numerical analysis and its applications to petroleum reservoir engineering and geophysics. In addition, they plan to establish the well-posedness of several models for reservoir simulation, including their derivation via homogenization techniques and the study of their regularity properties. Specifically, many questions related to several types of flows in naturally fractured reservoirs will be studied both theoretically and numerically. Included will be single-phase flows, two-phase immiscible flows, and miscible flows. The implementation of computational models for such flows will be carried out on parallel computers, after the models have been validated on workstations. A model for the propagation of waves in composite media consisting in part of elastic solids and in part of porous material saturated by a multi-phase fluid will be developed, beginning from basic physics and continuing through regularity and numerical approximation. The model will be applied to acoustic well-logging as an extension of current work on the Biot, single-phase model. THe numerical methods will be formulated so that parallel and vector computation is natural.

8903211道格拉斯是首席研究员，他们将研究数值分析及其在石油油藏工程和地球物理中的应用中出现的各种问题。此外，他们计划建立几个油藏模拟模型的适定性，包括通过均化技术推导它们，并研究它们的规律性。具体地说，将从理论和数值两个方面研究与天然裂缝性油藏中几种类型的流动有关的许多问题。包括单相流、两相非混相流和混相流。这种流动的计算模型的实施将在并行计算机上进行，待这些模型在工作站上得到验证之后。从基本物理出发，通过正则性和数值逼近，建立了由弹性固体和多相流体饱和的多孔材料组成的复合介质中波的传播模型。该模型将应用于声波测井，作为目前在Biot单相模型上工作的扩展。数值方法将公式化，以便并行和向量计算是自然的。