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待钻井处钻前油层压力预测的数学模型及求解
引用本文:王玉学,周瑞芬.待钻井处钻前油层压力预测的数学模型及求解[J].数学的实践与认识,2005,35(11):33-37.
作者姓名:王玉学  周瑞芬
作者单位:1. 大庆石油学院数学系,黑龙江,大庆,163318
2. 大庆石油学院机械系,黑龙江,大庆,163318
基金项目:国家自然科学基金项目资助(10172028)
摘    要:根据所研究问题的特点,将地下三相流体假设为单相流体,再利用渗流理论建立了确定地下流体压力的数学模型,并讨论了数值求解方法.当钻井前准备要采用某一注采方案时,利用此数学模型可以求得待钻井处各油层流体压力在不同时刻的值,这为评价该注采方案的优劣及进一步确定最优注采方案提供了科学依据.最后利用此模型对实际问题进行了模拟计算,验证了模型的正确性和计算的可靠性.

关 键 词:渗流  单相流体  数学模型  注采方案
修稿时间:2005年4月4日

Solving of Mathematical Model of Forecasting Oil Layer Pressure before Drilling at Undrilling Well Spots
WANG Yu-xue,ZHOU Rui-fen.Solving of Mathematical Model of Forecasting Oil Layer Pressure before Drilling at Undrilling Well Spots[J].Mathematics in Practice and Theory,2005,35(11):33-37.
Authors:WANG Yu-xue  ZHOU Rui-fen
Institution:WANG Yu-xue~1,ZHOU Rui-fen~2
Abstract:On the basis of characteristic of problem,three-phase fluid body is supposed as one-phase fluid body,mathematical model of determining fluid pressure is established by utilizing seepage theory,and numerical algorithm is discussed.When adopting a injection production strategy before drilling,we can solve fluid pressure of every layer at every time under undrilling wells by this model.It provides science basis for evaluating the injection production strategy scheme and getting an optimum scheme.Correction of the model and reliability of algorithm are illustrated by processing the practical data.
Keywords:seepage  one-phase fluid body  mathematical model  injection-production strategy
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