用Maple推导单相流体的渗流公式  

Derivation Analytical Solution of the Single-phase Flow in the Porous Media With Maple

作　　者：周波[1] 陶果[2] 

机构地区：[1]黑龙江科技学院,黑龙江哈尔滨150027 [2]中国石油大学,北京102249

出　　处：《测井技术》2005年第6期505-506,510,共3页Well Logging Technology

基　　金：国家高技术研究发展计划海洋资源开发技术领域钻井中途油气层测试技术专题;编号2001AA60201704

摘　　要：测井的物理过程如电磁场、声场、渗流场可用偏微分方程描述。了解这些微分方程在特定条件的解析公式,有助于仪器设计和资料应用。以电缆地层测试过程中的地层渗流过程为例,利用计算机代数系统Maple推导了单相流体在测试过程中压力变化的解析表达式,以图形方式展现了在探针半径不同时压力降与时间的关系。The physical phenomenon of well logging such as electro-magnetic field, acoustic field and percolation field can be described in partial differentiate equations. If we know the close-form analysis formula of them under the particular conditions it is useful for the tool＇s design and data application. In this paper, Maple, the tool of computer algebraic system, is used to derivate the analytical solution about the formation pressure in single-phase flow during the wireline formation testing. Showed is the relationship between the pressure fall and time in the different radius of tool＇s probe.

关 键 词：计算机代数系统 偏微分方程 单相流体 渗流公式 

分 类 号：O241.82[理学—计算数学] P631.83[理学—数学]