岩土力学2009，Vol.30Issue(11)：3273-3277,5.
Biot固结理论中连续性方程形式的讨论
Discussion on forms of continuum equation for Biot's consolidation
摘要
Abstract
When solving Biot's consolidation equations, different researchers used different continuum equations. The methods Biot M.A. Used to deduce the consolidation equations are firstly reviewed. It can be seen that some mistakes exist in the strain energy density function. In order to derive the correct form of continuum equation, two methods are used here. Firstly, based on the analysis of the deformation of the representative element volume (REV) of the soil, a fluid continuum equation which can take the compressibility of grain and fluid into account is derived. Secondly, based on the method Biot M.A. Used with modified strain energy density, another continuum equation is derived. The continuum equations deduced from the two methods listed above are found to be equivalent. In addition, the equations are compared to the continuum equation derived by other researchers based on mass conservation law, and they are found to be coincident. Then, the right form of fluid continuum equation is proved and the result can provide theoretical support to consolidation calculation.关键词
Biot固结方程/连续性方程/应变能密度/变质量系统Key words
Biot consolidation equation/ continuum equation/ strain energy density/ variable mass system分类
数理科学引用本文复制引用
张凯,周辉,冯夏庭,房敬年,张元刚..Biot固结理论中连续性方程形式的讨论[J].岩土力学,2009,30(11):3273-3277,5.基金项目
国家自然科学基金委员会、二滩水电开发有限责任公司雅砻江水电开发联合研究基金项目(No.50539090、50579091) （No.50539090、50579091）
国家自然科学基金项目(No.10772190) （No.10772190）
国家技术支撑计划项目(No.2006BAB04A06). （No.2006BAB04A06）
