流体饱和多孔介质黏弹性动力人工边界-世界地震工程.pdfVIP

23卷 3期 世 界 地 震 工 程 Vol. 23, No. 3 2007年 9月 W ORLD EARTHQUAKE ENGINEERING Sep. , 2007 : 007- 6069( 2007) 03- 0054-06 王国军 赵成刚 (北京交通大学土木工程学院岩土工程研究所, 北京 00044) : 基于 B iot流体饱和多孔介质本构方程, 采用平面波和远场散射波经验叠加来反映外行波传播, 以经验参数反映人工边界外行波动的衰减和多角度透射特性。在人工边界处分别施加反映固相和液 相介质传播效应的弹簧及阻尼来模拟人工边界以外的无限域介质对来自有限域的外行波的能量的吸 收作用。 而形成一种流体饱和多孔介质的黏弹性动力人工边界。数值算例表明: 边界的精度和稳 定性高于现有的黏性边界、黏弹性人工边界及一阶透射边界。 : 流体饱和多孔介质; 黏弹性动力人工边界; 有限元法 : P3 5 : A V iscus-sp ring dynam ical artificial boundary for saturated porous m edia WANG Guo-jun ZHAO Cheng-gang ( School of Civ il and Architectura lEng ineering, Beij ing Jiaotong University, Beij ing 00044, China) Abs tract: Based on the constitutive equations of saturated porous m edia, th is paper adopts the supermi posing of planew ave and scatteredw ave in far field to smi u late the propagation of the outgoing w aves, and app lies expermi en- tal parameter to decay of outgoing w aves andmu lti-transm itting characteristics. By applying springs and damp to the artificial boundary, the energy absorb ing function of the infin ite domain beyond theABC is realized. Then the vis- cous-spring artificial boundary of saturated porous media is formed. Numerical examp les ind icate that the accuracy and good stab ility of the proposed viscous- spring artificial boundary are higher than that of existing viscous bound- aries, viscous-spring boundaries, the first-order transm itting boundary. K ey w ord s: saturated porous med ia; viscous-spring artificial boundary; finite elem entmethod 1 流体饱和多孔介质在自然界中广泛存在, 一般由固体骨架和固体孔隙中流体组成。当两者之间存在动 力相互作用时, 按两相介质理论比按单相介质理论分析更为科学、