This paper presents an axisymmetric BEM analysis of layered elastic halfspace with volcano-shaped mantle and cavity under internal gas pressure. The problem is of interest to understand the behavior of volcanoes, tectonic earthquakes and other oil and gas reservoirs. The volcano-shaped mantle ground topography and the internal spherical or ellipsoidal cavity are added to the conventional model of layered halfspace. The analysis uses the axisymmetric boundary element method (BEM) associated with the fundamental solution of a multilayered elastic fullspace subject to the concentrated ring-body force. The BEM is further verified for its high efficiency and accuracy by comparing its result with the analytical and FEM solutions for the problem of a homogeneous elastic halfspace whose spherical cavity is under internal pressure. The BEM is used to examine the effect of the volcano-shaped mantle, the cavity shape, the layered material properties and the internal pressure on the elastic behavior of the halfspace under the internal pressure loading within the cavity. The displacements and stresses at the external and internal boundaries and within the layered halfspace are presented and analyzed in detail. The presence of the volcano-shaped mantle can reduce significantly the swelling ground movement induced by the expansive pressure in the cavity in the layered halfspace. The cavity shape can have significant effect to the location and magnitude of the maximum tensile principal hoop stress on the cavity surface induced by its internal pressure.

本文介绍了在内部气压下具有火山形地幔和空腔的层状弹性半空间的轴对称边界元分析。这个问题对理解火山、构造地震和其他油气藏的行为很有意义。火山形地幔地面地形和内部球形或椭圆形空腔被添加到分层半空间的常规模型中。该分析使用轴对称边界元方法 (BEM)，该方法与受集中环体力作用的多层弹性全空间的基本解相关。通过将其结果与针对球腔处于内压下的均匀弹性半空间问题的解析解和 FEM 解进行比较，进一步验证了边界元法的高效率和准确性。边界元法用于检验火山形地幔、空腔形状、层状材料特性和内压对空腔内压力加载下半空间弹性行为的影响。详细介绍和分析了外部和内部边界以及分层半空间内的位移和应力。火山状地幔的存在可以显着减少层状半空间空腔中膨胀压力引起的膨胀地面运动。腔体形状对腔体表面上由其内部压力引起的最大拉伸主环向应力的位置和大小有显着影响。层状材料特性和内部压力对腔内内部压力载荷下半空间弹性行为的影响。详细介绍和分析了外部和内部边界以及分层半空间内的位移和应力。火山状地幔的存在可以显着减少层状半空间空腔中膨胀压力引起的膨胀地面运动。腔体形状对腔体表面上由其内部压力引起的最大拉伸主环向应力的位置和大小有显着影响。层状材料特性和内部压力对腔内内部压力载荷下半空间弹性行为的影响。详细介绍和分析了外部和内部边界以及分层半空间内的位移和应力。火山状地幔的存在可以显着减少层状半空间空腔中膨胀压力引起的膨胀地面运动。腔体形状对腔体表面上由其内部压力引起的最大拉伸主环向应力的位置和大小有显着影响。详细介绍和分析了外部和内部边界以及分层半空间内的位移和应力。火山状地幔的存在可以显着减少层状半空间空腔中膨胀压力引起的膨胀地面运动。腔体形状对腔体表面上由其内部压力引起的最大拉伸主环向应力的位置和大小有显着影响。详细介绍和分析了外部和内部边界以及分层半空间内的位移和应力。火山状地幔的存在可以显着减少层状半空间空腔中膨胀压力引起的膨胀地面运动。腔体形状对腔体表面上由其内部压力引起的最大拉伸主环向应力的位置和大小有显着影响。