The full-field solution (FFS) of the seismic radiation from a blasthole is refined with the use of a source function consistent with the shock physics on the detonation shock/rock interface. This source function accounts for the directionality of the flow in the detonation front, that is curved under the influence of the confining rock, inducing on it an oblique shock mostly on axial direction, contrary to current models that consider a radial source. The interaction of the explosive/confiner system is solved with the oblique shock local polar theory. From this analysis, pressure () versus deflection angle () polar curves are constructed and plotted in the - plane. The intersection of the explosive and confiner polar curves corresponds to the possible shock matching solution across the explosive/rock interface, which leads to a shock incident angle. A code has been written in MATLAB to perform the shock polar analysis. The resulting detonation front angle of the explosive with the confiner is considered to build a combined radial/axial source. For this, the displacement potentials for the axial component of the source are formulated and incorporated to the solution. Experimental data from quarry blasting are used to illustrate the application of the FFS model and the calibration of results in terms of attenuation coefficients. The effect of introducing the radial/axial combined source is also discussed.

中文翻译：

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通过倾斜冲击的全场解决方案来估计爆破引起的地面运动

使用与爆震冲击/岩石界面上的冲击物理一致的源函数来细化炮孔地震辐射的全场解 (FFS)。该源函数解释了爆炸前沿流动的方向性，即在围岩的影响下弯曲，在其上引起主要在轴向方向上的倾斜激波，这与考虑径向源的当前模型相反。爆炸/限制系统的相互作用用斜激波局域极理论求解。根据该分析，在 - 平面上构建并绘制了压力 () 与偏转角 () 极坐标曲线。爆炸物和限制器极曲线的交点对应于爆炸物/岩石界面上可能的冲击匹配解，这导致冲击入射角。已在 MATLAB 中编写了代码来执行冲击极性分析。所产生的爆炸物与限制器的爆炸前角被认为构建了组合的径向/轴向源。为此，对源的轴向分量的位移势进行公式化并将其合并到解决方案中。使用采石场爆破的实验数据来说明FFS模型的应用以及衰减系数的结果校准。还讨论了引入径向/轴向组合源的效果。