Libyan Desert Glass contains meteoritic material and, therefore, its origin is most likely associated with an impact event. However, the impact crater has not been found. We performed numerical simulations of impacts of stony and cometary bodies in order to confirm the version that this glass was formed from silica heated by radiation from aerial bursts near the ground. Asteroids were treated as strengthless bodies from dunite with a density of 3.3 g cm⁻³, and comets as icy bodies with a density of 1 g cm⁻³. The simulations based on hydrodynamic equations included the equations of radiation transfer. Melting and vaporization of a silica target under action of radiation incident on a planar surface were modeled using a one‐dimensional hydrodynamic equation of energy and equations of radiation transfer in two‐flux approximation. We selected those variants of simulations in which a crater is not formed, a fireball touches the earth surface, and the area of a molten target corresponds to the area of the Libyan Desert Glass strewn field. Appropriate options include the impact of an asteroid with a diameter of 300 m, an entry speed of 35 km s⁻¹, and an entry angle of 8°, and cometary bodies with diameters from 150 to 300 m, speeds of 50–70 km s⁻¹, and entry angles from 15° to 45°. Impact options with crater formation are also discussed. The maximum depth of molten silica at ground zero reaches 10 cm with the cometary impacts and 3–4 cm with the asteroidal impact. Melting occurs during a period of time from 50 to 400 s.

中文翻译：

---

利比亚沙漠玻璃的形成：由于近地表爆炸产生的辐射而使二氧化硅熔化的数值模拟

利比亚沙漠玻璃含有气象物质，因此，其起源很可能与撞击事件有关。但是，尚未发现撞击坑。我们对石质和彗星体的影响进行了数值模拟，以确认这种玻璃是由二氧化硅制成的，这种二氧化硅是由地面附近空中爆发的辐射加热而形成的。小行星被视为密度为3.3 g cm ^-3的榴辉石的无力物体，而彗星被视为密度为1 g cm ^-3的冰质物体。基于流体动力学方程的模拟包括辐射传输方程。使用一维能量流体动力学方程和两通量近似的辐射传输方程，对在平面上入射辐射作用下二氧化硅靶的熔化和汽化进行了建模。我们选择了模拟的变体，其中没有形成火山口，火球接触了地面，熔融目标的面积对应于利比亚沙漠玻璃散布场的面积。适当的选择包括直径300 m，入口速度35 km s ^-1和入口角8°的小行星的撞击以及直径150至300 m，速度50–70 km的彗星撞击s ^-1，入射角从15°到45°。还讨论了形成陨石坑的影响方案。在地面零点处，熔融二氧化硅的最大深度在受到彗星撞击时达到10 cm，而在小行星撞击时达到3-4 cm。熔化发生的时间为50到400 s。