Weighted least squares fitting of free field equation of rock under chemical explosion

ZHANG Yu; FAN Hua-lin; JIN Feng-nian

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Weighted least squares fitting of free field equation of rock under chemical explosion

更新时间：2026-06-25

- Weighted least squares fitting of free field equation of rock under chemical explosion
- Vol. 32, Issue 10, (2011)
- 作者机构：
  
  1. 解放军理工大学工程兵工程学院,南京,210007
  2. 解放军理工大学理学院,南京,210007
  3. 武警工程学院,西安,710086
  4. 重庆交通大学（桥梁）结构工程重点试验室,重庆,400074
  5. 河海大学力学与材料学院/岩土力学与堤坝工程教育部重点试验室,南京,210098
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU452
- Online First：13 October 2011，
  
  Published：2011
- 稿件说明：
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ZHANG Yu, FAN Hua-lin, JIN Feng-nian. Weighted least squares fitting of free field equation of rock under chemical explosion[J]. 2011, 32(10).
DOI：

ZHANG Yu, FAN Hua-lin, JIN Feng-nian. Weighted least squares fitting of free field equation of rock under chemical explosion[J]. 2011, 32(10). DOI：

摘要

为得到不同工程条件下岩石化爆自由场分布特征，采用工程类比的方法，在试验数据和经验公式的基础上，采用加权最小二乘法对改进自由场应力波公式参数进行拟合。在分析参照工程与参照试验岩石及炸药参数的基础上，根据设计工程与参照工程和参照试验中岩石介质的波阻抗、弹性模量、炸药当量等参数的相似程度定义权重，将等值平均改为加权平均，对各经验公式进行加权最小二乘拟合。在确保类似工程和试验对设计工程具有更大参考价值的前提下，确定自由场应力波计算的改进公式，使爆炸荷载计算公式对设计工程具有更好的适用性。

Abstract

Previous experiences in existing engineering are often referenced in designing a new engineering. Restricted by the limited data of free fields of rocks under chemical explosions

a unified equation has not been suggested in designing codes for protective structures. A weighted least squares fitting method is suggested as an effective method to predict the free field in rocks. The weighted factors were defined according to the similarities of the engineering

including mass of explosive

rock quality and wave impedance. According to several empirical equations and the suggested method

a modified equation for free fields in rocks is built and discussed.

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