CN104048567B - On cover the defining method of the boulder explosion pretreatment explosive specific charge under Rock Conditions - Google Patents
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- 238000005422 blasting Methods 0.000 claims abstract description 124
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Abstract
本发明提供一种上覆岩土条件下孤石爆破预处理炸药单耗的确定方法,通过运用修正瑞典经验公式Q=Q1+Q2+Q3+Q4的计算来确定上覆岩土条件下的孤石爆破预处理的炸药单耗,其中Q为现场爆破最佳炸药单耗;Q1为基本炸药单耗,Q1=k1q1;Q2为爆区上方水深引起的水压增量,Q2=0.01h2,h2为爆区上方水压深度;Q3为爆区上方覆盖层增量,Q3=k3h3,h3为软土覆盖层的厚度;Q4为岩石膨胀增量,Q4=0.03h4,h4为爆破梯段高度。本发明通过修正瑞典经验公式来确定上覆岩土条件下的孤石爆破预处理炸药单耗,计算方便,得出的炸药单耗与实际炸药单耗的误差小,准确度高,爆后块度满足相关指标,适用性强。
The invention provides a method for determining the unit consumption of pretreatment explosives in boulder blasting under the condition of overlying rock and soil. The overlying rock and soil is determined by calculating the modified Swedish empirical formula Q=Q 1 +Q 2 +Q 3 +Q 4 The unit consumption of explosives pretreated by boulder blasting under the condition of , where Q is the unit consumption of the best explosives for on-site blasting; Q 1 is the unit consumption of basic explosives, Q 1 =k 1 q 1 ; Q 2 is the water depth caused by the blast area above Pressure increase, Q 2 =0.01h 2 , h 2 is the water pressure depth above the explosion zone; Q 3 is the cover layer increment above the explosion zone, Q 3 =k 3 h 3 , h 3 is the thickness of the soft soil cover; Q 4 is the rock expansion increment, Q 4 =0.03h 4 , h 4 is the blasting step height. The present invention determines the pretreatment explosive unit consumption of boulder blasting under the condition of overlying rock and soil by amending the Swedish empirical formula, which is convenient for calculation, has small error between the obtained explosive unit consumption and the actual explosive unit consumption, and has high accuracy. The degree meets the relevant indicators and has strong applicability.
Description
技术领域technical field
本发明涉及爆破领域,特别地,涉及一种上覆岩土条件下的孤石爆破预处理炸药单耗的确定方法。The invention relates to the field of blasting, in particular to a method for determining the unit consumption of pretreatment explosives for boulder blasting under the condition of overlying rock and soil.
背景技术Background technique
复合地层在华南地区分布广泛。该类地层中花岗岩风化土中的球状未风化高强度孤石群,是目前华南地区(如广州、深圳等)盾构施工中经常遇到的技术难题。为保证盾构机顺利掘进,采用地面钻孔爆破预处理高强度孤石或基岩突起问题是目前最常用的方法之一。该方法已在大量盾构施工中得到推广应用,中国专利也先后公布了多项与爆破预处理相关的方法,如地下障碍物爆破在盾构施工中的应用方法(申请号为200910047375.2)、复合地层盾构隧道封闭岩体爆破方法(申请号为201010173457.4)、一种盾构掘进溶沟地段孤石群的处理方法(申请号为201110417722.3)、一种桩、墙式深基坑支护结构遇大块孤石的处理方法(申请号为201010280658.4),但均未涉及孤石爆破炸药单耗的确定方法。Composite strata are widely distributed in South China. Spherical unweathered high-strength boulder groups in granite weathered soil in this type of stratum are technical difficulties often encountered in shield tunneling construction in South China (such as Guangzhou, Shenzhen, etc.). In order to ensure the smooth excavation of the shield machine, the use of ground drilling and blasting to pretreat high-strength boulders or bedrock protrusions is one of the most commonly used methods at present. This method has been popularized and applied in a large number of shield tunneling constructions, and Chinese patents have successively published a number of methods related to blasting pretreatment, such as the application method of underground obstacle blasting in shield tunneling construction (application number 200910047375.2), composite Blasting method for closed rock mass of stratum shield tunnel (application number is 201010173457.4), a treatment method for boulder group in dissolved ditch section of shield excavation (application number is 201110417722.3), a pile and wall type deep foundation pit support structure The processing method of large boulders (the application number is 201010280658.4), but none of them involve the method of determining the unit consumption of explosives for boulder blasting.
与其它爆破要求不同,孤石爆破预处理必须通过设计合理的炸药单耗等爆破参数,确保孤石爆破后块度小于30cm,以满足盾构机刀盘开口及螺旋输送机传送渣土的尺寸要求。现有的类似工程爆破常用的炸药单耗经验公式如下:(1)我国水利系统采用的q水=q陆+0.01H水+0.02H介质+0.03H梯,其中H水表示水深,H介质表示炸药埋深,H梯表示梯段高度;(2)日本炸药协会采用La=H·Ca(水压修正);Lβ=H0·Cβ(上覆土岩修正),其中H表示水深,H0表示上覆层厚度;(3)瑞典公式为q=q1+q2+q3+q4,其中q1为基本装药量,是一般陆地梯段爆破的2~3倍,对水下垂直钻孔,再增加10%;q2为爆区上方水压增量,q2=0.01h2,h2为水深,单位为米;q3为爆区上方覆盖层增量,q3=0.02h3,h3为覆盖层(淤泥或土、砂)厚度,单位为米;q4为岩石膨胀增量,q4=0.03h,h为梯段高度,单位为米;(4)《工程爆破实用手册》采用Q=K·Wa·H(1.45+0.45e-0.33(H0/w))。以上四种经验公式均没有考虑爆后块度30cm的特殊技术要求,都是按照常规爆破的要求作为控制指标,与上覆岩土条件下的孤石爆破预处理实际工程中的应用出入较大。在盾构穿越孤石群或基岩突起地层的实际工程中,一般参考常用的瑞典公式初步估算炸药单耗,但计算炸药单耗与实际炸药单耗的误差大,准确性差,爆破块度难以满足盾构掘进技术标准,通常需要通过多次现场爆破试验来确定最佳的炸药单耗等爆破参数,费工费力,工效低。Different from other blasting requirements, the pretreatment of boulder blasting must design reasonable blasting parameters such as explosive unit consumption to ensure that the size of the boulder after blasting is less than 30cm, so as to meet the size of the opening of the shield machine cutter head and the size of the muck conveyed by the screw conveyor. Require. The empirical formula of explosive unit consumption commonly used in existing similar project blasting is as follows: (1) q water = q land + 0.01H water + 0.02H medium + 0.03H ladder adopted by China's water conservancy system, wherein H water represents water depth, and H medium represents Explosive burial depth, H ladder indicates the height of the ladder; (2) Japan Explosives Association adopts L a = H · C a (water pressure correction); L β = H 0 · C β (overlying soil and rock correction), where H represents water depth , H 0 represents the thickness of the overlying layer; (3) The Swedish formula is q=q 1 +q 2 +q 3 +q 4 , where q 1 is the basic charge, which is 2 to 3 times that of general land bench blasting, For underwater vertical drilling, add another 10%; q 2 is the water pressure increment above the explosion zone, q 2 =0.01h 2 , h 2 is the water depth, in meters; q 3 is the overburden increment above the explosion zone, q 3 =0.02h 3 , h 3 is the thickness of the covering layer (silt or soil, sand), in meters; q 4 is the rock expansion increment, q 4 =0.03h, h is the height of the ladder, in meters; ( 4) "Engineering Blasting Practical Handbook" adopts Q=K·W a ·H(1.45+0.45e -0.33(H0/w) ). The above four empirical formulas do not take into account the special technical requirements of 30cm blockage after blasting, they are all based on the requirements of conventional blasting as control indicators, and are quite different from the actual engineering application of boulder blasting pretreatment under overlying rock and soil conditions. . In the actual project of shield tunneling through boulder groups or bedrock protruding strata, the commonly used Swedish formula is generally used to initially estimate the unit consumption of explosives. To meet the technical standards of shield tunneling, it is usually necessary to determine the best blasting parameters such as the unit consumption of explosives through multiple on-site blasting tests, which is labor-intensive and low in work efficiency.
因此,发明一种上覆岩土条件下的孤石爆破预处理炸药单耗的确定方法具有重要意义。Therefore, it is of great significance to develop a method for determining the unit consumption of pretreatment explosives in boulder blasting under the condition of overlying rock and soil.
发明内容Contents of the invention
本发明目的在于提供一种计算表达式简单且准确度高的上覆岩土条件下的孤石爆破预处理炸药单耗的确定方法,具体技术方案如下:The purpose of the present invention is to provide a method for determining the unit consumption of pretreatment explosives in boulder blasting under the condition of overlying rock and soil with simple calculation expression and high accuracy. The specific technical scheme is as follows:
一种上覆岩土条件下的孤石爆破预处理炸药单耗的确定方法,包括以下步骤:A method for determining the unit consumption of pretreatment explosives for boulder blasting under the condition of overlying rock and soil, comprising the following steps:
获取无覆盖层条件下相同介质的陆地爆破炸药单耗q1;Obtain the unit consumption q 1 of land blasting explosives of the same medium under the condition of no covering layer;
获取爆区上方水压深度h2;Obtain the water pressure depth h 2 above the explosion zone;
获取爆区上方软土覆盖层的厚度h3;Obtain the thickness h 3 of the soft soil covering layer above the explosion zone;
获取爆破梯阶高度h4;Obtain the blasting step height h 4 ;
根据无覆盖层条件下陆地爆破炸药单耗q1,获取上覆岩土条件下基本炸药单耗Q1,Q1=k1q1,其中,k1取值为5~6;According to the unit consumption q 1 of land blasting explosives under the condition of no overburden layer, the unit consumption Q 1 of basic explosives under the condition of overlying rock and soil is obtained, Q 1 = k 1 q 1 , where k 1 takes a value of 5 to 6;
根据爆区上方水压深度h2,获取爆区上方水压增量Q2,Q2=0.01h2;According to the water pressure depth h 2 above the explosion area, the water pressure increment Q 2 above the explosion area is obtained, Q 2 =0.01h 2 ;
根据爆区上方覆盖层的厚度h3,获取爆区上方覆盖层增量Q3,Q3=k3h3,其中,k3取值为0.22;According to the thickness h 3 of the overburden above the explosion zone, the overburden increment Q 3 above the explosion zone is obtained, Q 3 =k 3 h 3 , where k 3 is 0.22;
根据爆破梯阶高度h4,获取岩石膨胀增量Q4,Q4=0.03h4;According to the blasting step height h 4 , the rock expansion increment Q 4 is obtained, Q 4 =0.03h 4 ;
根据公式Q=Q1+Q2+Q3+Q4得出上覆岩土条件下的孤石爆破预处理的最佳炸药单耗Q,其中h2、h3以及h4的单位均为米,q1、Q、Q1、Q2、Q3以及Q4的单位均为千克。According to the formula Q=Q 1 +Q 2 +Q 3 +Q 4 , the optimal explosive unit consumption Q for boulder blasting pretreatment under the condition of overlying rock and soil is obtained, where the units of h 2 , h 3 and h 4 are The unit of meter, q 1 , Q, Q 1 , Q 2 , Q 3 and Q 4 is kilogram.
以上技术方案中优选的,所述修正经验公式Q=Q1+Q2+Q3+Q4的修正过程包括以下步骤:Preferably in the above technical solutions, the correction process of the revised empirical formula Q=Q 1 +Q 2 +Q 3 +Q 4 includes the following steps:
第一步:根据模型的材料相似、几何参数相似以及试验的爆破动力相似确定无自由面条件下爆破模型试验的相似律;The first step: Determine the similarity law of the blasting model test under the condition of no free surface according to the material similarity, geometric parameter similarity and blasting dynamic similarity of the test;
第二步:按照几何相似比例确定模型的尺寸;Step 2: Determine the size of the model according to the geometric similarity ratio;
第三步:根据第一步中的无自由面条件下爆破模型试验的相似律以及第二步中的模型尺寸,获得装药装置、试块、上覆盖层的各项参数以及试块爆破后块度的平均大小,其中装药装置的参数包括装药半径、装药长度、炸药密度、爆速以及炸药量,试块的参数包括试块强度、密度以及波速,上覆盖层的参数包括上覆层的波阻抗、密度以及波速;The third step: According to the similarity law of the blasting model test under the condition of no free surface in the first step and the model size in the second step, obtain the parameters of the charging device, the test block, the upper covering layer and the parameters of the test block after blasting. The average size of block degree, where the parameters of the charging device include charge radius, charge length, explosive density, detonation velocity and explosive quantity, the parameters of the test block include the strength, density and wave velocity of the test block, and the parameters of the upper covering layer include the overlying The wave impedance, density and wave velocity of the layer;
第四步:根据覆盖层的厚度的不同在满足第三步中的工况下进行至少三组试验,根据试块爆破后块度的平均大小选取最佳的炸药单耗数值,并采用MATLAB软件对试验数据进行拟合,得到覆盖层厚度与试块爆破最佳炸药单耗之间的线性关系;The fourth step: according to the thickness of the covering layer, at least three groups of tests are carried out under the working conditions in the third step, and the best explosive unit consumption value is selected according to the average size of the test block after blasting, and the MATLAB software is used Fit the test data to obtain the linear relationship between the thickness of the covering layer and the best explosive unit consumption of the test block blasting;
第五步:并根据第二步中选取的几何相似比例得出现场爆破对应的最佳炸药单耗,采用MATLAB软件对现场爆破时的掩埋深度和最佳炸药单耗数据进行拟合,得到埋深与现场爆破的最佳炸药单耗之间的线性关系;Step 5: According to the geometric similarity ratio selected in the second step, the optimal explosive unit consumption corresponding to the on-site blasting is obtained, and MATLAB software is used to fit the burial depth and the optimal explosive unit consumption data during the on-site blasting, and the buried depth is obtained. The linear relationship between the depth and the best explosive unit consumption for field blasting;
第六步:将相同工况下瑞典经验公式计算出的最佳炸药单耗数值与第五步得出的公式所得的现场爆破的最佳炸药单耗数值进行比较,即可得到修正经验公式Q=Q1+Q2+Q3+Q4。Step 6: Comparing the optimal explosive unit consumption value calculated by the Swedish empirical formula under the same working conditions with the optimal explosive unit consumption value of field blasting obtained from the formula obtained in step 5, the revised empirical formula Q can be obtained =Q 1 +Q 2 +Q 3 +Q 4 .
以上技术方案中优选的,所述无自由面条件下爆破模型试验的相似律为:Preferably in the above technical scheme, the law of similarity of the blasting model test under the described condition of no free surface is:
f=(π1、π2、π3、π4、π5、π6、π7、π8)f=(π 1 , π 2 , π 3 , π 4 , π 5 , π 6 , π 7 , π 8 )
其中,π1为模型和实际的装药尺寸相似比,π2为模型与实际爆破的尺寸相似比,π3为模型与实际爆破的爆破块度的相似比,π4为试验模型和几何原型的相似比,π5为装药量与装药半径的相似比,π6为炸药与岩石的波阻抗的相似比,π7为岩石与覆盖层的波阻抗的相似比,π8为炸药的爆轰压力与岩石强度的相似比,其中π1、π2、π3、π4、π5、π6、π7以及π8的值分别是:0.05、0.045、0.15、0.143、0.0052、0.43、1.8以及62.8。Among them, π 1 is the size similarity ratio between the model and the actual blasting, π 2 is the size similarity ratio between the model and the actual blasting, π 3 is the similarity ratio between the model and the actual blasting, and π 4 is the test model and the geometric prototype π 5 is the similarity ratio of charge to charge radius, π 6 is the similarity ratio of the wave impedance of the explosive to the rock, π 7 is the similarity ratio of the wave impedance of the rock to the covering layer, π 8 is the wave impedance of the explosive The similarity ratio of detonation pressure to rock strength, where the values of π 1 , π 2 , π 3 , π 4 , π 5 , π 6 , π 7 and π 8 are: 0.05, 0.045, 0.15, 0.143, 0.0052, 0.43, respectively , 1.8 and 62.8.
以上技术方案中优选的,所述第二步中几何相似比例取值1:7,模型的大小为15cm;所述第二步中装药半径为0.68cm,装药长度为13.5cm;炸药密度为1000kg/m3,爆速3200m/s,雷管的外径为6mm,雷管的药量为0.7g/发,雷管的长度为7cm,炸药量为19.7g;试块的密度为2200~2300kg/m3,波速为3300~3500m/s,强度为52.0~55.0MPa;上覆层的波阻抗为4.1×106kg/m2s的材料,密度为1600kg/m3,波速2562m/s;试块爆破后块度的平均大小为4.5cm。现场试块的密度最好是2200kg/m3,波速最好是3382m/s,强度最好是53.2MPa。Preferably in the above technical scheme, the geometric similarity ratio in the second step is 1:7, and the size of the model is 15cm; the charge radius in the second step is 0.68cm, and the charge length is 13.5cm; the explosive density The detonation velocity is 1000kg/m 3 , the detonation velocity is 3200m/s, the outer diameter of the detonator is 6mm, the charge of the detonator is 0.7g/shot, the length of the detonator is 7cm, and the explosive quantity is 19.7g; the density of the test block is 2200~2300kg/m 3. The wave velocity is 3300-3500m/s, the strength is 52.0-55.0MPa; the wave impedance of the overlying layer is 4.1×10 6 kg/m 2 s, the density is 1600kg/m 3 , and the wave velocity is 2562m/s; the test block The average size of the lumps after blasting is 4.5cm. The best density of the field test block is 2200kg/m 3 , the best wave velocity is 3382m/s, and the best strength is 53.2MPa.
以上技术方案中优选的,所述试块的组分为水泥:砂:粒径为5~10mm的碎石:粒径为10~20mm的碎石:粉煤灰:聚羧酸高效减水剂:水为376:659:468:703:94:4.7:145。Preferably in the above technical solutions, the components of the test block are cement: sand: crushed stone with a particle size of 5-10 mm: crushed stone with a particle size of 10-20 mm: fly ash: polycarboxylic acid superplasticizer :water is 376:659:468:703:94:4.7:145.
以上技术方案中优选的,所述第四步中的工况为六组:上部无覆盖层、上部覆盖层的厚度分别为30cm、50cm、70cm、100cm以及150cm且满足相似准则的砂层。Preferably in the above technical solutions, the working conditions in the fourth step are six groups: sand layers with no upper covering layer, upper covering layer thicknesses of 30cm, 50cm, 70cm, 100cm and 150cm and satisfying similar criteria.
以上技术方案中优选的,所述六组工况中试块爆破后平均块度的大小为4.45~4.65cm。Preferably in the above technical solutions, the average block size after blasting of the pilot blocks in the six groups of working conditions is 4.45-4.65 cm.
以上技术方案中优选的,所述第四步中埋深与试块爆破的最佳炸药单耗之间的线性关系为y=1.737x+3.386,其中y为试块爆破的最佳炸药单耗,x为试块埋置深度;第五步中孤石埋深与现场爆破的最佳炸药单耗之间的线性关系y=0.248x+3.386,其中y为现场爆破的最佳炸药单耗,x为孤石埋置深度。Preferably in the above technical scheme, the linear relationship between the depth of burial in the fourth step and the best explosive unit consumption of test block blasting is y=1.737x+3.386, where y is the best explosive unit consumption of test block blasting , x is the embedding depth of the test block; the linear relationship y=0.248x+3.386 between the burial depth of the boulder and the best explosive unit consumption of field blasting in the fifth step, where y is the best explosive unit consumption of field blasting, x is the embedding depth of the boulder.
本发明具有以下有益效果为:The present invention has the following beneficial effects:
(1)本发明通过先测量各项参数值,再经修正经验公式Q=Q1+Q2+Q3+Q4进行计算来确定上覆岩土条件下的孤石爆破预处理的炸药单耗,测量步骤精简,计算表达式计算简单,同时计算得出的炸药单耗与实际使用过程中的炸药单耗的误差小,准确度高,爆破块度满足盾构出渣小于30cm的技术指标,便于施工,提高施工效率。(1) The present invention determines the explosive list for pretreatment of boulder blasting under the condition of overlying rock and soil by first measuring various parameter values, and then calculating through the revised empirical formula Q=Q 1 +Q 2 +Q 3 +Q 4 Consumption, the measurement steps are simplified, and the calculation expression is simple to calculate. At the same time, the error between the calculated unit consumption of explosives and the unit consumption of explosives in the actual use process is small, and the accuracy is high. , to facilitate construction and improve construction efficiency.
(2)本发明中修正经验公式Q=Q1+Q2+Q3+Q4的修正经过六个步骤获得,过程简单;修正过程采用模型的材料相似、几何参数相似以及试验的爆破动力相似来确定无自由面上覆岩土条件下爆破模型试验的相似律以及通过MATLAB软件对相关数据进行拟合,准确度高。(2) in the present invention, the correction of the empirical formula Q=Q 1 +Q 2 +Q 3 +Q 4 is obtained through six steps, and the process is simple; the correction process adopts the similar material of the model, the similar geometric parameters and the similar blasting power of the test To determine the similarity law of the blasting model test under the condition of no free surface overlying rock and soil, and to fit the relevant data through MATLAB software, the accuracy is high.
除了上面所描述的目的、特征和优点之外,本发明还有其它的目的、特征和优点。下面将参照图,对本发明作进一步详细的说明。In addition to the objects, features and advantages described above, the present invention has other objects, features and advantages. Hereinafter, the present invention will be described in further detail with reference to the drawings.
附图说明Description of drawings
构成本申请的一部分的附图用来提供对本发明的进一步理解,本发明的示意性实施例及其说明用于解释本发明,并不构成对本发明的不当限定。在附图中:The accompanying drawings constituting a part of this application are used to provide further understanding of the present invention, and the schematic embodiments and descriptions of the present invention are used to explain the present invention, and do not constitute an improper limitation of the present invention. In the attached picture:
图1是本发明修正经验公式计算出的最佳炸药单耗与试验中炸药单耗的比较图。Fig. 1 is the comparison chart of the optimal explosive unit consumption calculated by the revised empirical formula of the present invention and the explosive unit consumption in the test.
具体实施方式Detailed ways
以下结合附图对本发明的实施例进行详细说明,但是本发明可以根据权利要求限定和覆盖的多种不同方式实施。The embodiments of the present invention will be described in detail below with reference to the accompanying drawings, but the present invention can be implemented in various ways defined and covered by the claims.
实施例1:Example 1:
一种上覆岩土条件下的孤石爆破预处理炸药单耗的确定方法,包括以下步骤:A method for determining the unit consumption of pretreatment explosives for boulder blasting under the condition of overlying rock and soil, comprising the following steps:
获取无覆盖层条件下相同介质的陆地爆破炸药单耗q1;Obtain the unit consumption q 1 of land blasting explosives of the same medium under the condition of no covering layer;
获取爆区上方水压深度h2;Obtain the water pressure depth h 2 above the explosion zone;
获取爆区上方软土覆盖层的厚度h3,其中软土覆盖层最好是淤泥层、土层、砂层等天然孔隙比大于或等于1.0的覆盖层;Obtain the thickness h 3 of the soft soil covering layer above the explosion area, where the soft soil covering layer is preferably a covering layer with a natural void ratio greater than or equal to 1.0 such as a silt layer, a soil layer, and a sand layer;
获取爆破梯阶高度h4;Obtain the blasting step height h 4 ;
根据无覆盖层条件下陆地爆破炸药单耗q1,获取上覆岩土条件下基本炸药单耗Q1,Q1=k1q1;According to the unit consumption q 1 of the land blasting explosives under the condition of no overburden layer, the unit consumption Q 1 of the basic explosives under the condition of the overlying rock and soil is obtained, Q 1 =k 1 q 1 ;
根据爆区上方水压深度h2,获取爆区上方水压增量Q2,Q2=0.01h2;According to the water pressure depth h 2 above the explosion area, the water pressure increment Q 2 above the explosion area is obtained, Q 2 =0.01h 2 ;
根据爆区上方覆盖层的厚度h3,获取爆区上方覆盖层增量Q3,Q3=k3h3;According to the thickness h 3 of the overburden layer above the explosion zone, the overburden increment Q 3 above the explosion zone is obtained, Q 3 =k 3 h 3 ;
根据爆破梯阶高度h4,获取岩石膨胀增量Q4,Q4=0.03h4;According to the blasting step height h 4 , the rock expansion increment Q 4 is obtained, Q 4 =0.03h 4 ;
根据公式Q=Q1+Q2+Q3+Q4得出上覆岩土条件下的孤石爆破预处理的最佳炸药单耗Q,其中h2、h3以及h4的单位均为米,q1、Q、Q1、Q2、Q3以及Q4的单位均为千克。According to the formula Q=Q 1 +Q 2 +Q 3 +Q 4 , the optimal explosive unit consumption Q for boulder blasting pretreatment under the condition of overlying rock and soil is obtained, where the units of h 2 , h 3 and h 4 are The unit of meter, q 1 , Q, Q 1 , Q 2 , Q 3 and Q 4 is kilogram.
通过以上步骤得出的最佳炸药的单耗与实际试验的数据的比较详见图1所示,两条直线基本重叠,两者误差非常小,便于施工,提高施工效率。The comparison between the unit consumption of the optimal explosive obtained through the above steps and the actual test data is shown in Figure 1. The two straight lines basically overlap, and the error between the two is very small, which is convenient for construction and improves construction efficiency.
所述公式Q=Q1+Q2+Q3+Q4的修正过程包括以下步骤:The correction process of the formula Q=Q 1 +Q 2 +Q 3 +Q 4 includes the following steps:
第一步:根据模型材料相似、几何参数相似以及试验爆破动力相似确定无自由面条件下爆破模型试验相似律,采用相似准则的π定理及量纲分析法确定现场爆破的相似准则,选取的物理量及其量纲和数值详见表1:Step 1: Determine the similarity law of the blasting model test under the condition of no free surface according to the similarity of model materials, geometric parameters and test blasting dynamics, and use the π theorem of the similarity criterion and the dimensional analysis method to determine the similarity criterion of the field blasting. The selected physical quantities Its dimensions and values are detailed in Table 1:
表1模型试验中物理量、物理意义及量纲Table 1 Physical quantity, physical meaning and dimension in model test
现场试验药量主要受各因素的影响用如下方程表示:The dosage of the field test is mainly affected by various factors and expressed by the following equation:
Q=f(v、ρ、R、h、ρr、cr、σr、L、D、H、σc、vc)Q=f(v, ρ, R, h, ρ r , c r , σ r , L, D, H, σ c , v c )
上式中Q为因变量,其余为自变量,基本量纲为3个,取v、ρ、R为独立量纲量。按π定理及量纲分析法,求得下列无量纲的相似判据:In the above formula, Q is the dependent variable, and the rest are independent variables. There are three basic dimensions, and v, ρ, and R are taken as independent dimensions. According to the π theorem and the dimensional analysis method, the following dimensionless similarity criterion is obtained:
π1=R/h、π2=R/L、π3=R/D、π4=L/H、π5=σr/ρv2、π6=ρv/ρrvr、π7=ρrvr/ρcvc、π8=Q/ρR3。π 1 =R/h, π 2 =R/L, π 3 =R/D, π 4 =L/H, π 5 =σ r /ρv 2 , π 6 =ρv/ρ r v r , π 7 = ρ r v r /ρ c v c , π 8 =Q/ρR 3 .
所述无自由面条件下爆破模型试验的相似律为:f=(π1、π2、π3、π4、π5、π6、π7、π8)The similarity law of the blasting model test under the condition of no free surface is: f=(π 1 , π 2 , π 3 , π 4 , π 5 , π 6 , π 7 , π 8 )
其中,π1为模型和实际的装药尺寸相似比,π2为模型与实际爆破的尺寸相似比,π3为模型与实际爆破的爆破块度的相似比,π4为试验模型和几何原型的相似比,π5为装药量与装药半径的相似比,π6为炸药与岩石的波阻抗的相似比,π7为岩石与覆盖层的波阻抗的相似比,π8为炸药的爆轰压力与岩石强度的相似比,其中π1、π2、π3、π4、π5、π6、π7及π8的值分别是:0.05、0.045、0.15、0.143、0.0052、0.43、1.8、62.8;Among them, π 1 is the size similarity ratio between the model and the actual blasting, π 2 is the size similarity ratio between the model and the actual blasting, π 3 is the similarity ratio between the model and the actual blasting, and π 4 is the test model and the geometric prototype π 5 is the similarity ratio of charge to charge radius, π 6 is the similarity ratio of the wave impedance of the explosive to the rock, π 7 is the similarity ratio of the wave impedance of the rock to the covering layer, π 8 is the wave impedance of the explosive The similarity ratio of detonation pressure to rock strength, where the values of π 1 , π 2 , π 3 , π 4 , π 5 , π 6 , π 7 and π 8 are: 0.05, 0.045, 0.15, 0.143, 0.0052, 0.43 , 1.8, 62.8;
第二步:按照几何相似比例为1:7,确定模型的尺寸为15cm;Step 2: According to the geometric similarity ratio of 1:7, determine the size of the model as 15cm;
第三步:根据第一步中的无自由面条件下爆破模型试验的相似律以及第二步中的模型尺寸,获得装药半径为0.68cm,装药长度为13.5cm;炸药密度为1000kg/m3,爆速3200m/s,雷管的外径为6mm,雷管的药量为0.7g/发,雷管的长度为7cm,炸药量为19.7g;试块的密度为2200~2300kg/m3,波速为3300~3500m/s,强度为52.0~55.0MPa;上覆层的波阻抗为4.1×106kg/m2s的材料,密度为1600kg/m3,波速2562m/s;试块爆破后块度的平均大小为4.5cm;现场试块的密度最好为2200kg/m3,波速最好为3382m/s,强度最好为53.2MPa;其中,所述试块的组分比例为水泥:砂:粒径为5~10mm的碎石:粒径为10~20mm的碎石:粉煤灰:聚羧酸高效减水剂:水为376:659:468:703:94:4.7:145;The third step: According to the similarity law of the blasting model test under the condition of no free surface in the first step and the model size in the second step, the charge radius is 0.68cm, the charge length is 13.5cm; the explosive density is 1000kg/ m 3 , the detonation velocity is 3200m/s, the outer diameter of the detonator is 6mm, the charge of the detonator is 0.7g/shot, the length of the detonator is 7cm, and the explosive quantity is 19.7g; the density of the test block is 2200~2300kg/m 3 , the wave velocity 3300~3500m/s, strength 52.0~55.0MPa; the wave impedance of the overlying layer is 4.1×106kg/m 2 s, the density is 1600kg/m 3 , and the wave velocity is 2562m/s; The average size is 4.5cm; the best density of the field test block is 2200kg/m 3 , the best wave velocity is 3382m/s, and the best strength is 53.2MPa; wherein, the composition ratio of the test block is cement:sand:grain Gravel with a diameter of 5-10mm: gravel with a particle size of 10-20mm: fly ash: polycarboxylate superplasticizer: water: 376:659:468:703:94:4.7:145;
第四步:根据覆盖层的厚度的不同进行六组工况试验,分别是:上部无覆盖层、上部覆盖层的厚度分别为30cm、50cm、70cm、100cm以及150cm且满足相似准则的砂层,其实验数据详见下表2所示:Step 4: Carry out six groups of working condition tests according to the thickness of the covering layer, namely: the sand layer with no upper covering layer, the thickness of the upper covering layer is 30cm, 50cm, 70cm, 100cm and 150cm and meets similar criteria, The experimental data are shown in Table 2 below:
表2爆破装药量、爆后平均块度以及最佳炸药单耗表Table 2 The amount of blasting charge, the average block size after blasting and the best unit consumption of explosives
根据试块爆破后块度的平均大小(最接近4.5cm)选取最佳的炸药单耗数值,详见表3:Select the best explosive unit consumption value according to the average size of the block after the test block is blasted (closest to 4.5cm), see Table 3 for details:
表3试验中覆盖层厚度、最佳炸药单耗以及试验现象Table 3 Covering layer thickness, optimal explosive unit consumption and test phenomena in the test
并采用MATLAB软件对表3中覆盖层厚度、最佳单耗的试验数据进行拟合,得到覆盖层厚度与试块爆破最佳炸药单耗之间的线性关系,y=1.737x+3.386,其中y为试块爆破最佳炸药单耗,x为试块埋深;And use MATLAB software to fit the test data of covering layer thickness and best unit consumption in Table 3, and obtain the linear relationship between covering layer thickness and best explosive unit consumption of test block blasting, y=1.737x+3.386, where y is the best explosive unit consumption for the test block blasting, and x is the burial depth of the test block;
第五步:根据几何相似比例1:7,得出现场爆破对应的最佳炸药单耗,详见表4所示:Step 5: According to the geometric similarity ratio of 1:7, the optimal unit consumption of explosives corresponding to field blasting is obtained, as shown in Table 4 for details:
表4模型试验和现场爆破的炸药单耗Table 4 The unit consumption of explosives for model tests and on-site blasting
采用MATLAB软件对现场爆破时的掩埋深度和最佳炸药单耗数据进行拟合,得到埋深与现场爆破的最佳炸药单耗之间的线性关系:MATLAB software is used to fit the data of burial depth and optimal explosive unit consumption during on-site blasting, and the linear relationship between burial depth and optimal explosive unit consumption of on-site blasting is obtained:
y=0.248x+3.386(1)y=0.248x+3.386(1)
上式中,y为现场爆破的最佳炸药单耗,x为孤石埋置深度;In the above formula, y is the best explosive unit consumption of on-site blasting, and x is the embedding depth of boulders;
第六步:将以上六种埋深工况下常用的瑞典经验公式计算出的炸药单耗值与公式(1)得出的现场爆破的最佳炸药单耗数值进行比较,详见表5所示:Step 6: Compare the explosive unit consumption value calculated by the Swedish empirical formula commonly used in the above six buried depths with the optimal explosive unit consumption value obtained by formula (1), see Table 5 for details Show:
表5瑞典经验公式和修正公式的炸药单耗对比Table 5 Comparison of unit consumption of explosives between the Swedish empirical formula and the revised formula
由表5可知,在上覆岩土条件下爆破时,六种不同埋深工况下实际炸药单耗为常用瑞典经验公式计算结果的3.1~4.9倍,根据爆破碎岩原理,导致实际炸药单耗增加的主要原因是常用瑞典经验公式未考虑爆破块度的要求,其次是受上覆岩土地层重力竖向约束作用,爆源无临空自由面。因此,考虑盾构掘进对孤石爆破后块度小于30cm的要求及上覆岩土地层的约束作用,有必要对瑞典公式进行修正。由于常用瑞典经验公式中考虑水深的爆区上方水压增量Q2和考虑梯阶高度的孤石爆破膨胀增量Q4已得到行业的公认,因此,Q2和Q4分项及其系数仍按常用瑞典经验公式进行取值,只需对Q1、Q3进行修正:It can be seen from Table 5 that when blasting under the condition of overlying rock and soil, the actual unit consumption of explosives under six different buried depth conditions is 3.1 to 4.9 times that calculated by the commonly used Swedish empirical formula. According to the principle of rock breaking by blasting, the actual unit consumption of explosives The main reason for the increase in consumption is that the commonly used Swedish empirical formula does not take into account the requirement of blasting fragmentation, and the second is that due to the vertical constraint of the gravity of the overlying rock and soil strata, the blasting source has no adjacent free surface. Therefore, it is necessary to revise the Swedish formula considering the requirement of shield excavation that the block size of boulder blasting should be less than 30 cm and the constraint effect of the overlying rock strata. Since the water pressure increment Q 2 above the blast zone considering the water depth and the boulder blasting expansion increment Q 4 considering the step height in the commonly used Swedish empirical formula have been recognized by the industry, therefore, the sub-items of Q 2 and Q 4 and their coefficients The value is still determined according to the commonly used Swedish empirical formula, only Q 1 and Q 3 need to be corrected:
Q1为基本炸药单耗,Q1=k1q1,q1为无覆盖层条件下露天陆地梯段爆破炸药单耗,k1为考虑爆破块度要求及水深、覆盖层厚度对炸药爆速降低影响的综合修正系数。因陆地普通坚硬岩石爆破平均单耗一般为0.6kg/m3,而试验获得孤石基本炸药单耗Q1=3.39kg/m3,由此可确定基本炸药单耗Q1值为陆地普通坚硬岩石爆破单耗量的5~6倍,即k1取值为5~6。;Q 1 is the unit consumption of basic explosives, Q 1 = k 1 q 1 , q 1 is the unit consumption of explosives in open-air land step blasting under the condition of no covering layer, and k 1 is the effect of explosive detonation velocity on consideration of blasting block size requirements, water depth and covering layer thickness A composite modifier to reduce the impact. Because the average unit consumption of ordinary hard rock blasting on land is generally 0.6kg/m 3 , and the unit consumption of basic explosive Q 1 = 3.39kg/m 3 was obtained from the test, it can be determined that the unit consumption Q 1 of the basic explosive is 0.6kg/m 3 5 to 6 times the unit consumption of rock blasting, that is, the value of k 1 is 5 to 6. ;
Q3为爆区上方覆盖层增量,Q3=k3h3,h3为上覆岩土层的厚度,单位为米,k3为考虑覆盖层厚度约束影响的修正系数。根据表5中公式(1)计算出的6种工况的最佳炸药单耗值,分别减去各工况下的Q1、Q2和Q4值,即可得到不同覆盖层厚度条件下的炸药单耗值,经数据分析可得爆区上方覆盖层增量Q3与覆层厚度之间的线性回归关系式Q3=0.22h3,也即修正系数k3=0.22;Q 3 is the overburden increment above the explosion area, Q 3 =k 3 h 3 , h 3 is the thickness of the overlying rock and soil layer in meters, and k 3 is a correction factor considering the influence of overburden thickness constraints. According to formula (1) in Table 5, the optimal explosive unit consumption values of the six working conditions are subtracted from the values of Q 1 , Q 2 and Q 4 in each working condition to obtain the The unit consumption value of explosives, through data analysis, the linear regression relationship Q 3 =0.22h 3 between the overburden increment Q 3 and the thickness of the overburden above the explosion zone can be obtained, that is, the correction coefficient k 3 =0.22;
根据上述分析,即得修正瑞典经验公式Q=Q1+Q2+Q3+Q4,其中:According to the above analysis, the Swedish empirical formula Q=Q 1 +Q 2 +Q 3 +Q 4 can be revised, where:
Q为包含对块度小于30cm要求的上覆岩土条件下的孤石爆破最佳炸药单耗;Q is the optimal unit consumption of explosives for boulder blasting under the overlying rock and soil conditions including the requirement that the block size is less than 30cm;
Q1为上覆岩土条件下基本炸药单耗,是一般陆地梯段爆破炸药单耗q1的5~6倍,即Q1=k1q1,其中k1取值为5~6;Q 1 is the unit consumption of basic explosives under the overlying rock and soil conditions, which is 5 to 6 times the unit consumption q 1 of general land bench blasting explosives, that is, Q 1 = k 1 q 1 , where k 1 takes a value of 5 to 6;
Q2为爆区上方水压增量,Q2=0.01h2,h2为爆区上方水压深度,单位为米;Q 2 is the water pressure increment above the explosion zone, Q 2 =0.01h 2 , h 2 is the water pressure depth above the explosion zone, the unit is meter;
Q3为爆区上方覆盖层增量,Q3=0.22h3,h3为爆区上方覆盖层(淤泥或土、砂等)厚度,单位为米;Q 3 is the overburden increment above the explosion area, Q 3 =0.22h 3 , h 3 is the thickness of the overburden layer (silt or soil, sand, etc.) above the explosion area, in meters;
Q4为岩石膨胀增量,q4=0.03h4,h4为爆破梯阶高度,单位为米。Q 4 is the rock expansion increment, q 4 =0.03h 4 , h 4 is the height of the blasting steps, in meters.
以上所述仅为本发明的优选实施例而已,并不用于限制本发明,对于本领域的技术人员来说,本发明可以有各种更改和变化。凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above descriptions are only preferred embodiments of the present invention, and are not intended to limit the present invention. For those skilled in the art, the present invention may have various modifications and changes. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included within the protection scope of the present invention.
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CN106650052A (en) * | 2016-12-06 | 2017-05-10 | 武汉长江仪器自动化研究所有限公司 | Artificial neural network based ingredient blasting parameter intelligent-design method |
CN108225139B (en) * | 2017-12-29 | 2019-07-26 | 新疆大学 | An engineering geological classification method for bench blasting of interbedded rock mass |
CN109506532B (en) * | 2018-10-25 | 2020-09-04 | 中国地质大学(武汉) | Method for determining unit consumption of underwater drilling blasting explosive |
CN109596022B (en) * | 2019-01-03 | 2021-03-16 | 广州轨道交通建设监理有限公司 | Blasting treatment method for boulders in front of shield cutter head |
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