Monte Carlo method

蒙特卡罗方法
  • 文章类型: Journal Article
    这项原始工作研究了受意大利青霉感染的南丰橘子(NF)和赣南脐橙(GN)的黄酮中的光学特性和基于蒙特卡罗(MC)的光传播模拟。在储存过程中,在感染的NF和GN中都观察到了约482nm处的吸收系数(μa)的增加和约675nm处的减小。表明类胡萝卜素的积累和叶绿素的损失。特别是,NF中的μa变化比GN更强烈,但是在采后感染时检测到降低的散射系数(μs')的有限差异。此外,光传播的MC模拟表明,NF中482nm处的光子包重量和穿透深度比GN中的减少更多。而在926nm的相对较低的吸收波长下几乎没有变化。在感染期间,NF和GN在482nm处的模拟吸收能量比在675nm处的变化更大。从而可以更好地检测柑橘病害。此外,PLS-DA模型可以区分健康和受感染的柑橘,NF的准确率为95.24%,GN的准确率为98.67%,分别。因此,这些结果可以为提高建模预测的鲁棒性和准确性提供理论基础。
    This original work investigated the optical properties and Monte-Carlo (MC) based simulation of light propagation in the flavedo of Nanfeng tangerine (NF) and Gannan navel orange (GN) infected by Penicillium italicum. The increase of absorption coefficient (μa) at around 482 nm and the decrease at around 675 nm were both observed in infected NF and GN during storage, indicating the accumulation of carotenoids and loss of chlorophyll. Particularly, the μa in NF varied more intensively than GN, but the limited differences of reduced scattering coefficient (μs\') were detected while postharvest infection. Besides, MC simulation of light propagation indicated that the photon packets weight and penetration depth at 482 nm in NF were reduced more than in GN flavedo, while there were almost no changes at the relatively low absorption wavelength of 926 nm. The simulated absorption energy at 482 nm in NF and GN presented more changes than those at 675 nm during infection, thus could provide better detection of citrus diseases. Furthermore, PLS-DA models can discriminate healthy and infected citrus, with the accuracy of 95.24 % for NF and 98.67 % for GN, respectively. Consequently, these results can provide theoretical fundamentals to improve modelling prediction robustness and accuracy.
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  • 文章类型: Journal Article
    任务组43(TG-43)形式主义不考虑组织和涂药器的异质性。这项研究是比较基于模型的剂量计算算法的效果,像先进的折叠锥引擎(ACE),关于宫颈癌患者的剂量计算与TG-43剂量计算形式主义。
    前瞻性研究了20例接受高剂量率腔内近距离放射治疗的宫颈癌患者。在Oncentra治疗计划系统(Elekta,Veenendaal,荷兰)。所有患者均计划使用钴60(Co-60)和铱192(Ir-192)来源,剂量为21Gy,分3次。这些计划是用TG-43形式主义和基于模型的剂量计算算法ACE计算的。在目标覆盖率和OAR剂量方面比较了TG-43和基于ACE的计划的剂量学参数。
    对于基于Co-60的计划,高风险临床目标体积(HR-CTV)的D90和V100值的百分比差异分别为0.36±0.43%和0.17±0.31%,分别。对于膀胱,直肠和乙状结肠,D2cc体积的百分比差异为-0.50±0.51%,-0.16±0.53%和-0.37±1.21%,分别。对于基于Ir-192的计划,HR-CTV的D90百分比差异为0.54±0.79%,而V100为0.24±0.29%。对于膀胱,直肠和乙状结肠,2cc体积的剂量为0.35±1.06%,0.99±0.74%和0.74±1.92%,分别。用ACE和TG-43计算的剂量学参数没有发现显着差异。
    ACE算法减少了OAR和目标的剂量。然而,ACE和TG-43在两种来源的靶标和OAR的剂量学参数中没有显示出显着差异。
    UNASSIGNED: Task Group 43 (TG-43) formalism does not consider the tissue and applicator heterogeneities. This study is to compare the effect of model-based dose calculation algorithms, like Advanced Collapsed Cone Engine (ACE), on dose calculation with the TG-43 dose calculation formalism in patients with cervical carcinoma.
    UNASSIGNED: 20 patients of cervical carcinoma treated with a high dose rate of intracavitary brachytherapy were prospectively studied. The target volume and organs at risk (OARs) were contoured in the Oncentra treatment planning system (Elekta, Veenendaal, The Netherlands). All patients were planned with cobalt-60 (Co-60) and iridium-192 (Ir-192) sources with doses of 21 Gy in 3 fractions. These plans were calculated with TG-43 formalism and a model-based dose calculation algorithm ACE. The dosimetric parameters of TG-43 and ACE-based plans were compared in terms of target coverage and OAR doses.
    UNASSIGNED: For Co-60-based plans, the percentage differences in the D90 and V100 values for high-risk clinical target volume (HR-CTV) were 0.36 ± 0.43% and 0.17 ± 0.31%, respectively. For the bladder, rectum and sigmoid, the percentage differences for D2cc volumes were -0.50 ± 0.51%, -0.16 ± 0.53% and -0.37 ± 1.21%, respectively. For Ir-192-based plans, the percentage difference in the D90 for HR-CTV was 0.54 ± 0.79%, while V100 was 0.24 ± 0.29%. For the bladder, rectum and sigmoid, the doses to 2cc volume were 0.35 ± 1.06%, 0.99 ± 0.74% and 0.74 ± 1.92%, respectively. No significant differences were found in the dosimetric parameters calculated with ACE and TG-43.
    UNASSIGNED: The ACE algorithm reduced doses to OARs and targets. However, ACE and TG-43 did not show significant differences in the dosimetric parameters of the target and OARs with both sources.
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  • 文章类型: Journal Article
    自COVID-19大流行以来,关于脉搏血氧计在测量皮肤色素沉着较深的个体的动脉血氧饱和度(SpO2)的准确性的问题再次出现。这需要进行调查以提高患者的安全性,临床决策,和研究。
    我们旨在使用计算建模来识别深色皮肤个体中SpO2测量不准确的潜在原因,并提出实用的解决方案以最大程度地减少偏差。
    开发了人类手指的计算机模拟模型,以探索改变黑色素浓度和动脉血氧饱和度(SaO2)如何影响使用蒙特卡洛(MC)技术的脉搏血氧计校准算法。该模型为FitzpatrickI型皮肤生成校正曲线,IV,和VI,SaO2在透射率模式下的范围在70%和100%之间。通过将计算的浅色和深色皮肤的比率比率输入到广泛使用的校准算法方程中以计算偏差(SpO2-SaO2)来得出SpO2。这些通过实验研究进行了验证,以表明蒙特卡洛模型的有效性。进一步的工作包括应用不同的倍增因子来调整相对于浅色皮肤的中等和深色皮肤校准曲线。
    中度和深色皮肤校准曲线方程与浅色皮肤不同,这表明,由于不同表皮黑色素浓度下的光行为变化,单一算法可能不适合所有皮肤类型,尤其是在660nm。在队列研究中,白种人和黑种人对浅色和深色皮肤的平均偏倚比为6.6和5.47,分别,来自蒙特卡洛模型。将1.23的线性倍增因子和1.8的指数因子应用于中度和深色皮肤校准曲线,导致类似的对齐。
    这项研究支持对脉搏血氧计设计进行仔细的重新评估,以最大程度地减少不同人群的SpO2测量偏差。
    UNASSIGNED: Questions about the accuracy of pulse oximeters in measuring arterial oxygen saturation ( SpO 2 ) in individuals with darker skin pigmentation have resurfaced since the COVID-19 pandemic. This requires investigation to improve patient safety, clinical decision making, and research.
    UNASSIGNED: We aim to use computational modeling to identify the potential causes of inaccuracy in SpO 2 measurement in individuals with dark skin and suggest practical solutions to minimize bias.
    UNASSIGNED: An in silico model of the human finger was developed to explore how changing melanin concentration and arterial oxygen saturation ( SaO 2 ) affect pulse oximeter calibration algorithms using the Monte Carlo (MC) technique. The model generates calibration curves for Fitzpatrick skin types I, IV, and VI and an SaO 2 range between 70% and 100% in transmittance mode. SpO 2 was derived by inputting the computed ratio of ratios for light and dark skin into a widely used calibration algorithm equation to calculate bias ( SpO 2 - SaO 2 ). These were validated against an experimental study to suggest the validity of the Monte Carlo model. Further work included applying different multiplication factors to adjust the moderate and dark skin calibration curves relative to light skin.
    UNASSIGNED: Moderate and dark skin calibration curve equations were different from light skin, suggesting that a single algorithm may not be suitable for all skin types due to the varying behavior of light in different epidermal melanin concentrations, especially at 660 nm. The ratio between the mean bias in White and Black subjects in the cohort study was 6.6 and 5.47 for light and dark skin, respectively, from the Monte Carlo model. A linear multiplication factor of 1.23 and exponential factor of 1.8 were applied to moderate and dark skin calibration curves, resulting in similar alignment.
    UNASSIGNED: This study underpins the careful re-assessment of pulse oximeter designs to minimize bias in SpO 2 measurements across diverse populations.
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  • 文章类型: Journal Article
    本研究旨在开发一种非参数混合指数加权移动平均移动平均(NPEWMA-MA)符号控制图,用于监控过程位置的变化,特别是当关键质量特征的分布未知或非正态分布时。在文学中,混合指数加权移动平均-移动平均(EWMA-MA)统计量的方差表达式是通过允许顺序移动平均独立来计算的,因此,排除协方差项导致不准确的方差表达式。此外,当关键质量特性的分布偏离正常性时,EWMA-MA控制图的有效性恶化。拟议的NPEWMA-MA符号控制图通过利用EWMA-MA统计量的校正方差并将非参数符号检验纳入EWMA-MA图表结构来解决这些问题。该图表将移动平均(MA)统计量集成到指数加权移动平均(EWMA)统计量中。EWMA-MA图表统计量为最近的w个样本分配了更多的权重,先前观测值的权重呈指数递减。蒙特卡罗模拟使用各种游程长度(RL)特性评估图表的性能,例如平均游程长度(ARL)、游程长度标准偏差(SDRL),和中位运行长度(MRL)。总体性能的其他度量包括平均额外二次损失(AEQL)和相对平均指数(RMI)。与跨不同对称和非对称分布的现有非参数控制图相比,所提出的NPEWMA-MA符号控制图表现出卓越的性能。它有效地检测流程变化,通过模拟研究和联合循环发电厂的真实示例进行了验证。
    This study aims to develop a nonparametric mixed exponentially weighted moving average-moving average (NPEWMA-MA) sign control chart for monitoring shifts in process location, particularly when the distribution of a critical quality characteristic is either unknown or non-normal. In literature, the variance expression of the mixed exponentially weighted moving average-moving average (EWMA-MA) statistic is calculated by allowing sequential moving averages to be independent, and thus the exclusion of covariance terms results in an inaccurate variance expression. Furthermore, the effectiveness of the EWMA-MA control chart deteriorates when the distribution of a critical quality characteristic deviates from normality. The proposed NPEWMA-MA sign control chart addresses these by utilizing the corrected variance of the EWMA-MA statistic and incorporating the nonparametric sign test into the EWMA-MA charting structure. The chart integrates the moving average (MA) statistic into the exponentially weighted moving average (EWMA) statistic. The EWMA-MA charting statistic assigns more weight to recent w samples, with weights for previous observations decling exponentially. Monte Carlo simulations assess the chart\'s performance using various run length (RL) characteristics such as average run length (ARL), standard deviation of run length (SDRL), and median run length (MRL). Additional measures for overall performance include the average extra quadratic loss (AEQL) and relative mean index (RMI). The proposed NPEWMA-MA sign control chart demonstrates superior performance compared to existing nonparametric control charts across different symmetrical and asymmetric distributions. It efficiently detects process shifts, as validated through both a simulated study and a real-life example from a combined cycle power plant.
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  • 文章类型: Journal Article
    时间到事件数据通常记录在一个离散的尺度上,具有多个,相互竞争的风险作为事件的潜在原因。在这种情况下,应用具有单一风险的连续生存分析方法存在估计偏差。因此,我们提出了多变量伯努利检测器,用于具有离散时间的竞争风险,其中涉及针对特定原因的基线风险的多变量变点模型.通过先验上的变化点的数量和它们的位置,我们在不同风险的变化点之间施加依赖性,以及允许数据驱动学习他们的数量。然后,有条件地在这些变化点上,多变量伯努利先验用于推断涉及哪些风险。后验推理的重点是特定于原因的危险率和跨风险的依赖性。这种依赖性通常是由于影响所有风险的特定受试者随时间的变化而存在的。完全后验推理是通过定制的局部-全局马尔可夫链蒙特卡罗(MCMC)算法执行的,它利用了数据增强技巧和来自非共轭贝叶斯非参数方法的MCMC更新。我们在模拟和ICU数据中说明了我们的模型,将其性能与现有方法进行比较。
    Time-to-event data are often recorded on a discrete scale with multiple, competing risks as potential causes for the event. In this context, application of continuous survival analysis methods with a single risk suffers from biased estimation. Therefore, we propose the multivariate Bernoulli detector for competing risks with discrete times involving a multivariate change point model on the cause-specific baseline hazards. Through the prior on the number of change points and their location, we impose dependence between change points across risks, as well as allowing for data-driven learning of their number. Then, conditionally on these change points, a multivariate Bernoulli prior is used to infer which risks are involved. Focus of posterior inference is cause-specific hazard rates and dependence across risks. Such dependence is often present due to subject-specific changes across time that affect all risks. Full posterior inference is performed through a tailored local-global Markov chain Monte Carlo (MCMC) algorithm, which exploits a data augmentation trick and MCMC updates from nonconjugate Bayesian nonparametric methods. We illustrate our model in simulations and on ICU data, comparing its performance with existing approaches.
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  • 文章类型: Journal Article
    暴露于电离辐射可以通过未修复的DNA链断裂诱导遗传畸变。定量研究分子水平的剂量-效应关系,我们用3MeV质子辐照了干燥的pBR322质粒DNA,并使用牛津纳米孔技术公司的长读数测序评估了不同辐射剂量下的片段产量。这项技术应用于参考DNA模型,揭示了剂量依赖性片段化,正如读取长度分布所证明的那样,在特定的遗传序列中没有明显的辐射敏感性。此外,我们提出了一种直接测量单链断裂(SSB)产率的方法。此外,通过与以前关于干DNA辐照的作品的比较研究,我们表明辐照协议导致电离源定义的偏差。我们通过根据Geant4和Geant4-DNA模拟工具包预测讨论纳米孔测序读数的大小分布来支持这种情况。我们表明,将长读数测序技术与先进的蒙特卡洛模拟相结合,为推进我们对辐射诱导的DNA片段的理解和预测铺平了一条有希望的道路。
    Exposure to ionizing radiation can induce genetic aberrations via unrepaired DNA strand breaks. To investigate quantitatively the dose-effect relationship at the molecular level, we irradiated dry pBR322 plasmid DNA with 3 MeV protons and assessed fragmentation yields at different radiation doses using long-read sequencing from Oxford Nanopore Technologies. This technology applied to a reference DNA model revealed dose-dependent fragmentation, as evidenced by read length distributions, showing no discernible radiation sensitivity in specific genetic sequences. In addition, we propose a method for directly measuring the single-strand break (SSB) yield. Furthermore, through a comparative study with a collection of previous works on dry DNA irradiation, we show that the irradiation protocol leads to biases in the definition of ionizing sources. We support this scenario by discussing the size distributions of nanopore sequencing reads in the light of Geant4 and Geant4-DNA simulation toolkit predictions. We show that integrating long-read sequencing technologies with advanced Monte Carlo simulations paves a promising path toward advancing our comprehension and prediction of radiation-induced DNA fragmentation.
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  • 文章类型: Journal Article
    这项研究考察了地震灾害对美国西海岸铁路基础设施的影响(华盛顿,俄勒冈州和加利福尼亚州),利用机器学习探索断层密度等地震危险性的衡量标准,地震频率,地面震动与铁路基础设施事故有关。通过比较线性和非线性模型,它发现非线性方法优越,特别指出,较高的断层密度和较强的峰值地面震动与基础设施事故率的增加有关。震级在3.5级以上且震中深度<20km的浅地震也与铁路基础设施事故的发生率显着相关。该研究通过净现值和蒙特卡洛模拟扩展到财务影响分析,并评估2000-2023年的损害成本,以指导财务规划和风险管理战略。它强调了先进的金融工具在优化维护和长期规划方面的关键作用,这些工具可能会在高地震危险区带来更好的准备,并强调需要采取稳健的风险管理策略来提高铁路运营安全性,同时考虑到当地和区域构造和地震活动以及当地的地面震动强度。
    This research examines the seismic hazard impact on railway infrastructure along the U.S. West Coast (Washington, Oregon and California), using machine learning to explore how measures of seismic hazard such as fault density, earthquake frequency, and ground shaking relate to railway infrastructure accidents. By comparing linear and non-linear models, it finds non-linear approaches superior, particularly noting that higher fault densities and stronger peak ground shaking correlate with increased infrastructure accident rates. Shallow earthquakes with magnitudes of 3.5 or greater and hypocentral depths <20 km also exhibit a pronounced correlation with the incidence of railway infrastructure accidents The study extends to financial impact analysis through Net Present Value and Monte Carlo Simulation, and evaluates damage costs from 2000-2023 to guide financial planning and risk management strategies. It highlights the crucial role of advanced financial tools in optimizing maintenance and long-term planning that could result in better preparedness in high seismic hazard regions and emphasizes the need for robust risk management strategies in enhancing railway operational safety that considers the local and regional tectonic and seismic activity and local ground shaking intensity.
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  • 文章类型: Journal Article
    早期使用靶向放射性核素治疗(TRT)根除播散性肿瘤细胞(DTC)可能会提供治愈方法。需要选择适当的放射性核素。这项工作突出了103Pd(T1/2=16.991d)的电势,该电势衰减到103mRh(T1/2=56.12min),然后稳定到103Rh,并发射俄歇和转换电子。方法:使用MonteCarlo轨道结构代码CELLDOSE评估单细胞(直径14μm;10μm核)和19个细胞簇的吸收剂量。放射性核素分布在细胞表面,在细胞质内,或者在细胞核中。103Pd的吸收剂量,能量归一化后比较177Lu和161Tb。非均匀细胞靶向的影响,并研究了双重靶向的潜在益处.与103mRh相关的其他结果,如果直接使用,提供。结果:在单细胞中,根据放射性核素的分布,103Pd的核吸收剂量比177Lu高7至10倍,膜剂量高9至25倍。在19细胞集群中,103Pd吸收剂量也大大超过177Lu。在这两种情况下,161Tb位于103Pd和177Lu之间。非统一瞄准,考虑到集群中的四个未标记的细胞,导致中度至重度剂量异质性。例如,核内103Pd,未标记的细胞仅接受预期核剂量的14%.用两种103Pd标记的放射性药物靶向使剂量异质性最小化。结论:103Pd,下一代俄歇发射器,可以向单个肿瘤细胞和细胞簇递送比177Lu高得多的吸收剂量。这可能为TRT在佐剂或新佐剂设置中的使用开辟新的视野,或针对微小残留病。
    Early use of targeted radionuclide therapy (TRT) to eradicate disseminated tumor cells (DTCs) might offer cure. Selection of appropriate radionuclides is required. This work highlights the potential of 103Pd (T1/2 = 16.991 d) which decays to 103mRh (T1/2 = 56.12 min) then to stable 103Rh with emission of Auger and conversion electrons. Methods: The Monte Carlo track structure code CELLDOSE was used to assess absorbed doses in single cells (14-μm diameter; 10-μm nucleus) and clusters of 19 cells. The radionuclide was distributed on the cell surface, within the cytoplasm, or in the nucleus. Absorbed doses from 103Pd, 177Lu and 161Tb were compared after energy normalization. The impact of non-uniform cell targeting, and the potential benefit from dual-targeting was investigated. Additional results related to 103mRh, if used directly, are provided. Results: In the single cell, and depending on radionuclide distribution, 103Pd delivered 7- to 10-fold higher nuclear absorbed dose and 9- to 25-fold higher membrane dose than 177Lu. In the 19-cell clusters, 103Pd absorbed doses also largely exceeded 177Lu. In both situations, 161Tb stood in-between 103Pd and 177Lu. Non-uniform targeting, considering four unlabeled cells within the cluster, resulted in moderate-to-severe dose heterogeneity. For example, with intranuclear 103Pd, unlabeled cells received only 14% of the expected nuclear dose. Targeting with two 103Pd-labeled radiopharmaceuticals minimized dose heterogeneity. Conclusion: 103Pd, a next-generation Auger emitter, can deliver substantially higher absorbed doses than 177Lu to single tumor cells and cell clusters. This may open new horizons for the use of TRT in adjuvant or neoadjuvant settings, or for targeting minimal residual disease.
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  • 文章类型: Journal Article
    中断时间序列(ITS)设计越来越多地用于估计自然实验中冲击的影响。目前,ITS设计通常用于具有许多时间点和简单数据结构的场景。本研究调查了在时间点数量有限且数据结构复杂的情况下ITS设计的性能。使用蒙特卡罗模拟研究,我们从经验上推导了性能-在权力方面,ITS设计的偏见和精确性。考虑多种干预措施的情况,基于COVID学校停课导致学习损失的一个激励性例子,时间点数量少,影响大小不同。模拟研究的结果表明,阶跃变化的功率主要取决于样本大小,而斜率变化的功率取决于时间点的数量。在基本场景中,具有步长和坡度变化,并且效果大小为干预前坡度的30%,检测阶跃变化所需的样本量为1100,最少为十二个时间点。为了检测斜率变化,所需的样本大小在八个时间点下减少到500。为了确定是否有足够的电力研究人员应该检查他们的数据,假设效应大小,并在将ITS设计应用于他们的研究之前考虑一个合适的模型。本文从两个方面为方法论领域做出了贡献。首先,动机示例展示了在不坚持单一干预的情况下采用ITS设计的困难。其次,提出了更困难的ITS设计模型,并对其性能进行了测试。
    Interrupted time series (ITS) designs are increasingly used for estimating the effect of shocks in natural experiments. Currently, ITS designs are often used in scenarios with many time points and simple data structures. This research investigates the performance of ITS designs when the number of time points is limited and with complex data structures. Using a Monte Carlo simulation study, we empirically derive the performance-in terms of power, bias and precision- of the ITS design. Scenarios are considered with multiple interventions, a low number of time points and different effect sizes based on a motivating example of the learning loss due to COVID school closures. The results of the simulation study show the power of the step change depends mostly on the sample size, while the power of the slope change depends on the number of time points. In the basic scenario, with both a step and a slope change and an effect size of 30% of the pre-intervention slope, the required sample size for detecting a step change is 1,100 with a minimum of twelve time points. For detecting a slope change the required sample size decreases to 500 with eight time points. To decide if there is enough power researchers should inspect their data, hypothesize about effect sizes and consider an appropriate model before applying an ITS design to their research. This paper contributes to the field of methodology in two ways. Firstly, the motivation example showcases the difficulty of employing ITS designs in cases which do not adhere to a single intervention. Secondly, models are proposed for more difficult ITS designs and their performance is tested.
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  • 文章类型: Journal Article
    传统的通过分析应力-应变曲线确定裂隙岩石闭合和起始应力的方法存在主观性强、误差大等问题。本研究利用三种传统方法确定的岩石闭合应力值和起始应力值,即,轴向应变法,裂缝体积法和经验值取法,作为基础数据库。利用Studentt分布理论,根据其值的总体分布获得置信区间,并实现多种方法优势的结合。在置信区间内,采用蒙特卡洛随机模拟确定第二阶段的收敛区间,进一步提高了精度。最后,将达到收敛阶段后的随机抽样值的平均值作为岩石闭合和裂纹起始应力的概率值。结果表明,3种传统方法计算岩石闭合和起始应力存在显著差异。相比之下,所提出的方法更偏向于多数值分布区间,并且还考虑了不同计算方法的偏好效应。此外,这种方法没有显示任何偏离置信区间的极值,与其他方法相比,具有较强的准确性和稳定性。
    Traditional method of determining closure and initiation stress of fractured rocks by analyzing the stress-strain curve has problems such as strong subjectivity and large errors. This study utilized the rock closure stress values and onset stress values determined by three traditional methods, namely, axial strain method, fracture volume method and empirical value taking method, as the base database. The Student t distribution theory was used to obtain a confidence interval based on its overall distribution of values and to achieve a combination of the advantages of multiple methods. Within confidence interval, the Monte Carlo stochastic simulation was used to determine the convergence interval of the second stage to further improve the accuracy. Finally, mean value of the randomly sampled values after reaching the convergence stage was taken as the probability value of rock closure and crack initiation stress. The results showed that the 3 traditional methods for calculating rock closure and initiation stresses are significantly different. In contrast, the proposed method biases more towards multi-numerical distribution intervals and also considers the preference effects of different calculation methods. In addition, this method does not show any extreme values that deviate from the confidence intervals, and it has strong accuracy and stability compared to other methods.
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