Quantitative evaluation of lateral sealing of extensional fault by an integral mathematical-geological model

To evaluate the lateral sealing mechanism of extensional fault based on the pressure difference between fault and reservoir, an integral mathematical-geological model of diagenetic time on diagenetic pressure considering the influence of diagenetic time on the diagenetic pressure and diagenetic degree of fault rock has been established to quantitatively calculate the lateral sealing ability of extensional fault. By calculating the time integral of the vertical stress and horizontal in-situ stress on the fault rock and surrounding rock, the burial depth of the surrounding rock with the same clay content and diagenesis degree as the target fault rock was worked out. In combination with the statistical correlation of clay content, burial depth and displacement pressure of rock in the study area, the displacement pressure of target fault rock was calculated quantitatively. The calculated displacement pressure was compared with that of the target reservoir to quantitatively evaluate lateral sealing state and ability of the extensional fault. The method presented in this work was used to evaluate the sealing of F_(1), F_(2) and F_(3) faults in No.1 structure of Nanpu Sag, and the results were compared with those from fault-reservoir displacement pressure differential methods without considering the diagenetic time and simple considering the diagenetic time. It is found that the results calculated by the integral mathematical-geological model are the closest to the actual underground situation, the errors between the hydrocarbon column height predicted by this method and the actual column height were 0–8 m only, proving that this model is more feasible and credible.

Application of oblique photogrammetry technique in geological hazard identification and decision management

With the continuous development of the oblique photography technique, it has been used more and more widely in the field of geological disasters. It can quickly obtain the three-dimensional(3D) real scene model of dangerous mountainous areas under the premise of ensuring the safety of personnel while restoring the real geographic information as much as possible. However, geological disaster areas are often accompanied by many adverse factors such as cliffs and dense vegetation. Based on this, the paper introduced the flight line design of oblique photogrammetry, analyzed the multi-platform data fusion processing, studied the multi-period data dynamic evaluation technology and proposed the application methods of data acquisition, early warning, disaster assessment and decision management suitable for geological disaster identification through the analysis of actual cases, which will help geologists to plan and control geological work more scientifically and rationally, improve work efficiency and reduce the potential personnel safety hazards in the process of geological survey, to offer technical support to the application of oblique photogrammetry in geological disaster identification and decision making and provide the scientific basis for personal and property safety protection and later-stage geological disaster management in disaster areas.

Critical Analysis of Increasingly Mathematical Economics in the Modern Society

This paper critically examines the escalating trend of mathematization in economics,highlighting its implications and controversies in contemporary economic research.While the application of sophisticated mathematical models and statistical techniques has enhanced the precision,rigor,and status of economics within academia and practical application,concerns arise regarding the potential oversimplification and detachment from real-world complexities.The adoption of mathematical tools has arguably led to a focus on theoretically tractable problems at the expense of those more relevant to practical economic and social issues.This paper explores both the benefits and limitations of this trend,discussing how the reliance on quantitative methods affects the innovation,comprehensibility,and application of economic theories.We argue for a balanced approach that fosters innovation by integrating qualitative insights and embracing interdisciplinary methods to ensure economics remains both rigorous and relevant to societal needs.

Optimization of integrated geological-engineering design of volume fracturing with fan-shaped well pattern

According to the variable toe-to-heel well spacing, combined with the dislocation theory, discrete lattice method, and finite-element-method(FEM) based fluid-solid coupling, an integrated geological-engineering method of volume fracturing for fan-shaped well pattern is proposed considering the geomechanical modeling, induced stress calculation, hydraulic fracturing simulation, and post-frac productivity evaluation. Besides, we propose the differential fracturing design for the conventional productivity-area and the potential production area for fan-shaped horizontal wells. After the fracturing of the conventional production area for H1 fan-shaped well platform, the research shows that the maximum reduction of the horizontal principal stress difference in the potential productivity-area is 0.2 MPa, which cannot cause the stress reversal, but this reduction is still conducive to the lateral propagation of hydraulic fractures. According to the optimized fracturing design, in zone-Ⅰ of the potential production area, only Well 2 is fractured, with a cluster spacing of 30 m and an injection rate of 12 m^(3)/min per stage;in zone-Ⅱ, Well 2 is fractured before Well 3, with a cluster spacing of 30 m and an injection rate of 12 m^(3)/min per stage. The swept area of the pore pressure drop in the potential production area is small, showing that the reservoir is not well developed. The hydraulic fracturing in the toe area can be improved by, for example, properly densifying the fractures and adjusting the fracture distribution, in order to enhance the swept volume and increase the reservoir utilization.

Mathematical model analysis of new-type magnetic integrated CRT considering magnetic leakage

A novel magnetic integrated controllable reactor of transformer type(CRT)has the advantages of simple structure,flexible assembly,convenient maintenance and practicability.To analyze its operation characteristics accurately,we establish corresponding equivalent mathematical model considering magnetic leakage based on magnetic circuit and circuit dualistic transformation method.The distribution of magnetic leakage field of each winding is analyzed qualitatively,and the analytical calculation formulas of magnetizing inductance and leakage inductance of each winding are derived.Based on this,the analytical calculation formulas of short-circuit impedance and winding current of CRT under different working conditions are derived.The field-circuit coupling finite element model of the magnetic integrated CRT is established to simulate the current of each winding under different working conditions.The results show that the analytical calculation results of each winding current have good consistency with the finite element calculation results,indicating the validity of CRT equivalent mathematical model and correctness of the analytical formulas of leakage inductance,short-circuit impedance and winding current of CRT.The working winding current of CRT is increasing gradually with the operation of control winding in turn to realise the transition of CRT compensation capacity from zero to a rated value.

Past and Future of Mathematical Geology

This is a brief review of alternative methods of problem-solving in geoscience with emphasis on the role of mathematical geology. It is desirable to maintain a clear-cut distinction between reliable facts which can be stored in data banks and concepts that can be incorporated in the specifications of statistical models designed for specific purposes. If possible, subjective probabilities should be incorporated in hypotheses that are to be tested by statistical inference.

COMPUTER SYSTEM FOR GEOMETRIC MODELING OF GEOLOGIC BODIES AND APPLICATIONS

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Integrated Process for Production of Surfactin(III)Modeling of Adsorption Column

The study is focused on modeling of separation process and optimization.An adsorption separation process is simulated.The surfactin production process by Bacillus subtilis ATCC 21332 followed by surfactin adsorption in a fixed-bed column packed with commercial active carbon is studied in laboratory.The adsorption column achieves high surfactin recovery(94%)by up-flow methanol elution at 25°C.The adsorption column is simulated with a complex one-dimensional plug flow dispersion model coupled with nonlinear adsorption equilibrium,based on the assumption that the adsorption of surfactin is monomolecular layer and no micelle is formed.The molecular diffusion coefficient of surfactin in water solution with electric neutrality is estimated to be 0.428×10 -5 cm 2 ·s -1 by molecular dynamics simulation.The model developed can describe the complex interplay of adsorption kinetics,fluid dynamics,and mass-transfer phenomena based on the assumption of no radial temperature and concentration gradients,and is of adequate precision.The work involved in this paper is valuable for the optimization of the production process of surfactin.

教育数学理念下大学数学“三融”教学模式研究

在教育数学理念指导下,将数学原理、课程思政、数学实验三者有机结合起来,建立高等数学“三融”教学模式“立体-循环”结构。教学过程中,采用PDCA方法,完成“三融”教学模式评价。通过教改达到提高教师的综合教学水平,调动学生学习的主动性、趣味性、实效性,提高学生运用数学思想解决实际问题的能力,培养学生形成正确三观及社会主义核心价值观,为教学改革提供一种新思路。

《小学数学与语文学科整合案例研究》成果报告

在小学数学和语文教学整合研究中凝练出小学数学和语文学科整合的“四四五”教学模式,即在教学导入、情境创设、巩固练习、课后实践四环节中融入语文元素;用歌诀提升数学学习兴趣,用统一句式设计数学习题,用课文资源拓展数学学习视野,用童话故事优化数学内容四种方式;使数学与语文在口语表达、阅读积累、写作路径、逻辑思维五种场景中相融合。

碳酸盐岩缝洞型油藏注水井储量损失原因及治理对策——以塔河油田A区为例

注水替油为塔河油田缝洞型油藏稳产的重要方式之一,近年来,注水替油失效井占比逐年提升,注水井储量损失问题日益凸显。根据单井生产特征和地质特征,通过能量指示曲线、注水指示曲线定量化分析各阶段储量变化,动静态结合并融合数模、建模一体化技术,分析了储量损失的本质原因,并针对不同储量损失类型提出不同的治理对策,恢复失控储量,提高产能。储量损失主要分为远端储量损失和体内储量损失两大类,其中,针对远端储量损失以恢复远端供液为目标,针对体内储量损失以扩大井周动用为目标。实际治理效果与数模预测方案吻合,治理效果显著。

火山岩气藏勘探开发理论技术与实践——以松南断陷白垩系火山岩为例

近20年来,中国石化东北油气分公司在松辽盆地南部的勘探进一步证明,盆地火山岩是寻找油气藏的新靶区,具有广阔的前景。东北油气分公司根据盆地勘探实践,总结了以主成藏期为关键点的“生烃灶-成藏期古构造-断盖保存-有效储层”联动演化的断陷层四元耦合控藏模式,推动了松南地区长岭断陷火石岭组大规模火山岩气藏的发现。火山岩勘探方向从营城组拓展到更深层的火石岭组,勘探目标从酸性火山岩拓展到中基性火山岩,从水上喷发到水下喷发。采用气藏精细描述技术,建模数模一体化及地质工程一体化技术,在松南断陷多口井取得产能突破,实现火山岩气藏高效开发和规模上产。

基于Creatar XModeling的地应力场模拟自动化系统研究

有限元地应力场数值模拟在石油勘探开发、工程开挖领域应用广泛,有限元应力分析软件ANSYS凭借其强大的通用处理能力受到青睐;但是在地应力分析过程中该软件建模能力较弱,不能构建复杂的三维地质模型;其建模过程烦琐,且无法直接处理钻孔、测井与地震等地学数据,同时考虑整个地应力求解过程人工参与较多,自动化水平较低。针对以上问题,地应力场模拟自动化系统将地质建模与地应力求解置于同一个平台环境下,利用三维地质建模技术构建地下岩体模型,展现地层之间的相互接触关系,并进行有限元求解得到三维地应力场分布。该系统能够提高建模效率、降低建模误差、简化材料参数设置,从而提高了地应力场建模自动化水平。

隧道涌水量预测计算方法综述

预测隧道涌水量对于保障隧道施工安全、进度、洞室稳定和人身安全问题至关重要。国内外学者已提出多种预测方法,但是存在不同适用条件,根据隧道的水文地质条件选取恰当的方法能有效提高预测精度。对解析公式法、经验公式法、数值法、随机性数学模型预测法等多种涌水量预测方法进行了系统梳理和分析,通过对这些方法的基本原理及适用条件进行综合分析,讨论了当前涌水量预测方法存在的不足之处,并提出改进方向。结果表明:解析公式法应用简单,但结果偏差较大;经验公式法源于工程案例总结,适用于相似条件下隧道涌水量预测;数值法通过数学模型模拟,可以解决复杂水文地质条件下的涌水量预测,但对勘察设计阶段获取的水文地质参数提出更高的要求;随机性数学模型方法需要大量数据来保证结果的准确性;其他方法主要依赖于地理信息系统(GIS)技术、同位素分析法等手段,通过科学分析来识别并判断地下水量及其流动通道的地质特征,需要充分的数据支持和详尽的地下勘探结果作为依据。研究成果可为实际工程中选择合适的涌水量预测方法提供参考。

地上地下一体化线性工程选址论证研究与应用

针对线性工程因线路长、范围广、自然环境复杂的特点,导致规划论证阶段难以快速掌握沿线自然条件的问题,本文以实景三维数据作为地上空间基底、三维地质模型数据作为地下空间基底、专题数据作为数据要素底板,构建了地上地下一体化的三维空间场景,并基于三维场景制定了线性工程三维选址论证分析的流程方法。以青岛规划高速公路为例,三维选址论证分析可快速掌握沿线的地上实景现状、地下地层断裂构造及各类专题要素等情况,有效提高了线性工程选址论证的效率和质量,为线性工程提供了地上地下一体化的三维选址论证新模式。

剖面浮标变体积油囊式浮力调节系统设计

为精准控制剖面浮标的垂向运动,提出一种可精确控制油量的变体积油囊式浮力调节系统,包含外油囊、增压油箱、密封性能良好的电磁球阀和可调节转速的液压泵等组件。采用拉线位移传感器实时采集增压油箱液面位置实现油量监控,并对外油囊体积进行高精度闭环反馈控制;设计极低泄漏量的液压系统,实现系统在待机状态下浮力保持长期稳定。为精确控制浮力调节系统,构建控制系统数学模型,引入比例积分微分(Proportional Integral Differential,PID)控制算法,并采用Simulink进行稳定性仿真。试验结果表明,系统可实现浮力精确控制,最大超调量低于1%,稳定性与响应速度均符合预期,验证了控制策略的可靠性。

Short-term displacement prediction for newly established monitoring slopes based on transfer learning

This study makes a significant progress in addressing the challenges of short-term slope displacement prediction in the Universal Landslide Monitoring Program,an unprecedented disaster mitigation program in China,where lots of newly established monitoring slopes lack sufficient historical deformation data,making it difficult to extract deformation patterns and provide effective predictions which plays a crucial role in the early warning and forecasting of landslide hazards.A slope displacement prediction method based on transfer learning is therefore proposed.Initially,the method transfers the deformation patterns learned from slopes with relatively rich deformation data by a pre-trained model based on a multi-slope integrated dataset to newly established monitoring slopes with limited or even no useful data,thus enabling rapid and efficient predictions for these slopes.Subsequently,as time goes on and monitoring data accumulates,fine-tuning of the pre-trained model for individual slopes can further improve prediction accuracy,enabling continuous optimization of prediction results.A case study indicates that,after being trained on a multi-slope integrated dataset,the TCN-Transformer model can efficiently serve as a pretrained model for displacement prediction at newly established monitoring slopes.The three-day average RMSE is significantly reduced by 34.6%compared to models trained only on individual slope data,and it also successfully predicts the majority of deformation peaks.The fine-tuned model based on accumulated data on the target newly established monitoring slope further reduced the three-day RMSE by 37.2%,demonstrating a considerable predictive accuracy.In conclusion,taking advantage of transfer learning,the proposed slope displacement prediction method effectively utilizes the available data,which enables the rapid deployment and continual refinement of displacement predictions on newly established monitoring slopes.

基于多维关联规则的建筑工程地质勘察数据整合研究

随着建筑工程复杂性的增加,对地质勘察数据的精确整合等各方面提出了更高要求。为解决建筑工程地质勘察数据整合问题,运用频繁模式增长树策略提取多维关联规则以优化数据质量,并采用倒数距离加权插值法构建高精度三维地质体模型。同时,以C语言编程优化模型,实现与地质模型的精确拟合。结果表明:运用该方法在工程勘察中整合地质数据,提高了叠置规则精确度,实现了BIM模型与地质体的高度一体化。该方法为地质勘察数据整合与BIM模型构建提供了新的有效路径,具有显著的应用潜力和推广价值。

“赛课一体”模式下数学建模课程群的构建与实践

数学建模与数学学科同步产生,却因数学建模竞赛而被人们熟知。全国大学生数学建模不仅是我国最具影响力的竞赛之一,也是推动我国数学教育改革的驱动力之一。文章回顾了数学建模的起源与发展,分析了数学建模课程建设中存在的问题,探索了基于“赛课一体”的数学建模教学改革模式,通过课程组建设、组织校赛、优化课程内容,将数学建模竞赛、数学建模课程建设和课程思政相融合,以赛促教、以赛促学,全面提升学生的素养和创新能力。

金矿勘探的地质特征与成矿规律分析

金矿成矿规律复杂,勘探难度较大,存在资源利用率低的问题。基于此,本文针对金矿的地质特征与成矿规律展开分析,系统研究金矿成矿的地质环境、物质来源、成矿时代与成矿作用过程,综合应用地球物理、地球化学和遥感技术,构建综合勘探模型,以期提高金矿勘探的精度和效率,实现资源的高效利用。