Studia Geophysica et Geodaetica最新文献_第6页

Alternative formulae for robust Weighted Total Least-Squares solutions for Errors-In-Variables models 误差变量模型鲁棒加权总最小二乘解的替代公式

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-03-12 DOI: 10.1007/s11200-019-0282-z

Zhipeng Lv, Lifen Sui

{"title":"Alternative formulae for robust Weighted Total Least-Squares solutions for Errors-In-Variables models","authors":"Zhipeng Lv, Lifen Sui","doi":"10.1007/s11200-019-0282-z","DOIUrl":"https://doi.org/10.1007/s11200-019-0282-z","url":null,"abstract":"Weighted Total Least-Squares (WTLS) can optimally solve the issue of parameter estimation in the Errors-In-Variables (EIV) model; however, this method is relatively sensitive to outliers that may exist in the observation vector and/or the coefficient matrix. Hence, an attempt to identify/suppress those outliers is in progress and will ultimately lead to a novel robust estimation procedure similar to the one used in the Gauss-Markov model. The method can be considered as a follow-up to the WTLS solution formulated with the standard Least-Squares framework. We utilize the standardized total residuals to construct the equivalent weights, and apply the median method to obtain a robust estimator of the variance to provide good robustness in the observation and structure spaces. Moreover, a preliminary analysis for the robustness of related estimators within the EIV model is conducted, which shows that the redescending M-estimates are more robust than the monotonic ones. Finally, the efficacy of the proposed algorithm is demonstrated through two applications, i.e. 2D affine transformation and linear regression on simulated data and on real data with some assumptions. Unfortunately, the proposed algorithm may not be reliable for detecting multiple outliers. Therefore, MM-estimates within the EIV model need to be investigated in further research.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 2","pages":"105 - 127"},"PeriodicalIF":0.9,"publicationDate":"2021-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-019-0282-z","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4505427","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Assessment of state of earth dam of Elchovka settling pond by combination of electromagnetic soundings and polarization methods 电磁测深与极化法结合评价埃尔霍夫卡沉降池土坝状态

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-02-22 DOI: 10.1007/s11200-020-0114-1

Vadim A. Davydov, Olga I. Fedorova, Vitaliy Y. Gorshkov, Sergey V. Baydikov

{"title":"Assessment of state of earth dam of Elchovka settling pond by combination of electromagnetic soundings and polarization methods","authors":"Vadim A. Davydov, Olga I. Fedorova, Vitaliy Y. Gorshkov, Sergey V. Baydikov","doi":"10.1007/s11200-020-0114-1","DOIUrl":"https://doi.org/10.1007/s11200-020-0114-1","url":null,"abstract":"Earth dams are constantly under the hydraulic pressure. Their long-term operation leads to arising of zones of increased water cut and filtration in body and base of dams. This weakens dam’s strength. Geophysical methods can be used to control condition of the soil structures. We describe the research results of the Elchovka earth dam by a complex of electrometric methods, as they are most sensitive to changes in soil moisture. We applied the self-potential (SP) method, the vertical electrical soundings (VES) and the remote induction soundings (RIS) with the study of the frequency dispersion of electrical resistivity. Main pathways of the water filtration were identified by the self-potential method. According to the results of RIS, the boundary between bulk and natural soils as well as the boundary between sedimentary and bedrock are clearly distinguished. Electric soundings on direct current (VES) allowed us to localize places with reduced resistivities due to increased soil moisture. Frequency dispersion anomalies, which can also indicate water filtration in bulk soils and bedrock, were found. On the investigated dam, anomalies of the electrical conductivity and the frequency dispersion coincide with anomalies of the self-potential. This indicates increased filtration. Thus, the use of the remote induction soundings and the frequency dispersion methods together with widely applied VES and SP methods enhances the reliability of research and provides additional information about the hydrogeological situation in the area of the dam.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 2","pages":"206 - 218"},"PeriodicalIF":0.9,"publicationDate":"2021-02-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-0114-1","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4855585","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Post-stack seismic data interpolation using a fast non-local similarity matching algorithm 基于快速非局部相似度匹配算法的叠后地震数据插值

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-02-15 DOI: 10.1007/s11200-020-0133-y

Siyuan Chen, Siyuan Cao, Haokun Wang, Yaoguang Sun, Yankai Xu

{"title":"Post-stack seismic data interpolation using a fast non-local similarity matching algorithm","authors":"Siyuan Chen, Siyuan Cao, Haokun Wang, Yaoguang Sun, Yankai Xu","doi":"10.1007/s11200-020-0133-y","DOIUrl":"https://doi.org/10.1007/s11200-020-0133-y","url":null,"abstract":"In the process of seismic data acquisition, there are often missing seismic traces in seismic records, so it is necessary to reconstruct the missing data to provide high-quality data for subsequent seismic data migration and reservoir inversion. Traditional interpolation methods for post-stack seismic data are based on the sparse constraint in the frequency-wavenumber (f-k) domain. However, the data completed using the interpolation method usually leads to the loss of some weak signals when the dip of the post-stack seismic profile is complex. In this paper, the missing data could be regarded as the result of irregular noise with the same waveform and the original signal but with the opposite polarity. The non-local similarity in the denoising algorithm is introduced as a low-rank promoting transform of the low-rank regularization term, and an interpolation method based on non-local similarity is proposed (NLS-WNNM). Furthermore, a fast matching algorithm is developed to search and match the non-local similarity of missing seismic traces (abbreviation FNLS-WNNM), which reduces the loss of weak signals during interpolation. The traditional interpolation method based on f-k domain is compared with the NLS-WNNM to highlight the advancement of the method. Finally, the interpolation test applied to field data confirmes the robustness of the proposed method.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 1","pages":"59 - 69"},"PeriodicalIF":0.9,"publicationDate":"2021-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-0133-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4601498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 3

Velocity structure of the upper crust beneath the Jiaonan uplift and its adjacent areas, China 胶南隆起及其邻区上地壳速度结构

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-02-15 DOI: 10.1007/s11200-020-0164-4

Jinchao Shen, Song Yao

{"title":"Velocity structure of the upper crust beneath the Jiaonan uplift and its adjacent areas, China","authors":"Jinchao Shen, Song Yao","doi":"10.1007/s11200-020-0164-4","DOIUrl":"https://doi.org/10.1007/s11200-020-0164-4","url":null,"abstract":"The Jiaonan uplift and its adjacent areas (JUAA) are the result of collision and amalgamation of the North China plate and Yangtze plate. In this area, the tectonic environment is complex and crustal deformation is strong. However, detailed and in-depth study of the upper crustal structure and medium properties in the JUAA has not previously been performed. The high-resolution three-dimensional crustal velocity structure of the JUAA is helpful to analyze the characteristics of the crustal structure in this area and is important for evaluating the tectonic environment and medium properties of the JUAA. We obtained the three-dimensional crustal velocity structure in the JUAA using the double-difference seismic tomography technique, and found that the Rizhao area and the sea areas to its southwest in the Jiaonan uplift are characterized by a high-velocity structure, and that most of the high-velocity anomaly area is located in the sea area. The crustal velocity values of the southern end of the Yishu fault zone are also high. The high crustal velocity anomaly areas in the JUAA are considered to be caused by the upwelling of mantle material. The velocity structure of the upper crust beneath the depression structures shows notable low-velocity anomalies, which are closely related to loose sediments in the depression structures. The existence of abnormally high-velocity and low-velocity structures in the Jiaonan uplift indicates that there are substantial differences in the properties of the crustal media in the Jiaonan uplift. Crust-mantle interaction in the Jiaonan uplift is mainly concentrated in the Rizhao area and sea areas to its southwest.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 2","pages":"168 - 183"},"PeriodicalIF":0.9,"publicationDate":"2021-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-0164-4","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4895105","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Vertical distribution of magnetic susceptibility as affected by pedoenvironmental factors along an arid and semi-arid transect, Fars Province, Iran 伊朗法尔斯省干旱半干旱样带磁化率垂直分布受土壤环境因子影响

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-02-04 DOI: 10.1007/s11200-020-1259-7

Sahar Taghdis, Mohammad Hady Farpoor, Majid Fekri, Majid Mahmoodabadi

{"title":"Vertical distribution of magnetic susceptibility as affected by pedoenvironmental factors along an arid and semi-arid transect, Fars Province, Iran","authors":"Sahar Taghdis, Mohammad Hady Farpoor, Majid Fekri, Majid Mahmoodabadi","doi":"10.1007/s11200-020-1259-7","DOIUrl":"https://doi.org/10.1007/s11200-020-1259-7","url":null,"abstract":"Soil magnetism provides valuable information about soil-landscape relationships and soil evolution. However, only limited number of studies on the relationship between soil magnetic properties and soil forming factors and processes, especially in arid and semi-arid regions, are available. The aim of this study was to determine vertical distribution of soil magnetic susceptibility and selected pedoenvironmental parameters and to interpret them in terms of the soil evolution. Eight representative soil profiles were selected on different geomorphic surfaces including alluvial fan, piedmont plain and flood plain. Soil samples were collected from different diagnostic horizons and analyzed for routine physico-chemical properties, different iron forms and magnetic susceptibility. The average values of magnetic susceptibility (χlf) and relative frequency-dependent magnetic susceptibility in the studied soils are 53.1 × 10?8 m3 kg?1 and 2.62%, respectively, with the latter ranging from 0 to 6.88%. The negative significant correlation (with correlation coefficient R = ?0.48 and statistical significance p < 0.01) between soil evolution index (ratio of acid oxalate soluble and free Fe oxides — Feo/Fed) and χlf values indicated that χlf increased with soil evolution. A positive significant correlation between χlf and Fed (and Fed — Feo) values, and a negative significant correlation between χlf and CaCO3 values were observed. The vertical distribution of χlf along the studied profiles showed different patterns (uniform, non-uniform, ascending and descending) with depth. Overall, the results indicated that the χlf distribution along the soil profiles was affected by topography, distribution of different iron forms, soil evolution, and weathering rate in different soil layers.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 1","pages":"86 - 103"},"PeriodicalIF":0.9,"publicationDate":"2021-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-1259-7","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4156491","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Representation theorem for viscoelastic waves with a non-symmetric stiffness matrix 非对称刚度矩阵粘弹性波的表示定理

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-02-01 DOI: 10.1007/s11200-020-0158-2

Luděk Klimeš

{"title":"Representation theorem for viscoelastic waves with a non-symmetric stiffness matrix","authors":"Luděk Klimeš","doi":"10.1007/s11200-020-0158-2","DOIUrl":"https://doi.org/10.1007/s11200-020-0158-2","url":null,"abstract":"In an elastic medium, it was proved that the stiffness tensor is symmetric with respect to the exchange of the first pair of indices and the second pair of indices, but the proof does not apply to a viscoelastic medium. In this paper, we thus derive the representation theorem for viscoelastic waves in a medium with a non-symmetric stiffness matrix. The representation theorem expresses the wave field at a receiver, situated inside a subset of the definition volume of the viscoelastodynamic equation, in terms of the volume integral over the subset and the surface integral over the boundary of the subset. For the given medium, we define the complementary medium corresponding to the transposed stiffness matrix. We define the frequency-domain complementary Green function as the frequency-domain Green function in the complementary medium. We then derive the provisional representation theorem as the relation between the frequency-domain wave field in the given medium and the frequency-domain complementary Green function. This provisional representation theorem yields the reciprocity relation between the frequency-domain Green function and the frequency-domain complementary Green function. The final version of the representation theorem is then obtained by inserting the reciprocity relation into the provisional representation theorem.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 1","pages":"53 - 58"},"PeriodicalIF":0.9,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-0158-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4022304","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

A data-driven method for time-varying wavelet extraction based on the local frequency spectrum 一种基于局域频谱的时变小波提取方法

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-02-01 DOI: 10.1007/s11200-020-1251-2

Yumeng Jiang, Siyuan Cao, Siyuan Chen, Duo Zheng

{"title":"A data-driven method for time-varying wavelet extraction based on the local frequency spectrum","authors":"Yumeng Jiang, Siyuan Cao, Siyuan Chen, Duo Zheng","doi":"10.1007/s11200-020-1251-2","DOIUrl":"https://doi.org/10.1007/s11200-020-1251-2","url":null,"abstract":"Seismic wavelet extraction always plays a central role in high-resolution seismic processing. Conventional methods assume that seismic data are stationary when a constant wavelet is considered, which ignores the time-varying characteristics of seismic wavelets. In reality, seismic data are nonstationary because of attenuation, scattering, and other physical processes during propagation, which means that the frequency spectrum of seismic signal changes from shallow to deep formations. We have developed a time-varying wavelet extraction method by using a highly energy-concentrated time-frequency representation technique. Time-varying wavelets are generated according to the local frequency spectrum at every instant. In addition, because the estimations of parameters for wavelet extraction are fully data-driven, the results of the proposed method are more accurate and suitable for the nonstationary nature of actual seismic data. Synthetic tests indicate the reliability and robustness of the proposed method, even under noise contamination. By applying the time-varying wavelet extracted using the proposed method to seismic inversion on a field data example, we obtain the deconvolution result with improved resolution and a better fit to the well-log reflectivity compared to that by using conventional wavelet extraction methods.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 1","pages":"70 - 85"},"PeriodicalIF":0.9,"publicationDate":"2021-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-1251-2","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4021352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 2

Recent Macaronesian kinematics from GNSS ground displacement analysis 基于GNSS地面位移分析的Macaronesian运动学

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-01-08 DOI: 10.1007/s11200-020-1122-x

Ignacio Barbero, Cristina Torrecillas, Raúl Páez, Gonçalo Prates, Manuel Berrocoso

{"title":"Recent Macaronesian kinematics from GNSS ground displacement analysis","authors":"Ignacio Barbero, Cristina Torrecillas, Raúl Páez, Gonçalo Prates, Manuel Berrocoso","doi":"10.1007/s11200-020-1122-x","DOIUrl":"https://doi.org/10.1007/s11200-020-1122-x","url":null,"abstract":"Macaronesia is a complex oceanic region spanning three tectonic plates in the northeast Atlantic ocean. It is composed of four archipelagos, widely distributed and limited to the east by the Iberian Peninsula and north-western coast of Africa. This study aims to clarify recent Macaronesian kinematics from 19 GNSS stations located on the four archipelagos and the Iberian and African coastlines. The analysis is based on nearly 15 years of common data acquisition and aimed to detect new effects of intraplate tectonics or similar local/regional events consistent with calculated ground displacements. Evaluating the GNSS stations residual velocities relative to those expected from the NNR-MORVEL56 model, higher residuals were found at continental coastal stations (Africa) than at oceanic ones (Canaries and Madeira). From the computed strain rate map, the possible existence of a shear zone connecting the Gloria and Transmoroccan fault systems, already mentioned by other authors, was depicted. Cluster statistical analysis of the horizontal residual velocities helped to identify tectonic boundaries in Macaronesia and four groups of analogous intraplate residual velocities within this region. Three of four groups were identified in the Azores, highlighting the African-Nubian-Eurasian diffuse plate boundary in this region. Furthermore, in the Canary Islands, two distinct kinematic behaviours were detected, possibly due to the activity along a previously detected tectonic fault between Tenerife and Gran Canaria, where some stations have similar intraplate residuals to those at Madeira and Cape Verde stations, while others have similar intraplate residuals to those of continental stations. Finally, all stations on oceanic crust, except Cape Verde, present recent ground subsidence which may be attributed to isostatic adjustment.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 1","pages":"15 - 35"},"PeriodicalIF":0.9,"publicationDate":"2021-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-1122-x","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4340939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1

Mantle deformation and seismic anisotropy beneath Northeast India inferred from SKKS birefringence 由SKKS双折射推断的印度东北部地幔形变和地震各向异性

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-01-08 DOI: 10.1007/s11200-020-1121-y

Poulommi Mondal, Debasis D. Mohanty

{"title":"Mantle deformation and seismic anisotropy beneath Northeast India inferred from SKKS birefringence","authors":"Poulommi Mondal, Debasis D. Mohanty","doi":"10.1007/s11200-020-1121-y","DOIUrl":"https://doi.org/10.1007/s11200-020-1121-y","url":null,"abstract":"The present study produces very new SKKS splitting measurements from the Northeast India, suggesting the region as tectonically more heterogeneous and complex in nature. It fills the gap of anisotropic parameters from an epicentral range of 140°–180° in order to understand the lithospheric deformation patterns of the terrain in a better way. The splitting parameters namely polarisation direction of fast waves (?) and delay time are the manifestation of anisotropic effects of a medium. The present SKKS splitting measurements from nine broadband seismic stations in Northeast India incorporate new understandings of deformation patterns for this region. At the Himalayan collision zone and sub-Himalayan region, the deformation pattern showing a perfect alignment of the ? parallel to the collisional arc (Main Boundary Thrust, Main Central Thrust), suggests that a localized strain derived from N-S Indo-Eurasian collision is the major source behind its complex tectonics. The SKKS splitting measurements at Assam foredeep region streamline the effect of Kopili fault in controlling the deformation patterns in a NW-SE direction. There is a significant difference in anisotropic behaviour of stations at the northern Shillong plateau compared to the stations at its southern proximity. The absolute plate motion (APM) parallel to ? in northern fringe of the plateau strictly indicates the influence of asthenospheric flow, which in turn is driven by APM of Indian plate in a no net rotation reference frame. On the other hand, major regional structures like the Dauki and Dapsi faults control the anisotropic pattern at the southern extremity of this plateau.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 1","pages":"36 - 52"},"PeriodicalIF":0.9,"publicationDate":"2021-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-1121-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4340940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 5

A new univariate deformation analysis approach considering displacements as model errors 一种考虑位移作为模型误差的单变量变形分析新方法

IF 0.9 4区地球科学

Studia Geophysica et Geodaetica Pub Date : 2021-01-08 DOI: 10.1007/s11200-020-1024-y

Bahattin Erdogan, Serif Hekimoglu, Utkan Mustafa Durdag

{"title":"A new univariate deformation analysis approach considering displacements as model errors","authors":"Bahattin Erdogan, Serif Hekimoglu, Utkan Mustafa Durdag","doi":"10.1007/s11200-020-1024-y","DOIUrl":"https://doi.org/10.1007/s11200-020-1024-y","url":null,"abstract":"In Conventional Deformation Analysis (CDA), at least two different epochs are adjusted by using the Least Squares Estimation (LSE) method and compared statistically. The effect of the geometry of the network is an essential part of the adjustment model and the LSE method smears the effects of the displaced point over the other nondisplaced points. In this study, to remove these spoiling effects and to increase the reliability of the deformation analysis, a new approach is introduced. This approach depends on the analysis of the differences between observations of the two epochs, and also considers the principles of the model error approach. All possible combinations of the differences of the observations are considered as model errors in Gauss-Markov model and the estimated model error for the combination, that has the smallest variance, is compared with a critical value to answer the question whether it is significant or not. To compare the results of the new approach with the CDA, the Monte Carlo simulation technique and mean success rate are used in a leveling network. As a consequence, according to the simulation results, the new approach is better than the CDA by 7.6% and 9.7% for one and two displaced points, respectively, when the deformation network is designed as a subnetwork.","PeriodicalId":22001,"journal":{"name":"Studia Geophysica et Geodaetica","volume":"65 1","pages":"1 - 14"},"PeriodicalIF":0.9,"publicationDate":"2021-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/s11200-020-1024-y","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4340927","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 1