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1.
A new approach is proposed in order to interpret field self-potential (SP) anomalies related to simple geometric-shaped models such as sphere, horizontal cylinder, and vertical cylinder. This approach
is mainly based on solving a set of algebraic linear equations, and directed towards the best estimate of the three model
parameters, e.g., electric dipole moment, depth, and polarization angle. Its utility and validity are demonstrated through
studying and analyzing synthetic self-potential anomalies obtained by using simulated data generated from a known model and
a statistical distribution with different random errors components. Being theoretically tested and proven, this approach has
been consequently applied on two real field self-potential anomalies taken from Colorado and Turkey. A comparable and acceptable
agreement is obtained between the results derived by the new proposed method and those deduced by other interpretation methods.
Moreover, the depth obtained by such an approach is found to be very close to that obtained by drilling information. 相似文献
2.
v--vUsing Frank and Wolfe's algorithm, a new interesting nonlinear programming technique has been developed in an attempt to estimate the geometric shape factor of a buried polarized body from a residual self-potential anomaly. Furthermore, the depth, the polarization angle and the electrical dipole moment have also been derived. This algorithm is noted to be robust and its application to SP data converges rapidly towards the optimal solution. The developed technique is tested through studying synthetic data with and without random noise. As a result, the near agreement between the model geometric shape factor and the evaluated one is well recognized. The validity of this proposed technique is tested on a field example from the Ergani Copper district, Turkey. The superiority of the nonlinear programming technique over other recently published methods is shown. 相似文献
3.
E. M. Abdelrahman H. S. Saber K. S. Essa M. A. Fouda 《Pure and Applied Geophysics》2004,161(2):399-411
We have developed a least-squares minimization approach to depth determination of a buried ore deposit from numerical horizontal gradients obtained from self-potential (SP) data using filters of successive window lengths (graticule spacings). The problem of depth determination from SP gradients has been transformed into the problem of finding a solution to a nonlinear equation of the form f(z)=0. Formulas have been derived for vertical and horizontal cylinders and spheres. Procedures are also formulated to estimate the electrical dipole moment and the polarization angle. The method is applied to synthetic data with and without random noise. Finally, the validity of the method is tested on two field examples. In both cases, the depth obtained is found to be in a very good agreement with that obtained from drilling information. 相似文献
4.
E. M. Abdelrahman K. S. Soliman E. R. Abo-Ezz K. S. Essa T. M. El-Araby 《Pure and Applied Geophysics》2009,166(12):2021-2035
We have developed a new numerical method to determine the shape (shape factor), depth, polarization angle, and electric dipole moment of a buried structure from residual self-potential (SP) anomalies. The method is based on defining the anomaly value at the origin and four characteristic points and their corresponding distances on the anomaly profile. The problem of shape determination from residual SP anomaly has been transformed into the problem of finding a solution to a nonlinear equation of the form q = f (q). Knowing the shape, the depth, polarization angle and the electric dipole moment are determined individually using three linear equations. Formulas have been derived for spheres and cylinders. By using all possible combinations of the four characteristic points and their corresponding distances, a procedure is developed for automated determination of the best-fit-model parameters of the buried structure from SP anomalies. The method was applied to synthetic data with 5% random errors and tested on a field example from Colorado. In both cases, the model parameters obtained by the present method, particularly the shape and depth of the buried structures are found in good agreement with the actual ones. The present method has the capability of avoiding highly noisy data points and enforcing the incorporation of points of the least random errors to enhance the interpretation results. 相似文献
5.
This study investigates the inverse solution on a buried and polarized sphere-shaped body using the self-potential method via multilayer perceptron neural networks (MLPNN). The polarization angle (α), depth to the centre of sphere (h), electrical dipole moment (K) and the zero distance from the origin (x 0) were estimated. For testing the success of the MLPNN for sphere model, parameters were also estimated by the traditional Damped Least Squares (Levenberg–Marquardt) inversion technique (DLS). The MLPNN was first tested on a synthetic example. The performance of method was also tested for two S/N ratios (5 % and 10 %) by adding noise to the same synthetic data, the estimated model parameters with MLPNN and DLS method are satisfactory. The MLPNN also applied for the field data example in ?zmir, Urla district, Turkey, with two cross-section data evaluated by MLPNN and DLS, and the two methods showed good agreement. 相似文献
6.
A geophysical interpretative method is proposed to depth, amplitude coefficient (effective magnetization intensity), and index
parameter (effective magnetization inclination) determination of a buried structure from magnetic field data anomaly due to
a fault, a thin dike or a sphere-like structure. The method is based on the nonlinearly constrained mathematical modelling
and also on the stochastic optimization approaches. The proposed interpretative method was first tested on a theoretical synthetic
model with different random errors, where a very close agreement was obtained between the assumed and the evaluated parameters.
The validity of this method was also tested on practical field data taken from United States, Australia, India and Brazil,
where available magnetic data existed and were previously analyzed by different interpretative methods. The agreement between
the results obtained by our developed method and those obtained by the other geophysical methods is good. 相似文献
7.
E. M. Abdelrahman T. M. El-Araby A. A. Ammar H. I. Hassanein 《Pure and Applied Geophysics》1997,150(1):121-128
—We have developed a least-squares minimization approach to determine the shape (shape-factor) of a buried polarized body from a residual self-potential anomaly profile. By defining the zero anomaly distance and the anomaly value at the origin on the profile, the problem of the shape-factor determination is transformed into the problem of finding a solution of a nonlinear equation of the form f(q) = 0. Procedures are also formulated to estimate the depth of polarization angle, and the electric dipole moment. The method is applied to synthetic data with and without random noise. The obtained shape-factor agrees very well with the model shape-factor when using synthetic data. After adding ± 2 percent random error in the synthetic data, the shape factor obtained is within ± 4 percent. Finally the validity of the method is tested on a field example from the Ergani copper district, Turkey. 相似文献
8.
An interpretative method based on a nonlinearly mathematical optimization concept has been developed in this paper, in order to interpret self-potential anomalies (SP) due to horizontal cylinder, vertical cylinder, sphere and sheet-like structures. This interpretative method comprises three main steps. The first step is to formulate mathematically a nonlinearly constrained minimization problem (NCMP) to describe the geophysical problem related to the studied structure. The second one is to suggest an interior penalty function in order to convert the nonlinearly constrained minimization problem (NCMP) into a nonlinearly unconstrained minimization one (NUMP). The third step is to solve the converted nonlinearly unconstrained minimization problem (NUMP) by the well-known Hooke and Jeeves direct search algorithm in order to estimate the geophysical parameters of the studied structure, i.e., depth, polarization angle, electric dipole moment (magnitude of polarization) and geometric shape factor. The Hooke and Jeeves direct search algorithm is purposely chosen for being robust and its application to SP data allows a rapid convergence towards the optimal estimate of parameters. This interpretative method was first tested on theoretical synthetic models with different random noise, where a very close agreement was obtained between assumed and evaluated parameters.The validity of the proposed interpretative method is also tested on practical field examples taken from Turkey, India and Germany, where available SP data existed and was previously analyzed by different interpretative methods. The agreement between the results obtained by the developed method and those obtained by other published methods is good.Acknowledgment Authors would like to thank Dr. I. Othman Director General of the Atomic Energy Commission of Syria for his interest and continuous encouragement to achieve this work. Special thanks to the reviewers for their constructive suggestions aimed at enhancing the quality of this paper. 相似文献
9.
A new interpretative approach is proposed to interpret residual gravity anomaly profiles in order to determine the depth, the amplitude coefficient and the geometric shape factor of simple spherical and cylindrical buried structures. This new approach is based on both Fair function minimization and on stochastic optimization modeling. The validity of this interpretative approach is demonstrated through studying and analyzing two synthetic gravity anomalies, using simulated data generated from a known model with different random noises components and a known statistical distribution. Being theoretically proven, this new approach has been applied on three real field gravity anomalies from Sweden, Senegal and the United States. The agreement between the results obtained by the proposed method and those obtained by other interpretation methods is good and comparable. 相似文献
10.
A geophysical interpretative method is proposed to depth, amplitude coefficient and geometrical shape factor determination
of a buried structure from an observed gravity anomaly related to a cylinder or a sphere-like structure.The method is based
on nonlinearly constrained mathematical modelling and also on stochastic optimization approaches. The proposed interpretative
method first has been tested on theoretical synthetic models with different random errors at a certain depth, where a very
close agreement has been observed between assumed and evaluated parameters. Subsequent field data have been considered for
which the interpreted results by other methods are available for comparison. The agreement between the obtained results by
the proposed technique and by other geophysical methods is good. A statistical analysis has been also carried out to demonstrate
the accuracy and the precision of the suggested interpretative method. 相似文献
11.
A nomogram has been devised for situations, in which the source of a self-potential anomaly can be approximated by an obliquely polarized sphere or horizontal cylinder embedded in a homogeneous half space. The nomogram can be used for rapid determination of three parameters of the target: (1) depth to the centre, (2) angle between the axis of polarization and the horizontal, (3) shift of the point vertically above the centre of the body from zero potential value. The nomogram has been tested and the parameters determined for SP results obtained over ore bodies Weiss and Süleymanköy in the Ergani Copper district, Turkey. The curves computed for the estimated parameters match the field curves well. 相似文献
12.
A new method is proposed to interpret magnetic anomalies due to a thin dike, a sphere, and a fault like structure, where depth, horizontal location, effective magnetization intensity and effective magnetization inclination of a buried structure are simultaneously obtained. The proposed method is based on Fair function minimization and also on stochastic optimization modeling. This new technique was firstly tested on a theoretical synthetic data randomly generated by a chosen statistical distribution from a known model with different random noises components. This mathematical simulation shows a very close agreement between the assumed and the estimated parameters. The applicability and validity of this method are thereafter applied to magnetic anomaly data taken from United States, Australia, India, and Brazil. The agreement between the results obtained by the new method and those obtained by other interpretative methods is good and comparable. Moreover, the depth obtained by such a method is found to be in high accordance with that obtained from drilling information. 相似文献
13.
Ertan Pek?en Türker Yas A. Yekta Kayman Co?kun Özkan 《Journal of Applied Geophysics》2011,75(2):305-318
Particle swarm optimization (PSO) is a global search method, which can be used for quantitative interpretation of self-potential data in geophysics. At the result of this process, parameters of a source model, e.g., the electrical dipole moment, the depth of the source, the distance from the origin, the polarization angle and regional coefficients are estimated. This study investigates the results and interpretation of a detailed numerical data of some simple body responses, contaminated and field data. The method is applied to three field examples from Turkey and the results are compared with the previous works. The statistics of particle swarm optimization and the corresponding model parameters are analyzed with respect to the number of generation. We also present the oscillations of the model parameters at the vicinity of the low misfit area. Further, we show how the model parameters and absolute frequencies are related to the total number of PSO iterations. Gaussian noise shifts the low misfit area region from the correct parameter values proportional to the level of errors, which directly affects the result of the PSO method. These effects also give some ambiguity of the model parameters. However, the statistical analyses help to decrease these ambiguities in order to find the correct values. Thus, the findings suggest that PSO can be used for quantitative interpretation of self-potential data. 相似文献
14.
自然电场法常用于环境与工程等领域的监测作业,但各时刻观测数据往往单独反演解释.为了充分利用时序数据间的关联信息,提高监测数据的反演解释可靠性,提出基于卡尔曼滤波的自然电场监测数据时序反演方法.根据达西定律和阿尔奇公式建立污染物在孔隙介质中的运动扩散的动态地电模型,作为用于构建卡尔曼滤波的状态模型.而卡尔曼滤波的观测模型则通过常规的自然电场法正演获得.在建立状态模型和观测模型的基础上,构建起卡尔曼滤波递归,将地电模型演化信息与自然电场观测数据进行信息融合,实现自然电场监测数据的时序反演.加入噪声的自然电场模拟数据测试表明时序反演算法具有较好的鲁棒性,对噪声不敏感.沙槽物理实验监测数据的计算测试也同样证明时序反演能有效处理监测数据,实现对动态模型的准确重构. 相似文献
15.
《Journal of Applied Geophysics》2006,58(2):130-143
In the present paper a new method is proposed for the quantitative interpretation of self-potential anomalies which are produced by a vertical dipole. First the mathematical expression of the wavenumber spectrum of the self-potential anomaly is deduced. It is pointed out that at relatively high wavenumbers the behavior of the amplitude spectrum is controlled by the closer to the surface pole at depth h. On the other hand, the “width” of the amplitude spectrum depends on the depth h and the dipole length L.Making a proper mathematical transformation of the amplitude spectrum, and applying the least squares method, it is possible to calculate the depth to the upper pole. The dipole length may then be calculated, by solving numerically a characteristic algebraic equation, as long as the “width” of the amplitude spectrum has been previously defined.The proposed method is applied on a well known self-potential profile from Greece. The calculated parameters of the polarized body are in good agreement with real data. Experimentation with synthetic models in which random noise was introduced, showed that this method gives reliable results if the noise amplitude is not more than 20% of the signal amplitude. It is clearly more efficient than the methods which are based on the model of the point pole or the dipole with a small length. It can also give good results if the horizontal extensions of the polarized body are not more than a few tenths of the depth of the upper pole. If the polarized body is tilted, the depth of the upper pole can be calculated with satisfactory accuracy.The direct interpretation method which is proposed in the present paper, may be useful in mineral exploration, and particularly if the target of interest is the detection of massive sulfide mineralization. 相似文献
16.
We have developed a least-squares minimization approach to determine the depth and the amplitude coefficient of a buried structure
from residual gravity anomaly profile. This approach is basically based on application of Werner deconvolution method to gravity
formulas due to spheres and cylinders, and solving a set of algebraic linear equations to estimate the two-model parameters.
The validity of this new method is demonstrated through studying and analyzing two synthetic gravity anomalies, using simulated
data generated from a known model with different random error components and a known statistical distribution. After being
theoretically proven, this approach was applied on two real field gravity anomalies from Cuba and Sweden. The agreement between
the results obtained by the proposed method and those obtained by other interpretation methods is good and comparable. Moreover,
the depth obtained by the proposed approach is found to be in very good agreement with that obtained from drilling information. 相似文献
17.
Summary A quantitative method of interpreting self-potential anomaly caused by a spherical ore body using downward continuation method is presented. Master curves to determine the depth, radius and angle of polarization have been prepared. 相似文献
18.
Mansour A. Al-Garni 《Acta Geophysica》2010,58(1):143-162
A new approach is proposed in order to interpret spontaneous potential (self-potential) anomalies related to simple geometric-shaped
models such as sphere, horizontal cylinder, and vertical cylinder. This approach is mainly based on using neural network inversion
of SP anomalies, particularly modular algorithm, for estimating the parameters of different simple geometrical bodies. However,
Hilbert transforms are involved to determine the origin location in order to reduce the parameters which minimize the ambiguity
in the inverted models. The inversion has been tested first on synthetic data from different models, using only one well-trained
network. The results of inversion show that the parameter values derived by the inversion are identical to the true values
of parameters. Noise analysis has been also examined, where the results of the inversion produce acceptable results up to
10% of white Gaussian noise. The validity of the neural network inversion is demonstrated through published real field SP
taken from southern Bavarian Woods, Germany. A comparable and acceptable agreement is shown between the results of inversion
derived by the neural network and those from the real field data. 相似文献
19.
This paper gives analytical expressions for the 1-D and 2-D frequency spectra of the self-potential field produced by a polarized sphere. In 1-D, the amplitude spectrum of the potential field leads to a criterion for determination of the depthh to the centre of the sphere. The polarization angle of the buried sphere can be calculated from the maximum point of the amplitude spectrum of the electric field. In 2-D, the depth to the centre of the polarized sphere can be calculated if the polarization is vertical. 相似文献
20.
—Numerical horizontal self-potential gradients obtained from self-potential data using filters of successive window lengths can be used to determine the depth and width of a 2-D plate. For a fixed window length the depth is determined iteratively using a simple formula for each half width value. The computed depths are plotted against the half width values representing a continuous window curve. The solution for the depth and the half width of the buried structure is read at the common intersection of the window curves. The method is applied to synthetic data with and without random errors. 相似文献