DEPTH FACTORS AND RESOLVING POWER OF ELECTRICAL MEASUREMENTS

Geophysics ◽  
1938 ◽  
Vol 3 (2) ◽  
pp. 78-95 ◽  
Author(s):  
H. M. Evjen

The use of depth factors in electrical prospecting is critically reviewed. The use of depth factors is placed on a rational foundation. This is accomplished by assigning new physical significance to the so‐called apparent resistivities and potential drop ratios measured by electrical methods. It is shown that these measurables may be considered as broadly averaged representations of the distribution of electric images with depth. As a result, universal depth factors exist which may be calculated once for all for any given electrode arrangement. The depth factors are calculated for a number of commonly used electrode arrangements and are found to be smaller than generally assumed. The potential drop ratio method is shown to be superior to the apparent resistivity method in regard to depth of reference as well as to resolving power. The resolution by either method, however, is found to be entirely inadequate to give anywhere near the detail obtained with well logs. The new approach adopted in this paper leads to quite simple and practical methods of analysis and direct solution of the interpretation problem which are illustrated. These methods are shown to have a useful field of application also in gravitational interpretation. The extent to which a detailed analysis justifiably may be carried is briefly examined. From the point of view of practicability it is reaffirmed that the best field of application of the electrical methods is the investigation of horizontal changes such as the mapping of faults and salt dome flanks.

Geophysics ◽  
1945 ◽  
Vol 10 (1) ◽  
pp. 63-75 ◽  
Author(s):  
William Bradley Lewis

Electrical measurements were made on the surface of the earth with low frequency commutated current using nineteen separate frequencies and six electrode separations. Analysis of the data indicates that there is an effect of appreciable magnitude attributable to an interface 6000 feet below the surface.


Author(s):  
Virdiansyah Permana ◽  
Rahmat Shoureshi

This study presents a new approach to determine the controllability and observability of a large scale nonlinear dynamic thermal system using graph-theory. The novelty of this method is in adapting graph theory for nonlinear class and establishing a graphic condition that describes the necessary and sufficient terms for a nonlinear class system to be controllable and observable, which equivalents to the analytical method of Lie algebra rank condition. The directed graph (digraph) is utilized to model the system, and the rule of its adaptation in nonlinear class is defined. Subsequently, necessary and sufficient terms to achieve controllability and observability condition are investigated through the structural property of a digraph called connectability. It will be shown that the connectability condition between input and states, as well as output and states of a nonlinear system are equivalent to Lie-algebra rank condition (LARC). This approach has been proven to be easier from a computational point of view and is thus found to be useful when dealing with a large system.


2006 ◽  
Vol 10 (2) ◽  
pp. 233-243 ◽  
Author(s):  
E. Gaume

Abstract. This paper presents some analytical results and numerical illustrations on the asymptotic properties of flood peak distributions obtained through derived flood frequency approaches. It confirms and extends the results of previous works: i.e. the shape of the flood peak distributions are asymptotically controlled by the rainfall statistical properties, given limited and reasonable assumptions concerning the rainfall-runoff process. This result is partial so far: the impact of the rainfall spatial heterogeneity has not been studied for instance. From a practical point of view, it provides a general framework for analysis of the outcomes of previous works based on derived flood frequency approaches and leads to some proposals for the estimation of very large return-period flood quantiles. This paper, focussed on asymptotic distribution properties, does not propose any new approach for the extrapolation of flood frequency distribution to estimate intermediate return period flood quantiles. Nevertheless, the large distance between frequent flood peak values and the asymptotic values as well as the simulations conducted in this paper help quantifying the ill condition of the problem of flood frequency distribution extrapolation: it illustrates how large the range of possibilities for the shapes of flood peak distributions is.


2021 ◽  
Author(s):  
Prabhat Kumar Rao ◽  
◽  
Arindam Biswas ◽  

Housing affordability is an ever-growing concern in rapidly urbanizing countries like India. The need for affordable housing can hardly be overemphasis in India. Government has many policies and programs running for fulfilling the requirement. But it is essential to define affordability standards for the success of any such policies and programs. The Ratio Method, which is currently used as the base for determining affordable housing, doesn’t have the flexibility to match the varied scale and standards across Indian cities. This paper is based on Michel E stone’s residual income’ method to measure housing affordability for India’s million-plus city. It gives a new approach for measuring housing affordability based on the minimum living cost for survival. It uses Poverty Line data (2014) and NSSO economic survey data (2012) for defining the minimum standard of living in the city. Stakeholders can use the city-specific measurement for affordable housing generated from this paper in affordable housing policies and programs.


Author(s):  
Lev D. Lamberov ◽  

In recent decades, some epistemological issues have become especially acute in mathematics. These issues are associated with long proofs of various important mathematical results, as well as with a large and constantly increasing number of publications in mathematics. It is assumed that (at least partially) these difficulties can be resolved by referring to computer proofs. However, computer proofs also turn out to be problematic from an epistemological point of view. With regard to both proofs in ordinary (informal) mathematics and computer proofs, the problem of their surveyability appears to be fundamental. Based on the traditional concept of proof, it must be surveyable, otherwise it will not achieve its main goal — the formation of conviction in the correctness of the mathematical result being proved. About 15 years ago, a new approach to the foundations of mathematics began to develop, combining constructivist, structuralist features and a number of advantages of the classical approach to mathematics. This approach is built on the basis of homotopy type theory and is called the univalent foundations of mathematics. Due to itspowerful notion of equality, this approach can significantly reduce the length of formalized proofs, which outlines a way to resolve the epistemological difficulties that have arisen


2012 ◽  
Vol 18 (4) ◽  
pp. 588-607 ◽  
Author(s):  
Dalia Štreimikienė ◽  
Neringa Barakauskaitė-Jakubauskienė

The paper presents the definition of quality of life and its relationship with sustainable development. The paper analyses and compares the indicators of quality of life in Lithuania with other countries. A quality of life is an explicit or implicit policy goal. Various measurements and indicators to evaluate a quality of life were proposed during the recent years however there are no widely accepted objective indicators of quality of life able to compare countries. Sustainable development concept proposes new approach to measure quality of life. Therefore the aim of sustainable development is to increase quality of life. Quality of life can be addressed in terms of people health, the state of economy, employment, infrastructure development, crime and environment. All these indicators are interrelated as economic development creates preconditions to maintain public health, develop social and technical infrastructure, to increase employment, to ensure quality of environment, to tackle with crime etc. From the other point of view healthy and satisfied with the quality of life nation have positive impact on stable economic growth.


Author(s):  
Victor Christianto ◽  
◽  
Florentin Smarandache ◽  

We argue that there are essentially two chief leadership models: the hard-style and soft-style leadership. From Neutrosophic point of view, there can be a third way, between hard-style leadership and soft-style leadership model, which may be more relevant to many of people in developing countries as well as in developed countries, who feel “powerless” and “hopeless” especially in this pandemic situation. We prefer to call this new approach: leading from powerlessness. The third-way Neutrosophic leadership model may also mean partially hard-style and partially soft-style leadership.


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