Hydrocarbon reserves exploration by real-time expert seismology and non-linear singular integral equations

Ladopoulos, E. G.

doi:10.1504/ijogct.2012.048988

Cited by 5 publications

(2 citation statements)

References 33 publications

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“…However, problems such as the power disturbance of light in the sensing system, and multiplexing capability, will require further work. For oil well exploration, the seismic waves cover a frequency bandwidth from several dozens to hundreds of Hz [100,101,102], as shown in Figure 1.…”

Section: Functional Fbg Sensorsmentioning

confidence: 99%

Fiber Bragg Grating Sensors for the Oil Industry

Qiao

Shao

Bao

et al. 2017

Sensors

174

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With the oil and gas industry growing rapidly, increasing the yield and profit require advances in technology for cost-effective production in key areas of reservoir exploration and in oil-well production-management. In this paper we review our group’s research into fiber Bragg gratings (FBGs) and their applications in the oil industry, especially in the well-logging field. FBG sensors used for seismic exploration in the oil and gas industry need to be capable of measuring multiple physical parameters such as temperature, pressure, and acoustic waves in a hostile environment. This application requires that the FBG sensors display high sensitivity over the broad vibration frequency range of 5 Hz to 2.5 kHz, which contains the important geological information. We report the incorporation of mechanical transducers in the FBG sensors to enable enhance the sensors’ amplitude and frequency response. Whenever the FBG sensors are working within a well, they must withstand high temperatures and high pressures, up to 175 °C and 40 Mpa or more. We use femtosecond laser side-illumination to ensure that the FBGs themselves have the high temperature resistance up to 1100 °C. Using FBG sensors combined with suitable metal transducers, we have experimentally realized high- temperature and pressure measurements up to 400 °C and 100 Mpa. We introduce a novel technology of ultrasonic imaging of seismic physical models using FBG sensors, which is superior to conventional seismic exploration methods. Compared with piezoelectric transducers, FBG ultrasonic sensors demonstrate superior sensitivity, more compact structure, improved spatial resolution, high stability and immunity to electromagnetic interference (EMI). In the last section, we present a case study of a well-logging field to demonstrate the utility of FBG sensors in the oil and gas industry.

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Section: Functional Fbg Sensorsmentioning

confidence: 99%

Fiber Bragg Grating Sensors for the Oil Industry

Qiao

Shao

Bao

et al. 2017

Sensors

174

View full text Add to dashboard Cite

show abstract

“…Several numerical and approximate methods are used for solving MVFIEs such as Taylor polynomial by [16]; [15], least square method and Chebyshev polynomials by [5], Lagrange collocation method by [14], Series solution, successive approximation method and method of successive substitutions by [22], Trigonometric Functions and Laguerre Polynomials by [7], Touchard Polynomials (T-Ps) method by [1], Some iterative numerical methods by [12], Taylor polynomial by [6]. The reader can consult the following references for other information ( [2], [3], [8], [9], [10], [11], [17], [18], [19], [20], [21], [24]) and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Solving Volterra-Fredholm Integral Equations by Quadratic Spline Function

Salim,

Saeed,

Faraj Jwamer

2022

J. Al-Qadisiyah Comp. Sci. Math.

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Using the quadratic spline function, this paper finds the numerical solution of mixed Volterra-Fredholm integral equations of the second kind. The proposed method is based on employing the quadratic spline function of the unknown function at an arbitrary point and using the integration method to turn the Volterra-Fredholm integral equation into a system of linear equations with respect to the unknown function. An approximate solution can be easily established by solving the given system. This is accomplished with the help of a computer program that runs on Python 3.9..

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Taylor polynomial method and error estimation for a kind of mixed Volterra–Fredholm integral equations

Wang

2014

Applied Mathematics and Computation

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Hydrocarbon reserves exploration by real-time expert seismology and non-linear singular integral equations

Cited by 5 publications

References 33 publications

Fiber Bragg Grating Sensors for the Oil Industry

Fiber Bragg Grating Sensors for the Oil Industry

Solving Volterra-Fredholm Integral Equations by Quadratic Spline Function

Taylor polynomial method and error estimation for a kind of mixed Volterra–Fredholm integral equations

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