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METHODOLOGY FOR DETERMINING LEAKS AND ENERGY SAVING IN UNDERGROUND GAS STORAGE
Lena Shatakishvili, Ketevan Berikashvili
Lena Shatakishvili, Ketevan Berikashvili. (2024) Methodology for Determining Leaks and Energy Saving in Underground Gas Storage. World Science. 2(84). doi: 10.31435/rsglobal_ws/30062024/8134
https://doi.org/10.31435/rsglobal_ws/30062024/8134 26 March 2024 12 May 2024 15 May 2024
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METHODOLOGY FOR DETERMINING LEAKS AND ENERGY SAVING IN UNDERGROUND GAS STORAGE
Lena Shatakishvili
Professor
Georgian technical university, Tbilisi, Georgia
Ketevan Berikashvili
PhD-student
Georgian technical university, Tbilisi, Georgia
DOI: https://doi.org/10.31435/rsglobal_ws/30062024/8134
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ABSTRACT
Received: 26 March 2024 Accepted: 12 May 2024 Published: 15 May 2024
KEYWORDS
Determining Leaks, Energy Saving, Underground Gas Storage.
The main task of any functioning gas transportation system is to supply reliable gas to all customers. Create a new underground storage and expansion and optimization of existing underground gas reservoirs is one of the priority directions for the development of the gas industry. The aim of the work is to determine the methodology of leakage and losses of underground gas reservoirs. There is a presented an analysis of the hysteresis loop of the underground gas reservoir compaction-removal cycle and the corresponding leakage.
Citation: Lena Shatakishvili, Ketevan Berikashvili. (2024) Methodology for Determining Leaks and Energy Saving in Underground Gas Storage. World Science. 2(84). doi: 10.31435/rsglobal_ws/30062024/8134
Copyright: © 2024 Lena Shatakishvili, Ketevan Berikashvili. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.
The main task of any functioning gas transportation system is to ensure a reliable gas supply to all consumers. The creation of new, expansion and optimization of existing underground gas storage facilities is one of the priority areas for the development of the gas industry. This task must be carried out even taking into account the seasonality of product consumption by large industrial centers, as well as with maximum use of all the capabilities of the main gas pipeline. To solve this problem, underground gas storage facilities (UGS) are being developed. The main task of underground gas storage facilities is to accumulate gas during the summer-autumn period to equalize consumption in winter and spring, since consumer demand for gas increases during these seasons.
The results obtained in this work are based on the following studies [1-5]. Let's consider the theory of monitoring UGS parameters based on the use of the so-called. hysteresis diagrams -(p / Z — V). Here p is the weighted average pressure over the area of the gas cavity; Z - degree of gas supercompression; V - The volume of gas in the underground gas storage facility is reduced to standard conditions. The technique for estimating cyclic parameters in underground gas storage systems using hysteresis diagrams is widespread abroad, primarily in the USA and Canada.
Hysteresis diagrams represent the dependence of the volume of gas V in an underground gas storage facility on the reduced gas pressure p / Z in the gas cavity. Using hysteresis diagrams, you can observe all stages of the cyclic process of UGS operation.
The purpose of the work is to express the process of gas injection and extraction using known methods of analytical calculation of symmetric and asymmetric hysteresis loops.
It is known that the simplest method is an ellipse; the Mittelstrasse function [6,7] or the universal Rayleigh formula [8,9] are also used. These simple formulas do not reflect the real picture, so we propose a modified method for calculating the hysteresis loop, which includes eight sections
[10,11]. Let us consider symmetrical hysteresis, which is normalized, i.e. its range in width and height is (-1; +1). In a real case, the appropriate scale should be used. Designations are shown in pic.. 1a. The rotation of the loop occurs according to well-known simple formulas.
The upper hysteresis loop I and II are two straight sections located at two given points (pic. 1a): between two points of the first (1;1) and the second (hC, Y1C) and (0,br). Similarly, we represent sections III and IV of the lower branch of the loop: coordinates of the third section (- hC, Y2C) and (0,-br); coordinates of the fourth section (-1;1). From here we get:
To determine the ordinates of the nonlinear four sections of the hysteresis loop, we use the relation [10]: from which we obtain
Pic. 1. a. Parts of the branches of the hysteresis loop I-IV, special symmetrical values of this argument h : 0, ±hC, ±1; b. UGS Samgori (Georgia) - hysteresis diagram of the injection-withdrawal cycle.
Yu =(h - hc )
^ - Y ö
1 X1c
è 1 - hc 0
+ Y
1c
Y2, m = h
rb - y2c ö - h
br ;
YUI = A(Yic -br)+br; Y,IV =(h + h
h
c 0
Y2c - 1 ' hc-1 0
(1)
- y
2c *
To determine the ordinates of the nonlinear four sections of the hysteresis loop, we use the relation [10]: Yl = A cos a, Y2 = A sin a, from which we obtain:
A = -Y
Y
A =
sin a
cos a
Y „ Y
Y2 = —1—sin a; Y1 = . 1 cos a = Y2ctga.
cos a
sin a
(2)
The area of the hysteresis loop is determined by the following relationship:
S = 2[YU (1 - tga!)+YUI (1 - tgan)].
(3)
Let's look at an example. The Georgian Oil and Gas Corporation (GOGC) plans to build an underground gas storage facility on the southern dome of the depleted Samgori oil field, near Tbilisi.
A preliminary feasibility study of the project was completed in 2019. Approximate parameters: pj = 215aT; p2 = 90ат; V1 = 215 m^h.m3; V2 = 178 m^h.m3; a1 = 310 ; a2 = 370 ;
c
c
tg$j = 0,577; tga2 = 0,753; at; A hysteresis loop was constructed and the corresponding calculation was carried out. In this case, the loop area (i.e., energy loss) according to formula (3) is equal » 213 to million MJ. Gas loss per cycle is equal to V* » 26mln/.m3.
REFERENCES
1. Fianigan O. Underground gas storage facilities. Design and implementation. Gulf Professional Publishing; 1st edition (June 21, 1995). 199 p.
2. Лурье М.В., Дидковская А.С., Яковлева Н.В. Естественная убыль природного газа в газохранилищах, создаваемых в водоносных пластах. Транспорт и подземное хранение газа. Науч.-тех.сб. М. ИРЦ Газпром. 2003. №6. с 21-31.
3. Лурье М.В., Дидковская А.С., Вегера, Ковалевский, Яковлева Н.В. Анализ эксплуатации подземных газохранилищ на основе гистерезисных диаграмм. Известия ВУЗов Нефть и газ.2004. №4. с 63-72.
4. Яковлева Н.В. Количественная оценка естественной убыли газа в подземном хранилища за счет растворения в воде. Транспорт и подземное хранение газа. Науч.-тех.сб. М. ИРЦ Газпром. 2004. №3. с 64-70.
5. Яковлева Н.В. Потери газа в ПХГ за счет растворения в воде. Нефть, газ и бизнес. Научно-техническое приложение. 2004. 31. с 71-72.
6. Joffe S., Cook E., Cleary P., Clark J., Weeks J. Quality of Informed Consent: a New Measure of Understanding Among Research Subjects. JNCI: Journal of the National Cancer Institute, Volume 93, Issue 2, 17 January 2001, Pages 139-147 https://doi.org/10.1093/jnci/93.2.139.
7. Baker D., Persell D. Criteria for Waiver of Informed Consent for Quality Improvement Research JAMA Intern Med. 2015;175(1). p 142-143.
8. Joffe S., Cook E., Cleary P., Clark J., Weeks J. Quality of Informed Consent: a New Measure of Understanding Among Research Subjects. JNCI: Journal of the National Cancer Institute, Volume 93, Issue 2, 17 January 2001, Pages 139-147. https://doi.org/10.1093/jnci/93.2.139.
9. Baker D., Persell D. Criteria for Waiver of Informed Consent for Quality Improvement Research JAMA Intern Med. 2015;175(1). p 142-143.
10. Ильин В.М. Формулы петли гистерезиса. Доклады БУГИР. 2011. №7 (61). сс 52-59.
11. Ильин В.М. К методу аналитической аппроксимации петель гистерезиса. Доклады БУГИР. 2009. №3 (41). сс 41-45.
