TW202012780A - Production capacity estimation method for geothermal well - Google Patents

Production capacity estimation method for geothermal well Download PDF

Info

Publication number
TW202012780A
TW202012780A TW107133223A TW107133223A TW202012780A TW 202012780 A TW202012780 A TW 202012780A TW 107133223 A TW107133223 A TW 107133223A TW 107133223 A TW107133223 A TW 107133223A TW 202012780 A TW202012780 A TW 202012780A
Authority
TW
Taiwan
Prior art keywords
geothermal
heat
heat extraction
well
model
Prior art date
Application number
TW107133223A
Other languages
Chinese (zh)
Other versions
TWI734029B (en
Inventor
林大偉
Original Assignee
國立臺南大學
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by 國立臺南大學 filed Critical 國立臺南大學
Priority to TW107133223A priority Critical patent/TWI734029B/en
Publication of TW202012780A publication Critical patent/TW202012780A/en
Application granted granted Critical
Publication of TWI734029B publication Critical patent/TWI734029B/en

Links

Images

Classifications

    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
    • Y02EREDUCTION OF GREENHOUSE GAS [GHG] EMISSIONS, RELATED TO ENERGY GENERATION, TRANSMISSION OR DISTRIBUTION
    • Y02E10/00Energy generation through renewable energy sources
    • Y02E10/10Geothermal energy

Landscapes

  • Management, Administration, Business Operations System, And Electronic Commerce (AREA)

Abstract

Embodiments disclose a production capacity estimation method for a geothermal well. The method includes: A. building a terrestrial heat storage level experiment system and obtaining a heat-retrieval data resulting from a heat-retrieval experiment; B. fitting the heat-retrieval data to a pore space heat-retrieval model, generating simulated physical properties in the environment such as pore space and fracture, and creating a terrestrial-heat retrieval model; C. scaling up a pipe flow model by the terrestrial heat storage level experiment system to create a single-well heat-retrieval model, receiving terrestrial heat production capacity data sets at different points in time, creating a value of total heat resistance, and identifying the difference there between for modifications of the single-well heat-retrieval model; and D. optimizing heat-retrieval data computed based on the single-well heat-retrieval model by using an optimization method.

Description

地熱井產能預估方法及其系統Geothermal well productivity prediction method and system

本發明係有關於一種可以用於模擬單井之地熱產能,以建立一地熱井之總熱阻,藉以可計算出最佳化取熱量之預估方法及系統。The invention relates to a method and system that can be used to simulate the geothermal productivity of a single well to establish the total thermal resistance of a geothermal well, so that the optimal heat extraction can be calculated.

由於目前地球上的能源日漸短缺,因此尋求再生能源係已成為一刻不容緩之首要課題。再生能源係為一種具有恢復性之能源,可不斷補充和重複使用,最具代表性的有太陽能、風力能、海洋能、生物質能、地熱能等。隨著開發技術愈來愈成熟,其中地熱能在成本回收、產電效率和儲電容量雖還不如其它能源,且須克服許多地形岩層的限制,但比其它能源更加能夠持續循環利用,同時也能夠減少碳排放量問題,更可創造許多地熱產業機會。Due to the current shortage of energy on the planet, the search for renewable energy systems has become a primary issue that cannot be delayed. Renewable energy is a kind of recoverable energy, which can be continuously replenished and reused. The most representative ones are solar energy, wind energy, ocean energy, biomass energy, and geothermal energy. As the development technology becomes more and more mature, although geothermal energy is not as good as other energy sources in cost recovery, power generation efficiency and storage capacity, and must overcome the limitations of many terrain rock layers, it is more sustainable than other energy sources. It can reduce carbon emissions and create many opportunities in the geothermal industry.

因此有中華民國103年1月16日所公開之發明第201402943號「用於開採能源的單井、自流地熱系統」專利案,其係揭露:提供一種再生性能源、單井、一次自流、地熱熱量/電力產生系統,該系統使用熱交換器或渦輪機/發電機獲取自然產生之地下地熱熱量以加熱水及/或產生機械力/電力。可(諸如)使用真空絕緣使界定工作流體流動路徑之地下結構絕緣,以增加系統效率且確保實質上自生之工作流體流動。Therefore, there is the patent case of the invention No. 201402943 published on January 16, 103, "Single Well, Gravity Geothermal System for Energy Exploitation", which discloses: providing a renewable energy source, single well, primary gravity, geothermal A heat/electricity generation system that uses heat exchangers or turbines/generators to capture naturally generated underground geothermal heat to heat water and/or generate mechanical force/electricity. Vacuum insulation can be used, such as to insulate the underground structure that defines the working fluid flow path, to increase system efficiency and ensure substantially self-generated working fluid flow.

由於目前進行現地的地熱發電效能預測時,地熱井之產能均是利用現地實際人工測試之產能測試,主要原因為缺乏有效可靠之模型以及對儲集層熱質傳特性所知太少。因此於地熱的運用中,仍然需要實際進行開採,才能獲得地熱以供應用。往往開採地熱後的取熱效率不如預期,而無法充分的運用地熱。As the current geothermal power generation performance predictions are performed, the geothermal well production capacity is tested using the actual manual testing in the field. The main reasons are the lack of effective and reliable models and the lack of knowledge about the reservoir heat and mass transfer characteristics. Therefore, in the application of geothermal energy, it still needs to be actually mined to obtain geothermal energy for supply. Often the heat extraction efficiency after geothermal mining is not as expected, and the geothermal energy cannot be fully utilized.

因此本發明的申請人曾申請核准有中華民國107年6月1日所公告之發明第I625460「增強型地熱之最佳取熱系統及其建立方法」專利案,其係揭露:建立一數值模型進行模擬取熱。利用該數值模型經模擬取熱後取得一模擬數據。透過一取熱實驗以驗證該數值模型之正確性。利用該取熱實驗取得一實驗數據,而與該模擬數據進行比對,藉以驗證該數值模型之正確性。以一最佳化方法取得在該模擬數據中之一最佳操作條件。利用該最佳操作條件建立一增強型地熱之最佳取熱系統。藉以可供輸入地質孔隙條件之平均粒徑和壓力,而查詢得知相對應之該最大取熱量之質量流率。Therefore, the applicant of the present invention has applied for and approved the patent case of the invention No. I625460 "Optimal heat extraction system for enhanced geothermal heat and its establishment method" published on June 1, 107, which was disclosed as: establishing a numerical model Perform simulated heat extraction. Use the numerical model to obtain simulated data after simulating heat extraction. Through a heat extraction experiment to verify the correctness of the numerical model. Use the heat extraction experiment to obtain experimental data, and compare with the simulated data to verify the correctness of the numerical model. An optimized method is used to obtain an optimal operating condition in the simulation data. The optimal operating conditions are used to establish an optimal geothermal heat extraction system. The average particle size and pressure that can be used to input geological pore conditions can be queried to find out the corresponding mass flow rate of the maximum heat extraction.

該專利前案雖然可以供查詢在地熱儲集層中之不同地層平均粒徑和壓力,相對應之最大取熱量之質量流率,以做為取得最大取熱量之質量流率參考之用。惟其無法針對各個單井建立其總熱阻,以對於最佳化取熱量進行預估,因此於使用上有其不足之處。Although the previous case of this patent can be used to query the average particle size and pressure of different formations in the geothermal reservoir, the corresponding mass flow rate of the maximum heat extraction can be used as a reference for obtaining the mass flow rate of the maximum heat extraction. However, it cannot establish its total thermal resistance for each single well to predict the optimal heat extraction, so it has its shortcomings in use.

爰此,有鑑於目前地熱發電廠之建置必須先掌握地熱井之產能,而目前產能之掌握均來自現地產能測試。現地產能預測為發電廠經濟效益評估中一成熟之評估方式,相關之成本資料均不難獲得。惟此評估中最重要之一環為每次產能測試之成本及對地熱井之影響,在現地以注氣或注水之方式測試地熱井所能產出之最大焓值,每一次產能測試約需三至四週,經費預估約需三百萬,但僅能獲得四組不同井口試氣管徑之產能值。因此耗費時間久、成本高、經濟效益差。Therefore, in view of the current construction of geothermal power plants, it is necessary to master the production capacity of geothermal wells, and the current production capacity is derived from the on-site production capacity test. The on-site capacity forecast is a mature evaluation method in the economic benefit evaluation of power plants, and relevant cost information is not difficult to obtain. However, one of the most important links in this assessment is the cost of each productivity test and the impact on the geothermal well. The maximum enthalpy value that can be produced by the geothermal well tested by gas injection or water injection in the local area. Each productivity test requires about three The budget is estimated to be about three million to four weeks, but it can only obtain the production value of four groups of different wellhead gas test pipe diameters. Therefore, it takes a long time, high cost and poor economic benefit.

故本發明提供一種地熱井產能預估方法,包含有:建立一地熱儲集層實驗系統,經由取熱實驗藉以獲得一取熱結果,該地熱儲集層實驗系統係藉由一高壓測試管路所形成之一測試段,藉以模擬一工作流體流經一儲集層之該取熱結果;利用該取熱結果擬合一孔隙取熱模型,完成於孔隙及裂隙條件下之一模擬物理特性,建立一地熱取熱模型,係以該地熱儲集層實驗系統經由該取熱結果,再依照該測試段以等比例,利用一電腦以電腦模擬該工作流體於該儲集層內之取熱現象,並獲得一模擬結果,比較該模擬結果與該取熱結果之差異性;利用該地熱儲集層實驗系統放大尺度,並結合一管流模型模擬建立一單井取熱模型,輸入不同時間點的一地熱產能資料,建立一地熱井之總熱阻,並比較其差異性,藉以修正該單井取熱模型,於該電腦中以該地熱儲集層實驗系統,結合該管流模型放大至現地尺度模型,以形成該單井取熱模型,藉以供實際應用於現地之地熱系統進行評估;利用一最佳化方法使該單井取熱模型計算最佳化取熱量,利用該最佳化方法計算出在已知地熱井深度及岩層孔隙狀態下,及最適合之地熱井注入流量,以獲得流經地熱井後可擷取之最大取熱量。Therefore, the present invention provides a method for predicting the productivity of a geothermal well, which includes: establishing a geothermal reservoir experiment system to obtain a heat extraction result through a heat extraction experiment. The geothermal reservoir experiment system uses a high-pressure test pipeline A test section is formed to simulate the heat extraction result of a working fluid flowing through a reservoir; the heat extraction result is used to fit a pore heat extraction model to complete a simulated physical characteristic under pore and fracture conditions, Establishing a geothermal heat extraction model, using the geothermal reservoir experimental system to pass the heat extraction results, and then using the computer to simulate the heat extraction of the working fluid in the reservoir in a proportional manner according to the test section And obtain a simulation result, compare the difference between the simulation result and the heat extraction result; use the geothermal reservoir experimental system to enlarge the scale, and combine a pipe flow model simulation to establish a single well heat extraction model, enter different time points Data of a geothermal productivity, establish the total thermal resistance of a geothermal well, and compare the differences, so as to modify the single-well heat extraction model, and use the geothermal reservoir experimental system in the computer to enlarge to the pipe flow model to Local scale model to form the single-well heat extraction model for practical application to the local geothermal system for evaluation; use an optimization method to make the single-well heat extraction model calculate the optimal heat extraction and use the optimization The method calculates the injection rate of the most suitable geothermal well under the known geothermal well depth and rock formation pore state, so as to obtain the maximum heat extractable after flowing through the geothermal well.

上述取熱結果包含於不同之介質粒徑、壓力、流量、孔隙率、層流狀態或流速下,該工作流體的實驗物理特性之變化。The above heat extraction results include changes in the experimental physical characteristics of the working fluid under different medium particle sizes, pressures, flow rates, porosities, laminar flow states or flow rates.

上述實驗物理特性包含熱交換效率、熱對流係數、熱分散性、取熱量其中之一或其任意組合。The above experimental physical characteristics include one of heat exchange efficiency, heat convection coefficient, heat dispersibility, heat extraction, or any combination thereof.

上述模擬物理特性係包含熱擴散性、有效熱傳導係數、有效比熱、縱向熱分散性、橫向熱分散性其中之一或其任意組合。The above-mentioned simulated physical properties include one or any combination of thermal diffusivity, effective thermal conductivity, effective specific heat, longitudinal heat dispersibility, and lateral heat dispersibility.

以上述取熱結果提供該電腦中之該孔隙取熱模型擬合出在各種不同壓力與流量條件下之該熱分散性,並與取熱實驗過程所量測的取熱量與入出口溫差進行比較其差異性。Based on the above heat extraction results, the pore heat extraction model in the computer is fitted to the heat dispersibility under various pressure and flow conditions, and compared with the heat extraction measured during the heat extraction experiment and the temperature difference between the inlet and outlet Its differences.

上述將時間在前的任一已知地熱井之該地熱產能資料輸入該單井取熱模型,而獲得該已知地熱井之一舊總熱阻,再將時間在後的該地熱產能資料輸入該單井取熱模型,而獲得該已知地熱井的一新總熱阻,比較該新、舊總熱阻之差異性,藉以修正並更新該單井取熱模型,以獲得新的該單井取熱模型,並驗證該已知地熱井隨時間之流量衰減狀況。The above input the geothermal productivity data of any known geothermal well in the time into the single well heating model, and obtain the old total thermal resistance of one of the known geothermal wells, and then input the geothermal productivity data in the later time The single-well heat extraction model, and a new total thermal resistance of the known geothermal well is obtained, and the difference between the new and old total thermal resistance is compared, so as to modify and update the single-well heat extraction model to obtain a new one Heat extraction model of the well and verify the flow attenuation of the known geothermal well over time.

上述地熱產能資料係包含有該地熱井之深度、直徑、井底溫度、出口溫度、出口壓力及流量之數據。The above geothermal productivity data includes data on the depth, diameter, bottom hole temperature, outlet temperature, outlet pressure and flow rate of the geothermal well.

藉由上述電腦擬合出以一布林克曼模型與一熱傳模組共同建立之該孔隙取熱模型做為基礎之該地熱取熱模型,又該最佳化方法係為簡易共軛梯度法。The geothermal heat extraction model based on the pore heat extraction model jointly established by a Brinkman model and a heat transfer module is fitted by the above computer, and the optimization method is a simple conjugate gradient law.

本發明亦為一種地熱井產能預估系統,係以上述地熱井產能預估方法所建立而成。The invention is also a geothermal well productivity estimation system, which is established by the above geothermal well productivity estimation method.

上述技術特徵具有下列之優點:The above technical features have the following advantages:

1.可發展出模擬地熱井產能測試之相似產能的單井取熱模型,藉以能降低實際產能測試之成本與時間之耗費。1. A single-well heat extraction model with a similar capacity that simulates geothermal well productivity testing can be developed to reduce the cost and time of actual productivity testing.

2.利用單井取熱模型可以預測目前單井在不同模擬物理特性下的測試結果,並可進行最佳化以預測最佳之產能結果。2. The single-well heat extraction model can predict the current single-well test results under different simulated physical characteristics, and can be optimized to predict the best productivity results.

3.進一步可輸入不同時間點的一地熱產能資料,以建立一地熱井之總熱阻,並求出在設定地層條件下之最佳化取熱量,進而提昇取熱效率。3. It is further possible to input a geothermal production data at different time points to establish the total thermal resistance of a geothermal well, and to obtain the optimal heat extraction under the set formation conditions, thereby improving the heat extraction efficiency.

請參閱第一圖所示,本發明實施例為一種地熱井產能預估方法,包含下列步驟:Referring to the first figure, an embodiment of the present invention is a method for estimating the productivity of a geothermal well, which includes the following steps:

A.建立一地熱儲集層實驗系統,經由取熱實驗藉以獲得一取熱結果。如第二圖所示,係利用該地熱儲集層實驗系統進行取熱實驗,以獲得該取熱結果。該地熱儲集層實驗系統係藉由一高壓測試管路所形成之一測試段(1),於填充不同介質粒徑,並改變一工作流體相關壓力及流量等參數,藉以模擬該工作流體流經一儲集層之該取熱結果。本發明係以水做為該工作流體。利用一正排量泵(11)以定流定壓方式,將該工作流體通過一預熱水槽(12)及一流量計(13)後注入該測試段(1)內,然後該工作流量再通過一壓力調節閥(14)、一冷卻水槽(15)後,再循環回到該正排量泵(11)。同時將該測試段(1)所得到之該取熱效率,透過一訊號線(16)傳送到一資料記錄器(17)及一電腦(18)。利用該測試段(1)進行孔隙介質取熱試驗,藉以可獲得不同介質粒徑、流量、儲集層壓力等之實驗物理特性。並且可得知不同之孔隙率、層流狀態、流速及壓力等實驗物理特性於操作過程中的差異。於取熱實驗過程中進行水壓力、流量及岩層粒徑之測試,可獲得該工作流體的上述實驗物理特性,例如熱交換效率、熱對流係數、熱分散性及取熱量等。進一步可針對不同孔隙率之水熱交換效率、孔隙所造成的壓損及浮力等相關參數進行上述實驗物理特性之實驗。A. Establish a geothermal reservoir experiment system, and obtain a heat extraction result through the heat extraction experiment. As shown in the second figure, the geothermal reservoir experimental system is used to perform heat extraction experiments to obtain the heat extraction results. The experimental system of the geothermal reservoir is formed by a test section (1) formed by a high-pressure test pipeline, which is filled with different medium particle sizes and changes the parameters such as the pressure and flow rate of a working fluid to simulate the working fluid flow The heat extraction result after a reservoir. The present invention uses water as the working fluid. Using a positive displacement pump (11) in a constant flow and pressure mode, the working fluid is injected into the test section (1) after passing through a preheating water tank (12) and a flow meter (13), and then the working flow rate After passing through a pressure regulating valve (14) and a cooling water tank (15), it is recirculated back to the positive displacement pump (11). At the same time, the heat extraction efficiency obtained by the test section (1) is transmitted to a data recorder (17) and a computer (18) through a signal line (16). The test section (1) is used to perform the heat extraction test of the porous medium, so as to obtain the experimental physical characteristics of different medium particle size, flow rate, reservoir pressure, etc. In addition, the differences in experimental physical characteristics such as different porosity, laminar flow state, flow velocity, and pressure during operation can be known. During the heat extraction experiment, the water pressure, flow rate and rock formation particle size are tested to obtain the above-mentioned experimental physical characteristics of the working fluid, such as heat exchange efficiency, heat convection coefficient, heat dispersion and heat extraction. Further experiments on the physical properties of the above experiments can be carried out for the relevant parameters of water and heat exchange efficiency at different porosities, pressure loss and buoyancy caused by the pores.

上述該測試段(1)的入口端連接該預熱水槽(12),可控制該工作流體注入時的溫度,再於該測試段(1)的出口端連接該冷卻水槽(15),藉以使其出口水溫下降以方便系統循環。該預熱水槽(12)及該冷卻水槽(15)的目的為使該正排量泵(11)及該壓力調節閥(14)能在操作溫度內運作,而該測試段(1)並以加熱器輸入固定電壓以加溫該測試段(1)達到熱平衡,該測試段(1)內填充不同的孔隙介質,並於其外壁裝設10組熱電偶(19),以環狀方式環繞於該測試段(1)的外壁凹槽內,再以保溫棉及絕熱材料包覆,降低熱損失的影響,其目的是要量測穩態及暫態時之外壁溫度反應,進而帶入下列計算公式(一)得到壁內溫度的變化。該取熱實驗為測試該工作流體於孔隙介質的熱傳特性,其取熱結果透過定流量、壓力及熱通量的設定,以計算其熱對流係數和熱交換量,觀察其溫度分布。並利用取熱實驗之溫度記錄,推算該測試段(1)之內壁溫度分布,並提供後續模型以擬合出模型之熱分散性設定。該計算公式(一)如下所示:The inlet end of the test section (1) is connected to the preheating water tank (12) to control the temperature of the working fluid during injection, and the cooling water tank (15) is connected to the outlet end of the test section (1), so that The outlet water temperature drops to facilitate system circulation. The purpose of the preheating water tank (12) and the cooling water tank (15) is to enable the positive displacement pump (11) and the pressure regulating valve (14) to operate within the operating temperature, and the test section (1) and The heater inputs a fixed voltage to heat the test section (1) to achieve thermal equilibrium. The test section (1) is filled with different pore media, and 10 sets of thermocouples (19) are installed on the outer wall of the test section (1). The outer wall groove of the test section (1) is covered with thermal insulation cotton and thermal insulation material to reduce the influence of heat loss. Its purpose is to measure the temperature response of the outer wall during steady state and transient state, and then bring into the following calculation Formula (1) obtains the temperature change in the wall. The heat extraction experiment is to test the heat transfer characteristics of the working fluid in the porous medium. The heat extraction results are calculated by setting the constant flow rate, pressure and heat flux to calculate the heat convection coefficient and heat exchange amount, and observe the temperature distribution. And use the temperature record of the heat extraction experiment to calculate the temperature distribution of the inner wall of the test section (1), and provide a follow-up model to fit the thermal dispersion setting of the model. The calculation formula (1) is as follows:

Figure 02_image001
Figure 02_image001
.

TIW :內壁溫度(K);T IW : inner wall temperature (K);

TOW :外壁溫度(K);T OW : outer wall temperature (K);

Qr :管表面之輸入的熱通量(W/m2 );Q r : input heat flux on the surface of the tube (W/m 2 );

d1 :測試段內徑(m);d 1 : inner diameter of test section (m);

d2 :測試段外徑(m);d 2 : outer diameter of test section (m);

𝜆𝑠 u 𝑠 :不銹鋼之熱傳導率(W/mk)。𝜆 𝑠 u 𝑠 : The thermal conductivity of stainless steel (W/mk).

本發明的取熱實驗已完成7.5MPa下空管(裂隙流)、石英砂粒徑1.54mm及2.03mm條件下,流量為0.33g/s、0.66g/s、0.99g/s及1.32g/s之取熱實驗。預計還需持續建立在8MPa、9MPa、10MPa、11MPa及12.5MPa各項壓力下之不同的取熱結果,以獲得在不同壓力、流量及孔隙條件下完整之該實驗物理特性。而針對於裂隙條件之實驗方法相同於上述孔隙條件之實驗方法。The heat extraction experiment of the present invention has been completed under the condition of 7.5MPa down tube (fracture flow), quartz sand particle size 1.54mm and 2.03mm, and the flow rate is 0.33g/s, 0.66g/s, 0.99g/s and 1.32g/ s heat extraction experiment. It is expected that the different heat extraction results under various pressures of 8 MPa, 9 MPa, 10 MPa, 11 MPa and 12.5 MPa should be continuously established to obtain the complete physical characteristics of the experiment under different pressures, flow rates and pore conditions. The experimental method for crack conditions is the same as the experimental method for pore conditions.

B.利用該取熱結果擬合一孔隙取熱模型,完成於孔隙及裂隙條件下之一模擬物理特性,建立一地熱取熱模型。其係以該地熱儲集層實驗系統經由取熱實驗獲得之該取熱結果,再依照該測試段(1)以等比例,藉由該電腦(18)擬合出以布林克曼〔Brinkman〕模型與熱傳模組之該孔隙取熱模型做為基礎之該地熱取熱模型,以供利用該電腦(18)以電腦模擬該工作流體於地熱儲集層內之取熱現象的各種模擬物理特性。該模擬物理特性係包含以該取熱結果提供該電腦(18)中之該孔隙取熱模型以擬合出在各種不同壓力與流量條件下之熱分散性,藉由與取熱實驗過程所量測的取熱量與入出口溫差之熱分散性進行比較其差異性,並進行修改,以擬合出更準確的該孔隙取熱模型,藉以建立該地熱取熱模型。B. Use this heat extraction result to fit a pore heat extraction model, complete a simulation of physical characteristics under the conditions of pores and cracks, and establish a geothermal heat extraction model. It is based on the heat extraction result obtained by the geothermal reservoir experiment system through the heat extraction experiment, and then is proportionally fitted by the computer (18) to Brinkman according to the test section (1). 〕The model and the thermal model of the heat transfer module as the basis of the geothermal model, for the use of the computer (18) computer simulation of the working fluid in the geothermal reservoir of various simulations Physical characteristics. The simulated physical characteristics include providing the pore heat extraction model in the computer (18) with the heat extraction results to fit the heat dispersibility under various pressure and flow conditions, measured by the heat extraction experiment process The difference between the measured heat extraction and the heat dissipation of the temperature difference between the inlet and the outlet is compared and modified to fit the pore heat extraction model more accurately to establish the geothermal heat extraction model.

請參考第三圖所示,不論是同時可供冷工作流體(21)輸入,而熱工作流體(22)輸出的單井地熱系統(2);或是其中一井可供一冷工作流體(21)輸入,而另一井可供熱工作流體(22)輸出的雙井地熱系統(2A)。以水做為工作流體的取熱模式均與孔隙熱傳相關,故以該孔隙取熱模型(3)做為合理之該地熱取熱模型。該孔隙取熱模型(3)係於該電腦(18)中以電腦模擬方式,探討該工作流體於多孔介質中熱傳之關係,其所建構的該地熱取熱模型設定為流場與溫度場兩種模型之耦合類型,其數學模型包含連續方程式、動量平衡方程式、介質能量平衡方程式及流體能量平衡方程式等。Please refer to the third figure, whether it is a single-well geothermal system (2) that can simultaneously supply cold working fluid (21) input and hot working fluid (22) output; or one of the wells can provide a cold working fluid ( 21) A dual-well geothermal system (2A) with input and another well for hot working fluid (22) output. The heat extraction modes using water as the working fluid are all related to the pore heat transfer, so the pore heat extraction model (3) is used as a reasonable geothermal heat extraction model. The pore heat extraction model (3) is a computer simulation in the computer (18) to discuss the relationship between the heat transfer of the working fluid in the porous medium. The geothermal heat model constructed by it is set to flow field and temperature field. The coupling model of the two models, the mathematical model includes continuous equations, momentum balance equations, medium energy balance equations and fluid energy balance equations.

該連續方程式之計算公式(二)如下所示:The calculation formula (2) of the continuous equation is as follows:

Figure 02_image003
Figure 02_image003
.

該動量平衡方程式之計算公式(三)如下所示:The calculation formula (3) of the momentum balance equation is as follows:

Figure 02_image005
Figure 02_image005
.

多孔介質熱傳之統御方程式係由平均體積法求得,使孔隙和介質之間能個別獲得固有的平均性值,在介質與流體之間的熱傳平衡方程式已被廣泛的用於分析多孔介質之熱傳。因此以傅立葉定律(Fourier's Law)描述在多孔介質中完全飽和之介質與流體。該介質能量平衡方程式之計算公式(四)如下所示:The dominant equation of heat transfer in porous media is obtained by the average volume method, so that the inherent average value can be obtained between the pores and the medium. The heat transfer balance equation between the medium and the fluid has been widely used to analyze porous media Heat spread. Therefore, Fourier's Law is used to describe the fully saturated medium and fluid in porous media. The calculation formula (4) of the medium energy balance equation is as follows:

Figure 02_image007
Figure 02_image007
.

該流體能量平衡方程式之計算公式(五)如下所示:The calculation formula (5) of the fluid energy balance equation is as follows:

Figure 02_image009
Figure 02_image009
.

方程式中ρ為密度、u為流體的流速、Qbr 為質量力、ε為孔隙率、𝜇為流體的動力黏度、κ為滲透率、F為強制力項、Cp 為常壓比熱及𝑘為熱傳導係數。如第四圖所示,於該地熱取熱模型中,該孔隙取熱模型(3)表面設定為一恆定熱源對其內部加熱,且一端設有一入口(31),以供冷工作流體(21)輸入,另一端設有一出口(32),以供加後後成為熱工作流體(22)輸出。分別改變入口流速、系統壓力與內部介質粒徑,觀察出口溫度及內壁溫度的變化。藉由該孔隙取熱模型(3),將可電腦模擬一封閉區域中之流體注入儲集層後,經由該孔隙取熱模型(3)計算取熱之現象,並獲得一模擬結果。所要比較之模擬結果為流體之取熱量,並將取熱實驗記錄之溫度,用以計算沿著儲集層之整體溫度分布,並與該孔隙取熱模型(3)模擬結果比較之。計算公式如下所示:In the equation, ρ is the density, u is the flow velocity of the fluid, Q br is the mass force, ε is the porosity, 𝜇 is the fluid's dynamic viscosity, κ is the permeability, F is the force term, C p is the atmospheric specific heat and 𝑘 is Thermal conductivity. As shown in the fourth figure, in the geothermal heating model, the surface of the pore heating model (3) is set to a constant heat source to heat its interior, and an inlet (31) is provided at one end for cooling the working fluid (21 ) Input, the other end is provided with an outlet (32) for the output of hot working fluid (22) after addition. Change the inlet flow rate, system pressure and internal medium particle size respectively, and observe the changes in outlet temperature and inner wall temperature. Through the pore heating model (3), after the fluid in a closed area can be computer-simulated injected into the reservoir, the phenomenon of heat extraction is calculated through the pore heating model (3), and a simulation result is obtained. The simulation result to be compared is the heat extraction of the fluid, and the temperature recorded in the heat extraction experiment is used to calculate the overall temperature distribution along the reservoir and compared with the simulation results of the pore heat extraction model (3). The calculation formula is as follows:

Figure 02_image011
Figure 02_image011
.

經由測試不同壓力下之模擬結果,係已確定該地熱儲集層實驗系統足以模擬2-3千公尺深之地底儲集層之現象。如第五圖所示,係為10、30MPa下空管與粒徑1.54mm及2.03mm隨流量變化之出入口溫差。先利用內建之水性質做為該地熱取熱模型探討10MPa及30MPa下之狀況。模擬結果可以觀察到壓力對取熱之影響極微,由此可以證明,以該地熱儲集層實驗系統在100大氣壓左右建立的該測試段(1),已足以模擬地底儲集層之狀況。亦觀察到孔隙的變化影響亦小,但空管(裂隙流)與孔隙條件之影響則有顯著之差異。而流量對取熱為最主要之影響,由此可知,未來可進一步針對在取熱實驗與電腦模擬上將進行10MPa附近不同壓力下空管與不同孔隙率條件之不同流量之取熱分析。Through testing the simulation results under different pressures, it has been determined that the geothermal reservoir experimental system is sufficient to simulate the phenomenon of 2-3 thousand meters deep underground reservoirs. As shown in the fifth figure, it is the temperature difference between the inlet and the outlet of the empty tube at 10 and 30 MPa and the particle size of 1.54 mm and 2.03 mm as the flow rate changes. First use the built-in water properties as the geothermal heat extraction model to discuss the conditions under 10MPa and 30MPa. The simulation results can observe that the pressure has little effect on heat extraction, which can prove that the test section (1) established by the geothermal reservoir experimental system at about 100 atmospheres is sufficient to simulate the condition of the underground reservoir. It is also observed that the effect of pore changes is also small, but the effect of empty tubes (fracture flow) and pore conditions is significantly different. The flow rate has the most important effect on heat extraction. It can be seen that in the future, heat flow analysis of different flow rates of empty tubes and different porosity conditions at different pressures around 10 MPa can be further conducted in the heat extraction experiment and computer simulation.

該地熱取熱模型之熱擴散性質為一經驗值,類似熱對流係數必須依賴實驗獲得。故本發明以取熱實驗之取熱結果擬合該孔隙取熱模型建立合理之該地熱取熱模型即為此緣故。孔隙熱傳中之模擬物理特性之定義如下。The thermal diffusion property of the geothermal heat extraction model is an empirical value, and similar thermal convection coefficients must be obtained through experiments. Therefore, the present invention uses the heat extraction result of the heat extraction experiment to fit the pore heat extraction model to establish a reasonable geothermal heat extraction model for this reason. The definition of simulated physical properties in pore heat transfer is as follows.

熱擴散性:

Figure 02_image013
。Thermal diffusivity:
Figure 02_image013
.

有效熱傳導係數:Effective thermal conductivity:

Figure 02_image015
Figure 02_image015
.

有效比熱:

Figure 02_image017
。Effective specific heat:
Figure 02_image017
.

縱向熱分散性:

Figure 02_image019
。Longitudinal heat dispersion:
Figure 02_image019
.

橫向熱分散性:

Figure 02_image021
。Lateral heat dispersion:
Figure 02_image021
.

由於本發明已完成在空管、粒徑為1.54mm及2.03mm情況下,建立該地熱取熱模型。已建立之該地熱儲集層實驗系統亦已完成在7.5MPa空管條件時,流量為0.33g/s、0.66g/s、0.99g/s與1.32g/s之取熱實驗,繼而將該取熱結果擬合該地熱取熱模型之模擬結果,以獲得此條件下之熱擴散係數。藉由調整該地熱取熱模型中的縱向與橫向熱分散性(λlo λtr ),使該地熱取熱模型之電腦模擬情況可擬合取熱實驗之取熱結果,並與取熱實驗比較出入口溫差及取熱量,以確認電腦模擬之正確性。經校驗後發現,取熱實驗之取熱結果與電腦模擬之模擬結果,該測試段於出入口溫差比較結果如第六圖所示,其平均誤差值皆小於0.001%。而取熱結果與模擬結果之取熱量比較結果如第七圖所示,其平均誤差值皆小於0.72%。由上述比較結果可看出模擬結果與取熱結果吻合,故可建立正確之熱分散性。Since the invention has completed the establishment of the geothermal heat extraction model in the case of an empty tube with a particle size of 1.54 mm and 2.03 mm. The established geothermal reservoir experimental system has also completed heat extraction experiments with flow rates of 0.33g/s, 0.66g/s, 0.99g/s and 1.32g/s under the condition of 7.5MPa empty pipe, and then the The heat extraction result fits the simulation result of the geothermal heat extraction model to obtain the thermal diffusion coefficient under this condition. By adjusting the longitudinal and lateral heat dissipation ( λ lo and λ tr ) in the geothermal heating model, the computer simulation of the geothermal heating model can be fitted to the heat extraction results of the heat extraction experiment and the heat extraction experiment Compare the temperature difference between entrance and exit and extract heat to confirm the accuracy of computer simulation. After verification, it is found that the heat extraction results of the heat extraction experiment and the computer simulation results are shown in the sixth figure, and the average error value of the test section at the entrance and exit is less than 0.001%. The comparison between the heat extraction result and the simulation result is shown in the seventh figure, and the average error value is less than 0.72%. From the above comparison results, it can be seen that the simulation results are consistent with the heat extraction results, so the correct heat dispersibility can be established.

如第六圖及第七圖所示,係顯示質量流率增大,使取熱量增大,但造成該測試段之出入口溫差減小。因此隨著質量流率之增加,取熱量有一可預測之趨近值。因此,於實際的地熱單井中將存在一適當之出口流量可獲得一最大之取熱量。並且發現在熱分散性上,如第八圖所示,根據熱分散性(kdisp )定義而言,流速、比熱與分散性均會對熱擴散係數產生影響。但流速為平方項,因此在低流速時孔隙熱傳之分散性為一有影響力之因子,此時孔隙熱傳效果大於裂隙流(空管)之熱傳效果。但流速上升時,分散性之影響迅速降低,故流率上升後,造成空管之熱傳較孔隙熱傳之流動為佳。亦即,低流速在孔隙條件下取熱效果較好,但高流速時則是裂隙條件較好。As shown in the sixth and seventh figures, it shows that increasing the mass flow rate increases the heat extraction, but causes the temperature difference between the entrance and exit of the test section to decrease. Therefore, as the mass flow rate increases, the heat extraction has a predictable approach value. Therefore, there will be an appropriate outlet flow rate in the actual geothermal single well to obtain a maximum heat extraction. And it was found that in terms of thermal dispersibility, as shown in the eighth figure, according to the definition of thermal dispersibility (k disp ), flow velocity, specific heat and dispersibility all have an effect on the thermal diffusivity. However, the flow velocity is a square term, so the dispersion of pore heat transfer is an influential factor at low flow rates. At this time, the pore heat transfer effect is greater than the fissure flow (empty tube) heat transfer effect. However, when the flow rate increases, the effect of dispersion decreases rapidly. Therefore, after the flow rate increases, the heat transfer of the empty tube is better than that of the pore heat transfer. That is to say, the effect of heat extraction under pore conditions is better at low flow rates, but the crack conditions are better at high flow rates.

C.利用該地熱儲集層實驗系統放大尺度,並結合一管流模型模擬建立一單井取熱模型,輸入不同時間點的一地熱產能資料,建立一地熱井之總熱阻,並比較其差異性,藉以修正該單井取熱模型。於該電腦中係以上述取熱實驗擬合之地熱儲集層實驗系統,結合該管流模型放大至現地尺度模型,以供實際應用於現地之地熱系統進行評估。由於各個地點的地質構造、特性、物理與化學條件之複雜,位於不同地熱場址之地熱儲集層結構均不相同。建立合理的現地數值之該單井取熱模型,將有助於了解地底熱流現象與各種操作參數設定,進一步預測總地熱發電產能、最佳化地熱井之熱量取得。本發明結合的該管流模型,係以宜蘭縣的清水地區之單井尺寸為基準,做成為現地的該單井取熱模型。現地取熱的該單井取熱模型之尺度放大,為依照目前清水現地鑿井之尺寸、深度及2008年前後之產能測試,以建立該單井取熱模型。繼而調整注入之流量以取熱最大化。由放大之數值模型結果,可預期現地取熱之取熱規模,藉此於評估成本時有一參考依據。該單井取熱模型之幾何設計,如第九圖所示,係以一中空的圓柱管(4)形成該管流模型,並於其底部部分填入一多孔隙介質(41),該多孔隙介質(41)係模擬儲集層之狀態,調整注入之流量將以取熱最大化規劃,以銜接下一步的取熱評估。C. Use the geothermal reservoir experimental system to enlarge the scale and combine with a tube flow model to establish a single-well heat extraction model, input the data of a geothermal productivity at different time points, establish the total thermal resistance of a geothermal well, and compare them The difference can be used to modify the single well heating model. In this computer, a geothermal reservoir experiment system fitted with the above heat extraction experiment is used, and the tube flow model is enlarged to the local scale model for the actual application of the local geothermal system for evaluation. Due to the complexity of the geological structure, characteristics, physical and chemical conditions of each location, the geothermal reservoir structures located in different geothermal sites are different. Establishing a reasonable in-situ numerical heat extraction model for this single well will help to understand the underground heat flow phenomenon and various operating parameter settings, further predict the total geothermal power generation capacity, and optimize the heat acquisition of the geothermal well. The tube flow model combined with the present invention is based on the size of a single well in the Qingshui area of Yilan County, and is used as the current single-well heat extraction model. The scale of the single-well heat extraction model for on-site heat extraction is to build the single-well heat extraction model based on the size, depth and production capacity of the current clean water on-site drilling. Then adjust the injection flow to maximize heat. From the enlarged numerical model results, it is possible to anticipate the heat extraction scale of the local heat extraction, so as to have a reference basis when evaluating the cost. The geometric design of the single-well heat extraction model is shown in the ninth figure. A hollow cylindrical tube (4) is used to form the tube flow model, and a porous medium (41) is filled at the bottom of the tube. Porous medium (41) simulates the state of the reservoir, and the adjusted injection flow rate will be planned to maximize heat extraction to connect with the next heat assessment.

再透過該電腦,將西元2008年至2009年清水地區現地一地熱井的地熱產能資料輸入該單井取熱模型,從而獲得該地熱井之一舊總熱阻(以整體單井視為一系統)。繼而,將西元2017年清水地區該地熱井某一筆現地的地熱產能資料輸該入單井取熱模型而獲得一新總熱阻。該新、舊總熱阻之計算係分別以該地熱井的熱散失除以(井溫與環境溫度之差值)即可求得。比較該新、舊總熱阻之差異(新、舊總熱阻相減後除以2008至2009數值之百分比),藉以修正並更新該單井取熱模型,即可獲得新的該單井取熱模型,並驗證該地熱井隨時間之流量衰減狀況。不同時間點的該地熱產能資料係包含有該地熱井之深度、直徑、井底溫度、出口溫度、出口壓力及流量之數據。經由修正該單井取熱模型,藉以可預測未來不同管徑之產能測試結果,並可於該單井取熱模型中預測最佳之產能結果。利用該單井取熱模型之表面設定為一以現地產能測試擬合出之散熱面。分別改變入口流速、系統壓力,繼而觀察出口溫度及內壁溫度的變化,與已知之產能測試擬合,進一步獲得推估之井壁熱量損失,以獲得該地熱井之總熱阻,以求出在設定地層條件下之取熱量及效率。Then through this computer, the geothermal productivity data of a local geothermal well in Qingshui area from 2008 to 2009 is input into the single-well heating model, so as to obtain the old total thermal resistance of one of the geothermal wells (taking the overall single well as a system ). Then, the current geothermal productivity data of the geothermal well in the Qingshui area in 2017 was imported into the single-well heating model to obtain a new total thermal resistance. The calculation of the new and old total thermal resistance can be obtained by dividing the heat dissipation of the geothermal well by (the difference between the well temperature and the ambient temperature). Compare the difference between the new and old total thermal resistances (the new and old total thermal resistances are subtracted and then divided by the percentage of 2008 to 2009) to correct and update the single-well heating model to obtain the new single-well sampling Thermal model and verify the flow attenuation of the geothermal well over time. The geothermal productivity data at different time points includes data on the depth, diameter, bottom hole temperature, outlet temperature, outlet pressure and flow rate of the geothermal well. By revising the single-well heating model, it can predict the future capacity test results of different pipe diameters, and can predict the best productivity results in the single-well heating model. The surface using the single-well heat extraction model is set as a heat dissipation surface fitted by the local productivity test. Change the inlet flow rate and the system pressure separately, and then observe the changes in the outlet temperature and the inner wall temperature, and fit it with the known productivity test to further obtain the estimated heat loss of the well wall to obtain the total thermal resistance of the geothermal well to obtain Heat extraction and efficiency under set formation conditions.

D.利用一最佳化方法使該單井取熱模型計算最佳化取熱量。係以該最佳化方法計算出在已知一地熱井深度及岩層孔隙狀態下,最適合之該地熱井注入流量,以獲得流經該地熱井後可擷取之最大取熱量,同時達到最佳之出口溫度範圍。僅需針對初始模組進行最佳化設計,即可獲得一最佳化之模組,同時獲得相對之最佳化操作參數。所使用之該最佳化方法,透過最佳化過程重複以一相似產能測試模型模擬以求出最佳之設計。以最佳化模型工作條件及設計參數。所使用之最佳化方法係為簡易共軛梯度法(Simplified Conjugated Gradient Method,SCGM),該簡易共軛梯度法於計算目標函數時,將有助敏感性分析。先對每個設計參數進行初始猜測,其次在疊代過程中的共軛梯度係數和搜尋方向進行評估,依此過程不斷更新設計參數。當目標函數達到設計要求,最佳化過程完成。其主要計算公式如下所示:D. Use an optimization method to make the single-well heat extraction model calculate the optimized heat extraction. The optimization method is used to calculate the most suitable injection rate of the geothermal well under a known geothermal well depth and rock formation pore state to obtain the maximum heat extraction that can be extracted after flowing through the geothermal well and at the same time to achieve the maximum The best outlet temperature range. Only by optimizing the initial module, an optimized module can be obtained, and the relative optimized operating parameters can be obtained. The optimization method used is repeatedly simulated by a similar capacity test model through the optimization process to find the best design. To optimize the model working conditions and design parameters. The optimization method used is the Simplified Conjugated Gradient Method (SCGM). This simple conjugated gradient method will help sensitivity analysis when calculating the objective function. First make an initial guess for each design parameter, and secondly evaluate the conjugate gradient coefficient and search direction during the iteration process, and continuously update the design parameters according to this process. When the objective function meets the design requirements, the optimization process is completed. The main calculation formula is as follows:

Figure 02_image023
(六)。
Figure 02_image023
(six).

其中𝑎𝑘 是設計參數,𝛽𝑘 是疊代搜尋的步距,𝜉𝑘 是疊代搜尋的方向。疊代搜尋的方向為線性組合的最速下降方向,與目標函數的梯度有關,其計算公式如下所示:Among them, 𝑎 𝑘 is the design parameter, 𝛽 𝑘 is the step of iterative search, and 𝜉 𝑘 is the direction of iterative search. The direction of the iterative search is the direction of the steepest descent of the linear combination, which is related to the gradient of the objective function. The calculation formula is as follows:

Figure 02_image025
(七)。
Figure 02_image025
(Seven).

其中J是目標函數,r是共軛梯度係數。Where J is the objective function and r is the conjugate gradient coefficient.

共軛梯度係數計算公式如下:The calculation formula of the conjugate gradient coefficient is as follows:

Figure 02_image027
(八)。
Figure 02_image027
(Eight).

其中,該步距𝛽𝑘 可以假設為一個固定值,𝛽𝑘 =C,𝑘=1,2…,𝑛。Among them, the step distance 𝛽 𝑘 can be assumed to be a fixed value, 𝛽 𝑘 =C, 𝑘=1, 2…, 𝑛.

其中,C值的大小係根據所設定之最佳化問題而決定。簡易共軛梯度法的步驟如下。Among them, the size of the C value is determined according to the optimization problem set. The steps of the simple conjugate gradient method are as follows.

a.定義設計參數𝑎𝑘 ,𝑘=1,2…,𝑛。a. Define the design parameters 𝑎 𝑘 , 𝑘=1, 2…, 𝑛.

b.使用多重物理量軟體計算目標函數J,當目標函數達到設計要求,該求解過程將終止,否則跳到步驟c。b. Use multiple physical quantity software to calculate the objective function J. When the objective function meets the design requirements, the solution process will be terminated, otherwise skip to step c.

c.執行數值敏感度分析,首先給一個Δ𝑎𝑘 擾動值。然後計算目標函數的改變所得到的比值Δ𝐽,接下來可以直接計算梯度函數在各個設計參數的數值微分如下所示:c. To perform numerical sensitivity analysis, first give a disturbance value of Δ𝑎 𝑘 . Then calculate the ratio Δ𝐽 of the change of the objective function, and then you can directly calculate the numerical differentiation of the gradient function in each design parameter as follows:

Figure 02_image029
Figure 02_image029
.

利用上述計算公式(六)、(七)及(八)計算各個設計參數𝑎𝑘 ,𝑘=1,2,…,n之共軛梯度係數r和共軛梯度搜尋方向𝜉𝑘Use the above calculation formulas (6), (7) and (8) to calculate each design parameter 𝑎 𝑘 , 𝑘=1, 2, …, n the conjugate gradient coefficient r and the conjugate gradient search direction 𝜉 𝑘 .

d.對於所有設計參數給予步距𝛽𝑘 ,𝑘=1,2,…,𝑛。d. For all design parameters, give the step 𝛽 𝑘 , 𝑘=1, 2, …, 𝑛.

e.使用計算公式(六)更新下一個疊代時的所有設計參數,然後回到步驟b。e. Use the calculation formula (6) to update all design parameters at the next iteration, and then return to step b.

待數值結果得到最佳化後,利用數值模擬建立新的該單井取熱模型,再根據新的該單井取熱模型進行最佳化操作條件之熱交換分析,以計算出最佳化取熱量。After the numerical results are optimized, the new single-well heat extraction model is established by numerical simulation, and then the heat exchange analysis of the optimized operating conditions is performed according to the new single-well heat extraction model to calculate the optimized optimization Heat.

本發明係可為一種地熱井產能預估系統,係以上述地熱井產能預估方法所建立而成。藉以可供做為地熱井相似產能的模擬之用,以降低實際產能測試之成本與時間。並容易與發電廠設計、機組選擇等模型連結成為地熱發電廠發電規模預測之模型,進一步提出各單井之發電潛能預估。The invention can be a geothermal well productivity estimation system, which is established by the above geothermal well productivity estimation method. It can be used for the simulation of similar productivity of geothermal wells, so as to reduce the cost and time of actual productivity testing. It is easy to connect with models such as power plant design and unit selection to become a model for predicting the power generation scale of geothermal power plants, and further put forward the prediction of the power generation potential of each single well.

綜合上述實施例之說明,當可充分瞭解本發明之操作、使用及本發明產生之功效,惟以上所述實施例僅係為本發明之較佳實施例,當不能以此限定本發明實施之範圍,即依本發明申請專利範圍及發明說明內容所作簡單的等效變化與修飾,皆屬本發明涵蓋之範圍內。Based on the description of the above embodiments, the operation, use and effects of the present invention can be fully understood. However, the above-mentioned embodiments are only preferred embodiments of the present invention, and cannot be used to limit the implementation of the present invention. The scope, that is, simple equivalent changes and modifications made in accordance with the scope of the present invention's patent application and the description of the invention, is within the scope of the present invention.

(1):測試段(11):正排量泵(12):預熱水槽(13):流量計(14):壓力調節閥(15):冷卻水槽(16):訊號線(17):資料記錄器(18):電腦(19):熱電偶(2):單井地熱系統(2A):雙井地熱系統(21):冷工作流體(22):熱工作流體(3):孔隙取熱模型(31):入口(32):出口(4):圓柱管(41):多孔隙介質(1): Test section (11): Positive displacement pump (12): Preheating water tank (13): Flow meter (14): Pressure regulating valve (15): Cooling water tank (16): Signal line (17): Data recorder (18): computer (19): thermocouple (2): single-well geothermal system (2A): dual-well geothermal system (21): cold working fluid (22): hot working fluid (3): pore Thermal model (31): inlet (32): outlet (4): cylindrical tube (41): porous medium

[第一圖]係為本發明實施例之地熱井產能預估方法的流程圖。[The first figure] is a flowchart of a method for estimating the productivity of a geothermal well according to an embodiment of the present invention.

[第二圖]係為本發明實施例地熱儲集層實驗系統之配置圖。[Second figure] is a configuration diagram of a geothermal reservoir experimental system according to an embodiment of the present invention.

[第三圖]係為本發明實施例地熱取熱模型之示意圖。[Third figure] is a schematic diagram of a geothermal heat extraction model according to an embodiment of the present invention.

[第四圖]係為本發明實施例孔隙取熱模型之示意圖。[Fourth figure] is a schematic diagram of a pore heating model according to an embodiment of the present invention.

[第五圖]係為本發明實施例於10、30MPa下空管與粒徑1.54mm及2.03mm隨流量變化之出入口溫差的比較圖。[Fifth figure] is a comparison diagram of the temperature difference between the inlet and the outlet of the hollow tube at 10 and 30 MPa and the particle size of 1.54 mm and 2.03 mm with the flow rate according to the embodiment of the invention.

[第六圖]係為本發明實施例取熱結果與模擬結果之測試段於出入口溫差的比較圖。[Sixth figure] is a comparison diagram of the temperature difference between the heating section and the simulation result at the entrance and exit of the embodiment of the present invention.

[第七圖]係為本發明實施例取熱結果與模擬結果之取熱量的比較圖。[Seventh figure] is a comparison chart of the heat extraction results of the heat extraction result and the simulation result of the embodiment of the present invention.

[第八圖]係為本發明實施例裂隙流與孔隙流在不同流量下之縱向與橫向熱分散性結果的比較圖。[Figure 8] is a comparison diagram of longitudinal and lateral heat dissipation results of crack flow and pore flow at different flow rates according to an embodiment of the present invention.

[第九圖]係為本發明實施例單井取熱模型之示意圖。[The ninth figure] is a schematic diagram of a single-well heat extraction model according to an embodiment of the present invention.

Claims (9)

一種地熱井產能預估方法,包含有: 建立一地熱儲集層實驗系統,經由取熱實驗藉以獲得一取熱結果,該地熱儲集層實驗系統係藉由一高壓測試管路所形成之一測試段,藉以模擬一工作流體流經一儲集層之該取熱結果; 利用該取熱結果擬合一孔隙取熱模型,完成於孔隙及裂隙條件下之一模擬物理特性,建立一地熱取熱模型,係以該地熱儲集層實驗系統經由該取熱結果,再依照該測試段以等比例,利用一電腦以電腦模擬該工作流體於該儲集層內之取熱現象,並獲得一模擬結果,比較該模擬結果與該取熱結果之差異性; 利用該地熱儲集層實驗系統放大尺度,並結合一管流模型模擬建立一單井取熱模型,輸入不同時間點的一地熱產能資料,建立一地熱井之總熱阻,並比較其差異性,藉以修正該單井取熱模型,於該電腦中以該地熱儲集層實驗系統,結合該管流模型放大至現地尺度模型,以形成該單井取熱模型,藉以供實際應用於現地之地熱系統進行評估; 利用一最佳化方法使該單井取熱模型計算最佳化取熱量,利用該最佳化方法計算出在已知地熱井深度及岩層孔隙狀態下,及最適合之地熱井注入流量,以獲得流經地熱井後可擷取之最大取熱量。A geothermal well productivity forecasting method includes: establishing a geothermal reservoir experiment system to obtain a heat extraction result through a heat extraction experiment. The geothermal reservoir experiment system is formed by a high-pressure test pipeline In the test section, the heat extraction result of a working fluid flowing through a reservoir is simulated; the heat extraction result is used to fit a pore heat extraction model to complete a simulated physical characteristic under pore and fracture conditions to establish a geothermal extraction The thermal model is based on the heat extraction result of the geothermal reservoir experimental system, and then using the computer to simulate the heat extraction phenomenon of the working fluid in the reservoir in a proportional manner according to the test section, and obtain a Simulation results, compare the difference between the simulation results and the heat extraction results; use the geothermal reservoir experimental system to enlarge the scale, and combine with a tube flow model simulation to establish a single well heat extraction model, input a geothermal production capacity at different time points Data, establish the total thermal resistance of a geothermal well, and compare the differences, so as to modify the single well heat extraction model, and use the geothermal reservoir experimental system in the computer to enlarge the current model with the pipe flow model to the local scale model. To form the single-well heat extraction model for practical application to the local geothermal system for evaluation; use an optimization method to make the single-well heat extraction model calculate the optimal heat extraction, and use the optimization method to calculate the Knowing the depth of the geothermal well and the pore state of the rock formation, and the most suitable geothermal well injection flow rate, to obtain the maximum amount of heat that can be extracted after flowing through the geothermal well. 如申請專利範圍第1項所述地熱井產能預估方法,其中,該取熱結果包含於不同之介質粒徑、壓力、流量、孔隙率、層流狀態或流速下,該工作流體的實驗物理特性之變化。The geothermal well productivity estimation method as described in item 1 of the patent application scope, wherein the heat extraction result is included in the experimental physics of the working fluid under different medium particle sizes, pressures, flow rates, porosities, laminar flow states or flow rates Changes in characteristics. 如申請專利範圍第2項所述地熱井產能預估方法,其中,該實驗物理特性包含熱交換效率、熱對流係數、熱分散性、取熱量其中之一或其任意組合。The method for estimating the productivity of a geothermal well as described in item 2 of the patent application scope, wherein the experimental physical characteristics include one of heat exchange efficiency, heat convection coefficient, heat dispersibility, heat extraction, or any combination thereof. 如申請專利範圍第1項所述地熱井產能預估方法,其中,該模擬物理特性係包含熱分散性、熱擴散性、有效熱傳導係數、有效比熱、縱向熱分散性、橫向熱分散性其中之一或其任意組合。The method for estimating geothermal well productivity as described in item 1 of the patent application scope, wherein the simulated physical properties include thermal dispersibility, thermal diffusivity, effective thermal conductivity, effective specific heat, longitudinal thermal dispersibility, and lateral thermal dispersibility One or any combination thereof. 如申請專利範圍第1項所述地熱井產能預估方法,其中,以該取熱結果提供該電腦中之該孔隙取熱模型擬合出在各種不同壓力與流量條件下之該熱分散性,並與取熱實驗過程所量測的取熱量與入出口溫差進行比較其差異性。The method for estimating the productivity of a geothermal well as described in item 1 of the scope of the patent application, in which the pore heat extraction model in the computer is provided with the heat extraction result to fit the heat dispersibility under various pressure and flow conditions, And compare the difference between the heat extraction measured during the heat extraction experiment and the temperature difference between the inlet and outlet. 如申請專利範圍第1項所述地熱井產能預估方法,其中,將時間在前的任一已知地熱井之該地熱產能資料輸入該單井取熱模型,而獲得該已知地熱井之一舊總熱阻,再將時間在後的該地熱產能資料輸入該單井取熱模型,而獲得該已知地熱井的一新總熱阻,比較該新、舊總熱阻之差異性,藉以修正並更新該單井取熱模型,以獲得新的該單井取熱模型,並驗證該已知地熱井隨時間之流量衰減狀況。The method for estimating geothermal well productivity as described in item 1 of the scope of the patent application, wherein the geothermal productivity data of any known geothermal well at the time is input into the single-well heating model to obtain the known geothermal well An old total thermal resistance, and then input the later geothermal productivity data into the single-well heating model to obtain a new total thermal resistance of the known geothermal well, and compare the difference between the new and old total thermal resistance, Therefore, the single-well heat extraction model is revised and updated to obtain a new single-well heat extraction model, and to verify the flow attenuation status of the known geothermal well with time. 如申請專利範圍第6項所述地熱井產能預估方法,其中,該地熱產能資料係包含有地熱井之深度、直徑、井底溫度、出口溫度、出口壓力及流量之數據。The method for estimating geothermal well productivity as described in item 6 of the patent application scope, wherein the geothermal productivity data includes data on the depth, diameter, bottom hole temperature, outlet temperature, outlet pressure and flow rate of the geothermal well. 如申請專利範圍第1項所述地熱井產能預估方法,其中,藉由該電腦擬合出以一布林克曼模型與一熱傳模組共同建立之該孔隙取熱模型做為基礎之該地熱取熱模型,又該最佳化方法係為簡易共軛梯度法。The method for estimating the productivity of a geothermal well as described in item 1 of the scope of the patent application, in which the pore heating model based on a Brinkman model and a heat transfer module is fitted by the computer as the basis The geothermal heat extraction model and the optimization method are simple conjugate gradient methods. 一種地熱井產能預估系統,係以申請專利範圍第1項至第8項任一項所述地熱井產能預估方法所建立而成。A geothermal well productivity forecasting system is established by the geothermal well productivity forecasting method described in any one of items 1 to 8 of the patent application.
TW107133223A 2018-09-20 2018-09-20 Production capacity estimation method for geothermal well TWI734029B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
TW107133223A TWI734029B (en) 2018-09-20 2018-09-20 Production capacity estimation method for geothermal well

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
TW107133223A TWI734029B (en) 2018-09-20 2018-09-20 Production capacity estimation method for geothermal well

Publications (2)

Publication Number Publication Date
TW202012780A true TW202012780A (en) 2020-04-01
TWI734029B TWI734029B (en) 2021-07-21

Family

ID=71130709

Family Applications (1)

Application Number Title Priority Date Filing Date
TW107133223A TWI734029B (en) 2018-09-20 2018-09-20 Production capacity estimation method for geothermal well

Country Status (1)

Country Link
TW (1) TWI734029B (en)

Cited By (2)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113435774A (en) * 2021-07-09 2021-09-24 西安交通大学 Method, system, equipment and storage medium for evaluating environment influence of geothermal system
CN114689647A (en) * 2022-05-27 2022-07-01 山东省地质矿产勘查开发局八〇一水文地质工程地质大队(山东省地矿工程勘察院) Heat convection type geothermal field development and protection simulation system and simulation method

Family Cites Families (4)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
WO2010031162A1 (en) * 2008-09-16 2010-03-25 Gordon David Sherrer Synchronous and sequential pressure differential applications
NZ591875A (en) * 2008-10-03 2013-06-28 Geothermal Engineering Co Ltd Device for measuring silica concentration and conductivity of steam in a geothermal power generation plant
TWI625460B (en) * 2016-05-20 2018-06-01 國立臺南大學 Enhanced geothermal system and method for building such system
TWM545837U (en) * 2016-12-14 2017-07-21 國立高雄應用科技大學 Geothermal down-well heat exchanger system

Cited By (3)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN113435774A (en) * 2021-07-09 2021-09-24 西安交通大学 Method, system, equipment and storage medium for evaluating environment influence of geothermal system
CN113435774B (en) * 2021-07-09 2023-09-26 西安交通大学 Method, system, equipment and storage medium for evaluating environmental impact of geothermal system
CN114689647A (en) * 2022-05-27 2022-07-01 山东省地质矿产勘查开发局八〇一水文地质工程地质大队(山东省地矿工程勘察院) Heat convection type geothermal field development and protection simulation system and simulation method

Also Published As

Publication number Publication date
TWI734029B (en) 2021-07-21

Similar Documents

Publication Publication Date Title
Signorelli et al. Numerical evaluation of thermal response tests
Al‐Khoury et al. Efficient finite element formulation for geothermal heating systems. Part I: Steady state
Carotenuto et al. A new methodology for numerical simulation of geothermal down-hole heat exchangers
Brunetti et al. A computationally efficient pseudo-3D model for the numerical analysis of borehole heat exchangers
CN106770439A (en) Rock-soil layer is layered Determination of conductive coefficients method
CN109086560A (en) The vertical single U-shaped underground pipe fluid temperature (F.T.) distribution forecasting method of earth source heat pump under variable working condition
Hu et al. Retrofitting abandoned petroleum wells as doublet deep borehole heat exchangers for geothermal energy production—a numerical investigation
Huang et al. Heat transfer performance of deep borehole heat exchanger with different operation modes
Guo et al. Numerical simulation of geothermal energy productivity considering the evolution of permeability in various fractures
TWI734029B (en) Production capacity estimation method for geothermal well
Yin et al. Analysis of flow and thermal breakthrough in leaky downhole coaxial open loop geothermal system
JP5334221B1 (en) Analysis method and analysis program for thermal response test and pumping test
Chang et al. An experimental study on the thermal performance evaluation of SCW ground heat exchanger
Nian et al. Estimation method for layered ground thermal conductivity using genetic algorithm based on a 2-D heat transfer model
Du et al. Experimental and numerical simulation research on heat transfer performance of coaxial casing heat exchanger in 3500m-deep geothermal well in Weihe Basin
Jiayan et al. Effects of variable thermophysical properties of water on the heat extraction of an enhanced geothermal system: A numerical case study
Abbas et al. Experimental investigation of underground seasonal cold energy storage using borehole heat exchangers based on laboratory scale sandbox
Chen et al. Study on long-term performance sustainability of medium deep borehole heat exchanger based on simplified one-dimensional well model
Li et al. Study on heat transfer characteristics of the deep-buried ground heat exchanger under different multi-pipe layouts
Zhang et al. Study on heat extraction characteristics in a rock fracture for the application of enhanced geothermal systems
Li et al. Comparison of the experimental and numerical results of coaxial-type and U-type deep-buried pipes’ heat transfer performances
CN104132962B (en) Test method and test system that high temperature underground heat individual well heat exchange amount measures
TWI625460B (en) Enhanced geothermal system and method for building such system
Guan et al. Dynamic heat transfer analysis on the new U-type medium-deep borehole ground heat exchanger
Xu et al. A comprehensive investigation on U-tube ground heat exchanger performance considering insulation layer in deep geothermal system