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Jingjiang Liu - One of the best experts on this subject based on the ideXlab platform.

  • lithofacies paleogeography and exploration significance of sinian doushantuo depositional stage in the middle upper yangtze region sichuan basin sw china
    Petroleum Exploration and Development, 2019
    Co-Authors: Zecheng Wang, Shipeng Huang, Hua Jiang, Jingjiang Liu, Kun Wang, Qingchun Jiang, Shuyuan Shi, Mengyi Ren, X U Zhengyu, Tianyu Wang
    Abstract:

    Abstract In recent years, natural gas exploration in the Sinian Dengying Formation and shale gas exploration in Doushantuo Formation have made major breakthroughs in the Sichuan Basin and its adjacent areas. However, the sedimentary background of the Doushantuo Formation hasn't been studied systematically. The lithofacies paleogeographic pattern, sedimentary environment, sedimentary evolution and Distribution of Source rocks during the depositional stage of Doushantuo Formation were systematically analyzed by using a large amount of outcrop data, and a small amount of drilling and seismic data. (1) The sedimentary sequence and stratigraphic Distribution of the Sinian Doushantuo Formation in the middle-upper Yangtze region were controlled by paleouplifts and marginal sags. The Doushantuo Formation in the paleouplift region was overlayed with thin thickness, including shore facies, mixed continental shelf facies and atypical carbonate platform facies. The marginal sag had complete strata and large thickness, and developed deep water shelf facies and restricted basin facies. (2) The Doushantuo Formation is divided into four members from bottom to top, and the sedimentary sequence is a complete sedimentary cycle of transgression–high position–regression. The first member is atypical carbonate gentle slope deposit in the early stage of the transgression, the second member is shore-mixed shelf deposit in the extensive transgression period, and the third member is atypical restricted–open sea platform deposit of the high position of the transgression. (3) The second member has organic-rich black shale developed with stable Distribution and large thickness, which is an important Source rock interval and major shale gas interval. The third member is characterized by microbial carbonate rock and has good storage conditions which is conducive to the accumulation of natural gas, phosphate and other mineral reSources, so it is a new area worthy of attention. The Qinling trough and western Hubei trough are favorable areas for exploration of natural gas (including shale gas) and mineral reSources such as phosphate and manganese ore.

  • Lithofacies paleogeography and exploration significance of Sinian Doushantuo depositional stage in the middle-upper Yangtze region, Sichuan Basin, SW China
    KeAi Communications Co. Ltd., 2019
    Co-Authors: Zecheng Wang, Shipeng Huang, Hua Jiang, Jingjiang Liu, Kun Wang, Qingchun Jiang, Shuyuan Shi, Mengyi Ren, Tianyu Wang
    Abstract:

    In recent years, natural gas exploration in the Sinian Dengying Formation and shale gas exploration in Doushantuo Formation have made major breakthroughs in the Sichuan Basin and its adjacent areas. However, the sedimentary background of the Doushantuo Formation hasn't been studied systematically. The lithofacies paleogeographic pattern, sedimentary environment, sedimentary evolution and Distribution of Source rocks during the depositional stage of Doushantuo Formation were systematically analyzed by using a large amount of outcrop data, and a small amount of drilling and seismic data. (1) The sedimentary sequence and stratigraphic Distribution of the Sinian Doushantuo Formation in the middle-upper Yangtze region were controlled by paleouplifts and marginal sags. The Doushantuo Formation in the paleouplift region was overlayed with thin thickness, including shore facies, mixed continental shelf facies and atypical carbonate platform facies. The marginal sag had complete strata and large thickness, and developed deep water shelf facies and restricted basin facies. (2) The Doushantuo Formation is divided into four members from bottom to top, and the sedimentary sequence is a complete sedimentary cycle of transgression–high position–regression. The first member is atypical carbonate gentle slope deposit in the early stage of the transgression, the second member is shore-mixed shelf deposit in the extensive transgression period, and the third member is atypical restricted–open sea platform deposit of the high position of the transgression. (3) The second member has organic-rich black shale developed with stable Distribution and large thickness, which is an important Source rock interval and major shale gas interval. The third member is characterized by microbial carbonate rock and has good storage conditions which is conducive to the accumulation of natural gas, phosphate and other mineral reSources, so it is a new area worthy of attention. The Qinling trough and western Hubei trough are favorable areas for exploration of natural gas (including shale gas) and mineral reSources such as phosphate and manganese ore. Key words: Sinian, Doushantuo Formation, lithofacies paleogeography, Sichuan Basin, paleouplift, marginal sag, carbonate platform, black shale, Source roc

  • formation Distribution reSource potential and discovery of sinian cambrian giant gas field sichuan basin sw china
    Petroleum Exploration and Development, 2014
    Co-Authors: Caineng Zou, Baomin Zhang, Zecheng Wang, Guoqi Wei, D U Jinhu, Xu Chunchun, Tongshan Wang, Genshun Yao, Shenghui Deng, Jingjiang Liu
    Abstract:

    Abstract The Anyue Sinian–Cambrian giant gas field was discovered in central paleo-uplift in the Sichuan Basin in 2013, which is a structural-lithological gas reservoir, with 779.9 km 2 proven gas-bearing area and 4 403.8×10 8 m 3 proven geological reserves in the Cambrian Longwangmiao Formation in Moxi Block, and the discovery implies it possesses trillion-cubic-meter reserves in the Sinian. Cambrian Formations in Sichuan Basin. The main understandings achieved are as follows: (1) Sinian–Cambrian sedimentary filling sequences and division evidence are redetermined; (2) During Late Sinian and Early Cambrian, “Deyang–Anyue” paleo-taphrogenic trough was successively developed and controlled the Distribution of Source rocks in the Lower-Cambrian, characterized by 20–160 m Source rock thickness, TOC 1.7%–3.6% and R o 2.0%–3.5%; (3) Carbonate edge platform occurred in the Sinian Dengying Formation, and carbonate gentle slope platform occurred in the Longwangmiao Formation, with large-scale grain beach near the synsedimentary paleo- uplift; (4) Two types of gas-bearing reservoir, i.e. carbonate fracture-vug type in the Sinian Dengying Formation and dolomite pore type in the Cambrian Longwangmiao Formation, and superposition transformation of penecontemporaneous dolomitization and supergene karst formed high porosity-permeability reservoirs, with 3%–4% porosity and (1–6)×10 −3 μm 2 permeability in the Sinian Dengying Formation, and 4%–5% porosity and (1–5)×10 −3 μm 2 permeability in the Cambrian Longwangmiao Formation; (5) Large paleo-oil pool occurred in the core of the paleo-uplift during late Hercynian—Indosinian, with over 5 000 km 2 and (48–63)×10 8 t oil reSources, and then in the Yanshanian period, in-situ crude oil cracked to generate gas and dispersive liquid hydrocarbons in deep slope cracked to generate gas, both of which provide sufficient gas for the giant gas field; (6) The formation and retention of the giant gas field is mainly controlled by paleo-taphrogenic trough, paleo-platform, paleo-oil pool cracking gas and paleo-uplift jointly; (7) Total gas reSources of the Sinian–Cambrian giant gas field are preliminarily predicted to be about 5×10 12 m 3 , and the paleo-uplift and its slope, southern Sichuan Basin depression and deep formations of the high and steep structure belt in east Sichuan, are key exploration plays. The discovery of deep Anyue Sinian–Cambrian giant primay oil-cracking gas field in the Sichuan Basin, is the first in global ancient strata exploration, which is of great inspiration for extension of oil & gas discoveries for global middle-deep formations from Lower Paleozoic to Middle–Upper Proterozoic strata.

Chee Ban Cheah - One of the best experts on this subject based on the ideXlab platform.

  • chapter 11 an overview on the influence of various factors on the properties of geopolymer concrete derived from industrial byproducts
    Handbook of Low Carbon Concrete, 2017
    Co-Authors: W.k. Part, M. Ramli, Chee Ban Cheah
    Abstract:

    In recent years, the rapid growth in research and development related to geopolymer binders has indeed indicated that the use of geopolymers offers the greatest potential in solving both the environmental degradation, i.e., carbon footprint, related to the use of ordinary Portland cement (OPC) as primary binder material in the construction industry, and waste management problems related to the aluminosilicate solid waste materials generated from various industries. Results of recent studies are indicative that geopolymer concrete fabricated using various industrial byproducts exhibited similar or better mechanical, physical, and durability properties as compared to OPC concrete. This chapter presents a concise review of the current studies on the utilization of industrial byproducts as the primary binder materials in the fabrication of geopolymer concrete and its environmental impact in comparison with OPC concrete. The effects of a number of major factors such as the use of chemical activator, postfabrication curing regime, particle-size Distribution of Source materials, and aggressive environment exposure on the mechanical strength, physical properties, microstructures, and durability properties of the geopolymer concrete are exhaustively deliberated. Besides, the current material design, fabrication procedures, and postfabrication treatment procedures were rigorously reviewed to identify the limitations of the current geopolymer technology that impede its wide implementation in the construction industry. It has been identified that the high alkaline-activator content in the material design and requirement for elevated temperature treatment of the contemporary geopolymeric binder are among the major factors in contributing towards the carbon footprint of geopolymer concrete. A proper life-cycle assessment of geopolymer concrete is warranted. Beside, numerous strategies were proposed to overcome the current limitations of the geopolymer technology to achieving a truly low-carbon concrete material status and ultimately its implementation in actual industrial applications.

  • an overview on the influence of various factors on the properties of geopolymer concrete derived from industrial by products
    Construction and Building Materials, 2015
    Co-Authors: W.k. Part, M. Ramli, Chee Ban Cheah
    Abstract:

    The enormous amount of industrial waste ash generated by power generation industry, timber manufacturing industry, iron and steel making industry, rice milling industry, mining industry etc have posed the aforementioned industry players a great challenge when it comes to the disposal of these ash materials due to the environmental, health, scarcity of lands and other issues. The best approach in overcoming the aforementioned waste management problems is to promote large volume recycling/reuse of these waste materials. In recent years, the rapid growth in research and development related to geopolymer binders has indeed indicated that the use of geopolymer offers the greatest potential in solving not only the waste management problems related to the aluminosilicate solid waste materials generated from various industries, but also the environmental degradation related to the use of OPC as primary binder material in the construction industry. Results of recent studies are indicative that geopolymer concrete fabricated using various industrial by-products exhibited similar or better mechanical, physical and durability properties as compared to OPC concrete. This paper presents a concise review of the current studies on the utilization of industrial by-products as the primary binder materials in the fabrication of geopolymer concrete. The effects of a number of major factors such as the use of chemical activator, post fabrication curing regime, particle size Distribution of Source materials, and aggressive environment exposure on the mechanical strength, physical properties, microstructures and durability properties of the geopolymer concrete are exhaustively deliberated. Besides, the current material design, fabrication procedures and post fabrication treatment procedures were rigorously reviewed to identify the limitations of the current geopolymer technology which impede its wide implementation in the construction industry. It has been identified that the high alkaline content in the material design and requirement for elevated temperature treatment of the contemporary geopolymeric binder are among the major technical challenges which resulted in the limited use of the material in the construction industry. Based upon that, numerous strategies were proposed to overcome the current limitations of the geopolymer technology towards promoting a large scale implementation of the technology in the production of construction materials.

Tianyu Wang - One of the best experts on this subject based on the ideXlab platform.

  • lithofacies paleogeography and exploration significance of sinian doushantuo depositional stage in the middle upper yangtze region sichuan basin sw china
    Petroleum Exploration and Development, 2019
    Co-Authors: Zecheng Wang, Shipeng Huang, Hua Jiang, Jingjiang Liu, Kun Wang, Qingchun Jiang, Shuyuan Shi, Mengyi Ren, X U Zhengyu, Tianyu Wang
    Abstract:

    Abstract In recent years, natural gas exploration in the Sinian Dengying Formation and shale gas exploration in Doushantuo Formation have made major breakthroughs in the Sichuan Basin and its adjacent areas. However, the sedimentary background of the Doushantuo Formation hasn't been studied systematically. The lithofacies paleogeographic pattern, sedimentary environment, sedimentary evolution and Distribution of Source rocks during the depositional stage of Doushantuo Formation were systematically analyzed by using a large amount of outcrop data, and a small amount of drilling and seismic data. (1) The sedimentary sequence and stratigraphic Distribution of the Sinian Doushantuo Formation in the middle-upper Yangtze region were controlled by paleouplifts and marginal sags. The Doushantuo Formation in the paleouplift region was overlayed with thin thickness, including shore facies, mixed continental shelf facies and atypical carbonate platform facies. The marginal sag had complete strata and large thickness, and developed deep water shelf facies and restricted basin facies. (2) The Doushantuo Formation is divided into four members from bottom to top, and the sedimentary sequence is a complete sedimentary cycle of transgression–high position–regression. The first member is atypical carbonate gentle slope deposit in the early stage of the transgression, the second member is shore-mixed shelf deposit in the extensive transgression period, and the third member is atypical restricted–open sea platform deposit of the high position of the transgression. (3) The second member has organic-rich black shale developed with stable Distribution and large thickness, which is an important Source rock interval and major shale gas interval. The third member is characterized by microbial carbonate rock and has good storage conditions which is conducive to the accumulation of natural gas, phosphate and other mineral reSources, so it is a new area worthy of attention. The Qinling trough and western Hubei trough are favorable areas for exploration of natural gas (including shale gas) and mineral reSources such as phosphate and manganese ore.

  • Lithofacies paleogeography and exploration significance of Sinian Doushantuo depositional stage in the middle-upper Yangtze region, Sichuan Basin, SW China
    KeAi Communications Co. Ltd., 2019
    Co-Authors: Zecheng Wang, Shipeng Huang, Hua Jiang, Jingjiang Liu, Kun Wang, Qingchun Jiang, Shuyuan Shi, Mengyi Ren, Tianyu Wang
    Abstract:

    In recent years, natural gas exploration in the Sinian Dengying Formation and shale gas exploration in Doushantuo Formation have made major breakthroughs in the Sichuan Basin and its adjacent areas. However, the sedimentary background of the Doushantuo Formation hasn't been studied systematically. The lithofacies paleogeographic pattern, sedimentary environment, sedimentary evolution and Distribution of Source rocks during the depositional stage of Doushantuo Formation were systematically analyzed by using a large amount of outcrop data, and a small amount of drilling and seismic data. (1) The sedimentary sequence and stratigraphic Distribution of the Sinian Doushantuo Formation in the middle-upper Yangtze region were controlled by paleouplifts and marginal sags. The Doushantuo Formation in the paleouplift region was overlayed with thin thickness, including shore facies, mixed continental shelf facies and atypical carbonate platform facies. The marginal sag had complete strata and large thickness, and developed deep water shelf facies and restricted basin facies. (2) The Doushantuo Formation is divided into four members from bottom to top, and the sedimentary sequence is a complete sedimentary cycle of transgression–high position–regression. The first member is atypical carbonate gentle slope deposit in the early stage of the transgression, the second member is shore-mixed shelf deposit in the extensive transgression period, and the third member is atypical restricted–open sea platform deposit of the high position of the transgression. (3) The second member has organic-rich black shale developed with stable Distribution and large thickness, which is an important Source rock interval and major shale gas interval. The third member is characterized by microbial carbonate rock and has good storage conditions which is conducive to the accumulation of natural gas, phosphate and other mineral reSources, so it is a new area worthy of attention. The Qinling trough and western Hubei trough are favorable areas for exploration of natural gas (including shale gas) and mineral reSources such as phosphate and manganese ore. Key words: Sinian, Doushantuo Formation, lithofacies paleogeography, Sichuan Basin, paleouplift, marginal sag, carbonate platform, black shale, Source roc

Zecheng Wang - One of the best experts on this subject based on the ideXlab platform.

  • lithofacies paleogeography and exploration significance of sinian doushantuo depositional stage in the middle upper yangtze region sichuan basin sw china
    Petroleum Exploration and Development, 2019
    Co-Authors: Zecheng Wang, Shipeng Huang, Hua Jiang, Jingjiang Liu, Kun Wang, Qingchun Jiang, Shuyuan Shi, Mengyi Ren, X U Zhengyu, Tianyu Wang
    Abstract:

    Abstract In recent years, natural gas exploration in the Sinian Dengying Formation and shale gas exploration in Doushantuo Formation have made major breakthroughs in the Sichuan Basin and its adjacent areas. However, the sedimentary background of the Doushantuo Formation hasn't been studied systematically. The lithofacies paleogeographic pattern, sedimentary environment, sedimentary evolution and Distribution of Source rocks during the depositional stage of Doushantuo Formation were systematically analyzed by using a large amount of outcrop data, and a small amount of drilling and seismic data. (1) The sedimentary sequence and stratigraphic Distribution of the Sinian Doushantuo Formation in the middle-upper Yangtze region were controlled by paleouplifts and marginal sags. The Doushantuo Formation in the paleouplift region was overlayed with thin thickness, including shore facies, mixed continental shelf facies and atypical carbonate platform facies. The marginal sag had complete strata and large thickness, and developed deep water shelf facies and restricted basin facies. (2) The Doushantuo Formation is divided into four members from bottom to top, and the sedimentary sequence is a complete sedimentary cycle of transgression–high position–regression. The first member is atypical carbonate gentle slope deposit in the early stage of the transgression, the second member is shore-mixed shelf deposit in the extensive transgression period, and the third member is atypical restricted–open sea platform deposit of the high position of the transgression. (3) The second member has organic-rich black shale developed with stable Distribution and large thickness, which is an important Source rock interval and major shale gas interval. The third member is characterized by microbial carbonate rock and has good storage conditions which is conducive to the accumulation of natural gas, phosphate and other mineral reSources, so it is a new area worthy of attention. The Qinling trough and western Hubei trough are favorable areas for exploration of natural gas (including shale gas) and mineral reSources such as phosphate and manganese ore.

  • Lithofacies paleogeography and exploration significance of Sinian Doushantuo depositional stage in the middle-upper Yangtze region, Sichuan Basin, SW China
    KeAi Communications Co. Ltd., 2019
    Co-Authors: Zecheng Wang, Shipeng Huang, Hua Jiang, Jingjiang Liu, Kun Wang, Qingchun Jiang, Shuyuan Shi, Mengyi Ren, Tianyu Wang
    Abstract:

    In recent years, natural gas exploration in the Sinian Dengying Formation and shale gas exploration in Doushantuo Formation have made major breakthroughs in the Sichuan Basin and its adjacent areas. However, the sedimentary background of the Doushantuo Formation hasn't been studied systematically. The lithofacies paleogeographic pattern, sedimentary environment, sedimentary evolution and Distribution of Source rocks during the depositional stage of Doushantuo Formation were systematically analyzed by using a large amount of outcrop data, and a small amount of drilling and seismic data. (1) The sedimentary sequence and stratigraphic Distribution of the Sinian Doushantuo Formation in the middle-upper Yangtze region were controlled by paleouplifts and marginal sags. The Doushantuo Formation in the paleouplift region was overlayed with thin thickness, including shore facies, mixed continental shelf facies and atypical carbonate platform facies. The marginal sag had complete strata and large thickness, and developed deep water shelf facies and restricted basin facies. (2) The Doushantuo Formation is divided into four members from bottom to top, and the sedimentary sequence is a complete sedimentary cycle of transgression–high position–regression. The first member is atypical carbonate gentle slope deposit in the early stage of the transgression, the second member is shore-mixed shelf deposit in the extensive transgression period, and the third member is atypical restricted–open sea platform deposit of the high position of the transgression. (3) The second member has organic-rich black shale developed with stable Distribution and large thickness, which is an important Source rock interval and major shale gas interval. The third member is characterized by microbial carbonate rock and has good storage conditions which is conducive to the accumulation of natural gas, phosphate and other mineral reSources, so it is a new area worthy of attention. The Qinling trough and western Hubei trough are favorable areas for exploration of natural gas (including shale gas) and mineral reSources such as phosphate and manganese ore. Key words: Sinian, Doushantuo Formation, lithofacies paleogeography, Sichuan Basin, paleouplift, marginal sag, carbonate platform, black shale, Source roc

  • formation Distribution reSource potential and discovery of sinian cambrian giant gas field sichuan basin sw china
    Petroleum Exploration and Development, 2014
    Co-Authors: Caineng Zou, Baomin Zhang, Zecheng Wang, Guoqi Wei, D U Jinhu, Xu Chunchun, Tongshan Wang, Genshun Yao, Shenghui Deng, Jingjiang Liu
    Abstract:

    Abstract The Anyue Sinian–Cambrian giant gas field was discovered in central paleo-uplift in the Sichuan Basin in 2013, which is a structural-lithological gas reservoir, with 779.9 km 2 proven gas-bearing area and 4 403.8×10 8 m 3 proven geological reserves in the Cambrian Longwangmiao Formation in Moxi Block, and the discovery implies it possesses trillion-cubic-meter reserves in the Sinian. Cambrian Formations in Sichuan Basin. The main understandings achieved are as follows: (1) Sinian–Cambrian sedimentary filling sequences and division evidence are redetermined; (2) During Late Sinian and Early Cambrian, “Deyang–Anyue” paleo-taphrogenic trough was successively developed and controlled the Distribution of Source rocks in the Lower-Cambrian, characterized by 20–160 m Source rock thickness, TOC 1.7%–3.6% and R o 2.0%–3.5%; (3) Carbonate edge platform occurred in the Sinian Dengying Formation, and carbonate gentle slope platform occurred in the Longwangmiao Formation, with large-scale grain beach near the synsedimentary paleo- uplift; (4) Two types of gas-bearing reservoir, i.e. carbonate fracture-vug type in the Sinian Dengying Formation and dolomite pore type in the Cambrian Longwangmiao Formation, and superposition transformation of penecontemporaneous dolomitization and supergene karst formed high porosity-permeability reservoirs, with 3%–4% porosity and (1–6)×10 −3 μm 2 permeability in the Sinian Dengying Formation, and 4%–5% porosity and (1–5)×10 −3 μm 2 permeability in the Cambrian Longwangmiao Formation; (5) Large paleo-oil pool occurred in the core of the paleo-uplift during late Hercynian—Indosinian, with over 5 000 km 2 and (48–63)×10 8 t oil reSources, and then in the Yanshanian period, in-situ crude oil cracked to generate gas and dispersive liquid hydrocarbons in deep slope cracked to generate gas, both of which provide sufficient gas for the giant gas field; (6) The formation and retention of the giant gas field is mainly controlled by paleo-taphrogenic trough, paleo-platform, paleo-oil pool cracking gas and paleo-uplift jointly; (7) Total gas reSources of the Sinian–Cambrian giant gas field are preliminarily predicted to be about 5×10 12 m 3 , and the paleo-uplift and its slope, southern Sichuan Basin depression and deep formations of the high and steep structure belt in east Sichuan, are key exploration plays. The discovery of deep Anyue Sinian–Cambrian giant primay oil-cracking gas field in the Sichuan Basin, is the first in global ancient strata exploration, which is of great inspiration for extension of oil & gas discoveries for global middle-deep formations from Lower Paleozoic to Middle–Upper Proterozoic strata.

Cheinshan Liu - One of the best experts on this subject based on the ideXlab platform.

  • optimal Sources in the mfs by minimizing a new merit function energy gap functional
    Applied Mathematics Letters, 2018
    Co-Authors: Fajie Wang, Cheinshan Liu
    Abstract:

    Abstract The accuracy of the method of fundamental solutions (MFS) is strongly dependent on the Distribution of Source points. A proper choice of Source points is still an important issue in the MFS. In this paper we derive a new merit function, namely the energy gap functional, whose minimum leads to the optimal Distribution of Source points. The new method can improve the accuracy of the MFS for solving the mixed boundary value problem as well as the Cauchy problem of the Laplace equation. The numerical tests confirm that the use of the optimal Sources in the MFS performs well and the accuracy is increased.

  • an energy method of fundamental solutions for solving the inverse cauchy problems of the laplace equation
    Computers & Mathematics With Applications, 2018
    Co-Authors: Fajie Wang, Cheinshan Liu
    Abstract:

    Abstract The accuracy of the method of fundamental solutions (MFS) is heavily influenced by the Distribution of Source points. One often locates the Source points along an offset to the problem boundary or a circle with a fixed radius. In this paper we propose an energy regularization technique to choose the Source points and weighting factors in the numerical solution of the inverse Cauchy problems for the Laplace equation in arbitrary domain. An inequality is derived, which is a criterion to pick up the Source points and weighting factors. This new technique can improve the accuracy of the numerical solution than the MFS with the Distribution of Source points using a fixed offset. Some numerical tests confirm that the energy MFS (EMFS) has a good stability and accuracy, and the computational cost is cheap.

  • an equilibrated method of fundamental solutions to choose the best Source points for the laplace equation
    Engineering Analysis With Boundary Elements, 2012
    Co-Authors: Cheinshan Liu
    Abstract:

    Abstract For the method of fundamental solutions (MFS), a trial solution is expressed as a linear combination of fundamental solutions. However, the accuracy of MFS is heavily dependent on the Distribution of Source points. Two Distributions of Source points are frequently adopted: one on a circle with a radius R , and another along an offset D to the boundary, where R and D are problem dependent constants. In the present paper, we propose a new method to choose the best Source points, by using the MFS with multiple lengths R k for the Distribution of Source points, which are solved from an uncoupled system of nonlinear algebraic equations. Based on the concept of equilibrated matrix, the multiple-length R k is fully determined by the collocated points and a parameter R or D , such that the condition number of the multiple-length MFS (MLMFS) can be reduced smaller than that of the original MFS. This new technique significantly improves the accuracy of the numerical solution in several orders than the MFS with the Distribution of Source points using R or D . Some numerical tests for the Laplace equation confirm that the MLMFS has a good efficiency and accuracy, and the computational cost is rather cheap.