Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection

A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level...
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Gespeichert in:

Autor*in:	Mao, Rong [verfasserIn] Jiao, Jiu Jimmy [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method

Übergeordnetes Werk:	Enthalten in: Journal of hydrology - Amsterdam [u.a.] : Elsevier, 1963, 616
Übergeordnetes Werk:	volume:616

DOI / URN:	10.1016/j.jhydrol.2022.128834

Katalog-ID:	ELV009111786

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520			\|a A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis.
650		4	\|a Falling-head test
650		4	\|a Non-instantaneous injection
650		4	\|a Semi-analytical solution
650		4	\|a Error of Cooper et al. method
650		4	\|a Error of Hvorslev method
700	1		\|a Jiao, Jiu Jimmy \|e verfasserin \|4 aut
773	0	8	\|i Enthalten in \|t Journal of hydrology \|d Amsterdam [u.a.] : Elsevier, 1963 \|g 616 \|h Online-Ressource \|w (DE-627)268761817 \|w (DE-600)1473173-3 \|w (DE-576)077610628 \|x 1879-2707 \|7 nnns
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allfields	10.1016/j.jhydrol.2022.128834 doi (DE-627)ELV009111786 (ELSEVIER)S0022-1694(22)01404-4 DE-627 ger DE-627 rda eng 690 DE-600 38.85 bkl Mao, Rong verfasserin (orcid)0000-0002-3747-0810 aut Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis. Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method Jiao, Jiu Jimmy verfasserin aut Enthalten in Journal of hydrology Amsterdam [u.a.] : Elsevier, 1963 616 Online-Ressource (DE-627)268761817 (DE-600)1473173-3 (DE-576)077610628 1879-2707 nnns volume:616 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 38.85 Hydrologie: Allgemeines AR 616
spelling	10.1016/j.jhydrol.2022.128834 doi (DE-627)ELV009111786 (ELSEVIER)S0022-1694(22)01404-4 DE-627 ger DE-627 rda eng 690 DE-600 38.85 bkl Mao, Rong verfasserin (orcid)0000-0002-3747-0810 aut Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis. Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method Jiao, Jiu Jimmy verfasserin aut Enthalten in Journal of hydrology Amsterdam [u.a.] : Elsevier, 1963 616 Online-Ressource (DE-627)268761817 (DE-600)1473173-3 (DE-576)077610628 1879-2707 nnns volume:616 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 38.85 Hydrologie: Allgemeines AR 616
allfields_unstemmed	10.1016/j.jhydrol.2022.128834 doi (DE-627)ELV009111786 (ELSEVIER)S0022-1694(22)01404-4 DE-627 ger DE-627 rda eng 690 DE-600 38.85 bkl Mao, Rong verfasserin (orcid)0000-0002-3747-0810 aut Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis. Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method Jiao, Jiu Jimmy verfasserin aut Enthalten in Journal of hydrology Amsterdam [u.a.] : Elsevier, 1963 616 Online-Ressource (DE-627)268761817 (DE-600)1473173-3 (DE-576)077610628 1879-2707 nnns volume:616 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 38.85 Hydrologie: Allgemeines AR 616
allfieldsGer	10.1016/j.jhydrol.2022.128834 doi (DE-627)ELV009111786 (ELSEVIER)S0022-1694(22)01404-4 DE-627 ger DE-627 rda eng 690 DE-600 38.85 bkl Mao, Rong verfasserin (orcid)0000-0002-3747-0810 aut Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis. Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method Jiao, Jiu Jimmy verfasserin aut Enthalten in Journal of hydrology Amsterdam [u.a.] : Elsevier, 1963 616 Online-Ressource (DE-627)268761817 (DE-600)1473173-3 (DE-576)077610628 1879-2707 nnns volume:616 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 38.85 Hydrologie: Allgemeines AR 616
allfieldsSound	10.1016/j.jhydrol.2022.128834 doi (DE-627)ELV009111786 (ELSEVIER)S0022-1694(22)01404-4 DE-627 ger DE-627 rda eng 690 DE-600 38.85 bkl Mao, Rong verfasserin (orcid)0000-0002-3747-0810 aut Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection 2022 nicht spezifiziert zzz rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis. Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method Jiao, Jiu Jimmy verfasserin aut Enthalten in Journal of hydrology Amsterdam [u.a.] : Elsevier, 1963 616 Online-Ressource (DE-627)268761817 (DE-600)1473173-3 (DE-576)077610628 1879-2707 nnns volume:616 GBV_USEFLAG_U SYSFLAG_U GBV_ELV SSG-OPC-GGO GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_105 GBV_ILN_110 GBV_ILN_150 GBV_ILN_151 GBV_ILN_224 GBV_ILN_370 GBV_ILN_602 GBV_ILN_702 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2027 GBV_ILN_2034 GBV_ILN_2038 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2056 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2190 GBV_ILN_2336 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4313 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4326 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4393 38.85 Hydrologie: Allgemeines AR 616
language	English
source	Enthalten in Journal of hydrology 616 volume:616
sourceStr	Enthalten in Journal of hydrology 616 volume:616
format_phy_str_mv	Article
bklname	Hydrologie: Allgemeines
institution	findex.gbv.de
topic_facet	Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method
dewey-raw	690
isfreeaccess_bool	false
container_title	Journal of hydrology
authorswithroles_txt_mv	Mao, Rong @@aut@@ Jiao, Jiu Jimmy @@aut@@
publishDateDaySort_date	2022-01-01T00:00:00Z
hierarchy_top_id	268761817
dewey-sort	3690
id	ELV009111786
language_de	englisch
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author	Mao, Rong
spellingShingle	Mao, Rong ddc 690 bkl 38.85 misc Falling-head test misc Non-instantaneous injection misc Semi-analytical solution misc Error of Cooper et al. method misc Error of Hvorslev method Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection
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topic_title	690 DE-600 38.85 bkl Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection Falling-head test Non-instantaneous injection Semi-analytical solution Error of Cooper et al. method Error of Hvorslev method
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title	Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection
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title_full	Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection
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title_sort	analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection
title_auth	Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection
abstract	A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis.
abstractGer	A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis.
abstract_unstemmed	A falling-head test is a common method to estimate aquifer properties in which the water level in a well is increased suddenly, which is a key assumption for the data to be analyzed by traditional methods such as Cooper et al. and Hvorslev methods. However, there are situations where the water level increases in the well occurs for a relatively long period before it falls. In this case theoretically, there is no existing method to analyze the data. Hydrogeologists or geotechnical engineers still use the traditional methods to analyze the data even the water level increase is not instantaneous. This study derives a semi-analytical solution to describe water level change in this case. The mathematical model consists of the injection stage and water level fall stage. It is found that the water level mound induced by non-instantaneous injection leads to slower decrease of water level in the well comparing to the instantaneous injection. This study further analyses the errors of the estimated hydraulic properties if the data are analyzed by traditional methods. If calculated by Cooper et al. method, the storativity is underestimated but there is no impact on estimated hydraulic conductivity. The hydraulic conductivity calculated by Hvorslev method is underestimated and the error of underestimation increases with injection time and aquifer parameters. The actual hydraulic conductivity can be a few times of the estimated value for typical aquifer parameters in Hong Kong. Furthermore, a field experiment is conducted to compare the instantaneous method, non-instantaneous method and field data. The present solution fits the data well, and the errors of estimated parameters by instantaneous injection method are consistent with the conclusions in the error analysis.
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title_short	Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection
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Analytical study of falling-head test in confined aquifer with consideration of non-instantaneous injection

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