Two-body problem in general relativity - Revision history

en>JudgeDeadd: /* Orbits about the central mass */ explanation of "h"

2014-12-31T22:19:51Z

Orbits about the central mass: explanation of "h"

← Older revision		Revision as of 00:19, 1 January 2015
Line 1:		Line 1:
	~~Hi there~~, I am ~~Alyson Boon even though it is not the name on~~ my ~~birth certification. My day occupation is a travel agent. Some time ago he chose to live in North Carolina and he~~ doesn't ~~plan on altering~~ it. ~~The preferred hobby for him~~ and ~~his children~~ is to ~~play lacross and~~ he'~~ll be starting some thing else alongside with it~~.<br><br>~~Here is my web blog; [http://www~~.~~weddingwall~~.~~com~~.~~au/groups/easy-advice-for-successful-personal-development-today/ cheap psychic readings]~~ [http://1.~~234~~.~~36.240~~/~~fxac~~/~~m001_2~~/~~7330 email~~ psychic ~~readings] readings ([http://www.chk.Woobi.co.kr/xe/?document_srl=346069 click through the up coming page~~])		I would like to introduce myself to you, I am Andrew and my wife doesn't like it at all. What me and my family adore is to climb but I'm thinking on beginning something new. Office supervising is exactly where my primary earnings arrives from but I've usually wanted my own business. Alaska is where he's usually been living.<br><br>My website ... [http://www.publicpledge.com/blogs/post/7034 psychic readers]

86.185.15.115: /* Anomalous precession of Mercury */

2014-02-26T13:29:24Z

Anomalous precession of Mercury

← Older revision		Revision as of 15:29, 26 February 2014
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	'''Well drainage''' means drainage of agricultural lands by wells. Agricultural land is drained by pumped wells (vertical drainage) to improve the soils by controlling water table levels and soil salinity.		Hi there, I am Alyson Boon even though it is not the name on my birth certification. My day occupation is a travel agent. Some time ago he chose to live in North Carolina and he doesn't plan on altering it. The preferred hobby for him and his children is to play lacross and he'll be starting some thing else alongside with it.<br><br>Here is my web blog; [http://www.weddingwall.com.au/groups/easy-advice-for-successful-personal-development-today/ cheap psychic readings] [http://1.234.36.240/fxac/m001_2/7330 email psychic readings] readings ([http://www.chk.Woobi.co.kr/xe/?document_srl=346069 click through the up coming page])

	~~==Introduction==~~
	~~Subsurface ([[groundwater]]) drainage for [[water table]] and [[soil salinity]] in agricultural land can be done by horizontal and vertical drainage systems.<br>~~
	~~''Horizontal drainage'' systems are [[Drainage system (agriculture)\|drainage systems]] using open [[ditches]] ([[trenches]]) or buried pipe drains.<br>~~
	~~''Vertical drainage'' systems are drainage systems using pumped wells, either open dug [[Water well\|wells]] or tube wells.<br>~~
	~~[[File:Well arrangement.svg\|thumb\|240px\|Map of a well field for subsurface drainage with radial flow across concentrical [[Cylinder (geometry)\|cylinder]]s representing the [[equipotentials]] ]]~~
	~~Both systems serve the same ''purposes'', namely [[watertable control\|water table control]] and [[Salinity control\|soil salinity control]] . <br>~~
	~~Both systems can facilitate the ''reuse of drainage water'' (e.g. for irrigation)~~, ~~but wells offer more flexibility.<br>~~
	~~Reuse is only feasible if the quality of the groundwater~~ is ~~acceptable and~~ the ~~salinity is low.~~

	~~==Design==~~
	~~Although one well may be sufficient to solve groundwater and soil salinity problems in a few hectares, one usually needs a number of wells, because the problems may be widely spread.<br>~~
	~~The wells may be arranged in a triangular, square or rectangular pattern.<br>~~
	~~The design of the well field concerns depth, capacity, discharge, and spacing of the wells.<ref~~ name~~="Boehmer">Boehmer, W~~.K., and J.Boonstra, 1994, ''Tubewell Drainage Systems'', Chapter 22 in: H.P.Ritzema (ed.), Drainage Principles and Applications, Publ. 16, International Institute for Land Reclamation and Improvement (ILRI),Wageningen, The Netherlands. pp. 931-964, ISBN 90-70754-33-9 . On line : [http://archive.is/ITA7]</ref>
	~~#The discharge~~ is ~~found from~~ a [[Hydrology (agriculture)\|water balance]].<ref>ILRI, 1999, Drainage and Hydrology/Salinity: Water and salt balances, 29 pp. Lecture notes of the International Course on Land Drainage (ICLD), International Institute for Land Reclamation and Improvement (ILRI), Wageningen, The Netherlands. ~~On line : [http://www.waterlog.info/pdf/balances.pdf]</ref>~~
	~~#The depth is selected in accordance~~ to ~~[[aquifer]] properties. The well filter must be placed~~ in ~~a permeable soil layer.~~
	~~#The spacing can be calculated with a well spacing equation using discharge, aquifer properties, well depth~~ and ~~optimal depth of the water table.~~
	~~The determination of the optimum depth of the water table is the realm of [[drainage research]] .~~

	~~==Flow to wells==~~
	~~[[File:WellDrain.png\|thumb\|240px\|Geometry of a fully penetrating well drainage system in a uniform, isotropic aquifer]]~~
	~~[[File:WellDrain2~~.~~png\|thumb\|240px\|Geometry of a partially penetrating well drainage system in an anisotropic layered aquifer]]~~

	The ~~basic, [[steady state]], equation~~ for flow to ''fully penetrating'' wells (i.e. wells reaching the impermeable base) in a regularly spaced well field in a uniform [[Aquifer#Confined versus unconfined\|unconfined (preactic) aquifer]] with an [[hydraulic conductivity]] that is [[isotropy\|isotropic]] is~~:<ref name="Boehmer" />~~

	~~:<math>Q = 2\pi K \frac{\left(D_b - D_m\right) \left(D_w - D_m\right) }{\ln \frac{R_i}{R_w} }</math>~~

	where Q = safe well discharge - i.e. the steady state discharge at which no overdraught or groundwater depletion occurs - (m<sup>3</sup>/day), K = uniform hydraulic conductivity of the soil (m/day), D = depth below soil surface, <math>D_b</math> = depth of the bottom of the well equal to the depth of the impermeable base (m), <math>D_m</math> = depth of the watertable midway between the wells (m), <math>D_w</math> is the depth of the water level inside the well (m), <math>R_i</math> = radius of influence of the well (m) and ~~<math>R_w</math> is the radius of the well (m).~~

	~~The radius of influence of the wells depends on the pattern of the well field, which may be triangular, square, or rectangular. It can be found as:~~

	~~:<math>R_i = \sqrt{\left( \frac{A_t}{\pi N} \right)}</math>~~

	~~where <math>A_t</math> = total surface area of the well field (m<sup>2</sup>)and N = number of wells in the well field.~~

	~~The safe well discharge (Q) can also be found from:~~

	~~:<math>Q = q \frac{A_t}{N F_w}</math>~~

	~~where q is the safe yield or drainable surplus of the aquifer (m/day) and <math>F_w</math> is the operation intensity of the wells (hours/24 per day). Thus the basic equation can also be written as:~~

	~~:<math>D_w - D_m = \frac{q A_t}{2\pi K (D_b - D_m) N F_w} \ln \left( \frac{R_i}{R_w} \right)</math>~~

	~~==Well spacing==~~
	~~With a well spacing equation one can calculate various design ''alternatives'~~' ~~to arrive at the most attractive or economical solution for [[watertable control]] in agricultural land.~~

	~~The basic flow equation cannot~~ be used for determining the well spacing in a ''partially penetrating'' well-field in a non-uniform and [[Hydraulic conductivity#Anisotropy\|anisotropic]] aquifer, but one needs a [[numerical solution]] of more complicated equations.<~~ref name="Equations"~~>ILRI, 2000, ''Subsurface drainage by (tube)wells: Well spacing equations for fully and partially penetrating wells in uniform or layered aquifers with or without anisotropy and entrance resistance'', 9 pp. Principles used in the "WellDrain" model. International Institute for Land Reclamation and Improvement (ILRI), Wageningen, The Netherlands [http://www.waterlog.info/pdf/wellspac.pdf] <br />
	~~Download "WellDrain" software from :~~ [http://www.~~waterlog~~.~~info/software~~.~~htm] , or from : [http:~~//~~www.waterlog.info/weldrain.htm]</ref>~~

	~~The costs of the ''most attractive solution'' can be compared with the costs of a horizontal [[Drainage system (agriculture)\|drainage]] system~~ - for ~~which the drain spacing can be calculated with a [[drainage equation]]~~ - ~~serving the same purpose, to decide which system deserves preference.~~

	~~The well design proper is described in <ref name="Boehmer" />~~

	~~An illustration of the ''parameters'' involved is shown in the figure. The [[hydraulic conductivity]] can be found from an [[aquifer test]].~~
	~~[[File:WellHead.gif\|thumb\|240px\|Output of WellDrain program, well~~-~~spacing=920m]]~~

	~~==Software==~~
	The numerical [[computer program]] WellDrain <ref name="Equations" /> for well spacing calculations takes into account fully and partially penetrating wells, layered aquifers, [[anisotropy]] (different vertical and horizontal [[hydraulic conductivity]] or permeability) and entrance resistance.

	~~==Modelling==~~
	With a [[groundwater model]] that includes the possibility to introduce wells, one can study the impact of a well drainage system on the [[hydrology]] of the project area. There are also models that give the opportunity to evaluate the [[water quality]].

	~~[[SahysMod]] <ref>''SahysMod, Spatial Agro~~-~~Hydro~~-Salinity Model'': Description of Principles, User Manual, and Case Studies. SahysMod working group of the International Institute for Land Reclamation and Improvement, Wageningen, the Netherlands. On line: [http://waterlog.info/pdf/~~sahysmod.pdf~~] ~~. <br />~~
	~~Download the model from :~~ [http://~~waterlog~~.~~info/software~~.~~htm] , or from : [http:~~//~~waterlog.info~~/~~sahysmod.htm~~]~~</ref> is such a polygonal groundwater model permitting to assess the use of well water for [[irrigation]], the effects on [[soil salinity]] and on depth of the [[water table]].~~

	~~==See also==~~
	~~{{Agricultural water management}}~~

	~~==References==~~
	~~<references/>~~

	~~==External links==~~
	* [http://www.~~dfid~~.~~gov.uk/aboutdfid/performance/files/ev474s~~.~~pdf Salinity Control and Reclamation Program (SCARP)] using wells in the Indus valley of Pakistan~~.
	* Website on waterlogging and land reclamation by horizontal and vertical drainage systems : [http://~~www.waterlog.info]~~

	~~{{DEFAULTSORT:Well Drainage}}~~
	~~[[Category:Drainage]]~~
	~~[[Category:Hydrology]]~~
	~~[[Category:Hydrogeology]]~~
	~~[[Category:Hydraulic engineering]]~~
	~~[[Category:Land management]]~~
	~~[[Category:Land reclamation]]~~
	~~[[Category:Water and~~ the ~~environment]~~]

en>Monkbot: /* Gravitational radiation */Fix CS1 deprecated date parameter errors

2014-01-31T03:50:51Z

Gravitational radiation: Fix CS1 deprecated date parameter errors

← Older revision		Revision as of 05:50, 31 January 2014
Line 1:		Line 1:
	~~Andera~~ is ~~what you~~ can ~~call her~~ but ~~she never really favored that~~ name. ~~What me~~ and ~~my family members adore~~ is to ~~climb but I~~'m ~~considering~~ on ~~beginning something new~~. ~~She functions~~ as a ~~travel agent~~ but ~~soon she~~'ll be ~~on her own~~. ~~North Carolina~~ is the ~~place he enjoys most but now he~~ is ~~contemplating other choices~~.<br><br>~~my web blog online psychics (~~[http://~~brazil~~.~~amor-amore~~.~~com~~/~~irboothe~~ http://~~brazil~~.~~amor-amore~~.~~com~~/~~irboothe~~])		'''Well drainage''' means drainage of agricultural lands by wells. Agricultural land is drained by pumped wells (vertical drainage) to improve the soils by controlling water table levels and soil salinity.

			==Introduction==
			Subsurface ([[groundwater]]) drainage for [[water table]] and [[soil salinity]] in agricultural land can be done by horizontal and vertical drainage systems.<br>
			''Horizontal drainage'' systems are [[Drainage system (agriculture)\|drainage systems]] using open [[ditches]] ([[trenches]]) or buried pipe drains.<br>
			''Vertical drainage'' systems are drainage systems using pumped wells, either open dug [[Water well\|wells]] or tube wells.<br>
			[[File:Well arrangement.svg\|thumb\|240px\|Map of a well field for subsurface drainage with radial flow across concentrical [[Cylinder (geometry)\|cylinder]]s representing the [[equipotentials]] ]]
			Both systems serve the same ''purposes'', namely [[watertable control\|water table control]] and [[Salinity control\|soil salinity control]] . <br>
			Both systems can facilitate the ''reuse of drainage water'' (e.g. for irrigation), but wells offer more flexibility.<br>
			Reuse is only feasible if the quality of the groundwater is acceptable and the salinity is low.

			==Design==
			Although one well may be sufficient to solve groundwater and soil salinity problems in a few hectares, one usually needs a number of wells, because the problems may be widely spread.<br>
			The wells may be arranged in a triangular, square or rectangular pattern.<br>
			The design of the well field concerns depth, capacity, discharge, and spacing of the wells.<ref name="Boehmer">Boehmer, W.K., and J.Boonstra, 1994, ''Tubewell Drainage Systems'', Chapter 22 in: H.P.Ritzema (ed.), Drainage Principles and Applications, Publ. 16, International Institute for Land Reclamation and Improvement (ILRI),Wageningen, The Netherlands. pp. 931-964, ISBN 90-70754-33-9 . On line : [http://archive.is/ITA7]</ref>
			#The discharge is found from a [[Hydrology (agriculture)\|water balance]].<ref>ILRI, 1999, Drainage and Hydrology/Salinity: Water and salt balances, 29 pp. Lecture notes of the International Course on Land Drainage (ICLD), International Institute for Land Reclamation and Improvement (ILRI), Wageningen, The Netherlands. On line : [http://www.waterlog.info/pdf/balances.pdf]</ref>
			#The depth is selected in accordance to [[aquifer]] properties. The well filter must be placed in a permeable soil layer.
			#The spacing can be calculated with a well spacing equation using discharge, aquifer properties, well depth and optimal depth of the water table.
			The determination of the optimum depth of the water table is the realm of [[drainage research]] .

			==Flow to wells==
			[[File:WellDrain.png\|thumb\|240px\|Geometry of a fully penetrating well drainage system in a uniform, isotropic aquifer]]
			[[File:WellDrain2.png\|thumb\|240px\|Geometry of a partially penetrating well drainage system in an anisotropic layered aquifer]]

			The basic, [[steady state]], equation for flow to ''fully penetrating'' wells (i.e. wells reaching the impermeable base) in a regularly spaced well field in a uniform [[Aquifer#Confined versus unconfined\|unconfined (preactic) aquifer]] with an [[hydraulic conductivity]] that is [[isotropy\|isotropic]] is:<ref name="Boehmer" />

			:<math>Q = 2\pi K \frac{\left(D_b - D_m\right) \left(D_w - D_m\right) }{\ln \frac{R_i}{R_w} }</math>

			where Q = safe well discharge - i.e. the steady state discharge at which no overdraught or groundwater depletion occurs - (m<sup>3</sup>/day), K = uniform hydraulic conductivity of the soil (m/day), D = depth below soil surface, <math>D_b</math> = depth of the bottom of the well equal to the depth of the impermeable base (m), <math>D_m</math> = depth of the watertable midway between the wells (m), <math>D_w</math> is the depth of the water level inside the well (m), <math>R_i</math> = radius of influence of the well (m) and <math>R_w</math> is the radius of the well (m).

			The radius of influence of the wells depends on the pattern of the well field, which may be triangular, square, or rectangular. It can be found as:

			:<math>R_i = \sqrt{\left( \frac{A_t}{\pi N} \right)}</math>

			where <math>A_t</math> = total surface area of the well field (m<sup>2</sup>)and N = number of wells in the well field.

			The safe well discharge (Q) can also be found from:

			:<math>Q = q \frac{A_t}{N F_w}</math>

			where q is the safe yield or drainable surplus of the aquifer (m/day) and <math>F_w</math> is the operation intensity of the wells (hours/24 per day). Thus the basic equation can also be written as:

			:<math>D_w - D_m = \frac{q A_t}{2\pi K (D_b - D_m) N F_w} \ln \left( \frac{R_i}{R_w} \right)</math>

			==Well spacing==
			With a well spacing equation one can calculate various design ''alternatives'' to arrive at the most attractive or economical solution for [[watertable control]] in agricultural land.

			The basic flow equation cannot be used for determining the well spacing in a ''partially penetrating'' well-field in a non-uniform and [[Hydraulic conductivity#Anisotropy\|anisotropic]] aquifer, but one needs a [[numerical solution]] of more complicated equations.<ref name="Equations">ILRI, 2000, ''Subsurface drainage by (tube)wells: Well spacing equations for fully and partially penetrating wells in uniform or layered aquifers with or without anisotropy and entrance resistance'', 9 pp. Principles used in the "WellDrain" model. International Institute for Land Reclamation and Improvement (ILRI), Wageningen, The Netherlands [http://www.waterlog.info/pdf/wellspac.pdf] <br />
			Download "WellDrain" software from : [http://www.waterlog.info/software.htm] , or from : [http://www.waterlog.info/weldrain.htm]</ref>

			The costs of the ''most attractive solution'' can be compared with the costs of a horizontal [[Drainage system (agriculture)\|drainage]] system - for which the drain spacing can be calculated with a [[drainage equation]] - serving the same purpose, to decide which system deserves preference.

			The well design proper is described in <ref name="Boehmer" />

			An illustration of the ''parameters'' involved is shown in the figure. The [[hydraulic conductivity]] can be found from an [[aquifer test]].
			[[File:WellHead.gif\|thumb\|240px\|Output of WellDrain program, well-spacing=920m]]

			==Software==
			The numerical [[computer program]] WellDrain <ref name="Equations" /> for well spacing calculations takes into account fully and partially penetrating wells, layered aquifers, [[anisotropy]] (different vertical and horizontal [[hydraulic conductivity]] or permeability) and entrance resistance.

			==Modelling==
			With a [[groundwater model]] that includes the possibility to introduce wells, one can study the impact of a well drainage system on the [[hydrology]] of the project area. There are also models that give the opportunity to evaluate the [[water quality]].

			[[SahysMod]] <ref>''SahysMod, Spatial Agro-Hydro-Salinity Model'': Description of Principles, User Manual, and Case Studies. SahysMod working group of the International Institute for Land Reclamation and Improvement, Wageningen, the Netherlands. On line: [http://waterlog.info/pdf/sahysmod.pdf] . <br />
			Download the model from : [http://waterlog.info/software.htm] , or from : [http://waterlog.info/sahysmod.htm]</ref> is such a polygonal groundwater model permitting to assess the use of well water for [[irrigation]], the effects on [[soil salinity]] and on depth of the [[water table]].

			==See also==
			{{Agricultural water management}}

			==References==
			<references/>

			==External links==
			* [http://www.dfid.gov.uk/aboutdfid/performance/files/ev474s.pdf Salinity Control and Reclamation Program (SCARP)] using wells in the Indus valley of Pakistan.
			* Website on waterlogging and land reclamation by horizontal and vertical drainage systems : [http://www.waterlog.info]

			{{DEFAULTSORT:Well Drainage}}
			[[Category:Drainage]]
			[[Category:Hydrology]]
			[[Category:Hydrogeology]]
			[[Category:Hydraulic engineering]]
			[[Category:Land management]]
			[[Category:Land reclamation]]
			[[Category:Water and the environment]]

en>Headbomb: ce

2012-08-25T17:51:21Z

New page

Andera is what you can call her but she never really favored that name. What me and my family members adore is to climb but I'm considering on beginning something new. She functions as a travel agent but soon she'll be on her own. North Carolina is the place he enjoys most but now he is contemplating other choices.<br><br>my web blog online psychics ([http://brazil.amor-amore.com/irboothe http://brazil.amor-amore.com/irboothe])