CN102680028A - Method for calculating water discharge amount and water discharge time during dynamic water fall process in submersible partially penetrating well or well group - Google Patents

Abstract

The invention discloses a method for calculating water discharge amount and water discharge time during a dynamic water fall process in a submersible partially penetrating well or a well group. From a basic theory and a basic rule of seepage of underground water, on the basis of an everyday water discharge amount calculation formula under the condition of retaining a stable water level during the water fall process in the pressure-bearing partially penetrating well and the well group, the specific method for calculating the water discharge amount and the water discharge time in a process that the underground water level in the pressure-bearing partially penetrating well or the well group is changed from an initial water level to a target water level is implemented. By using the method, the situation that the calculation of the water discharge amount depends on experience for a long time in a water level change stage during the design of the pressure-bearing partially penetrating well or the well group at the present is changed; and the calculation and the dynamic control for the water discharge amount in the full water fall process of the pressure-bearing partially penetrating well or the well group in engineering construction are realized.

Description

The computing method of water discharge and water discharge time in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells

Technical field

The present invention relates to a kind of computing method that are applicable to engineering construction precipitation water discharge, be specifically related to the computing method of water discharge and water discharge time in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells.

Background technology

The purpose of base pit dewatering is underground water table is reduced to below a certain degree of depth requirement, can satisfy the foundation ditch structure and under the condition of anhydrous interference, execute work, thereby reduce difficulty of construction, and guarantee the safety of excavation of foundation pit and structure construction to the full extent.

At present both at home and abroad the water discharge of every day has carried out a large amount of research when maintaining a certain fixed level in the precipitation process.Theoretical side to stable in the confined aquifer, unsteady state flow through porous medium motion, has proposed the corresponding flow theory of underground water, has derived corresponding water discharge computing formula.To disturbing gang of wells base pit dewatering problem, also there is the researcher to work out relative program, foundation ditch is reached descend the water-level in real time prediction peripherally.Whether numerical computation method has also obtained using widely in engineering dewatering calculates, considering to have inside and outside various boundary, the hole on the basis of hydraulic connection etc., can study the decline process in time of artesian groundwater water level in the precipitation.Some scholars consider to be the basis with the bailing test data in the precipitation test, the perviousness of underground water under different condition in the research ground; Study the underground water table, aquifer yield, coverage of individual well well point and single well point under the different well points degree of depth, the different external interference effect and along with the change of time relation, so that well-points dewatering typical calculation formula commonly used is replenished and improves.But for engineering construction pressure-bearing partially penetrating well or decline of gang of wells precipitation process middle water level or quantity of precipitation and the required time of precipitation of the every day in stage of ging up; Also there are not relevant computing method at present both at home and abroad; How on the basis that examination is taken out, constantly to adjust in using at the scene according to field technician's experience; Final confirm concrete water discharge, all can produce certain influence aspects such as duration of engineering, costs.

On the whole, engineering construction pressure-bearing partially penetrating well or gang of wells precipitation process middle water level descend or the quantity of precipitation of ging up every day in stage more than depend on engineering technical personnel's experience, can't satisfy the requirement of engineering construction precipitation.

Therefore, the computing method of developing water discharge and water discharge time in a kind of novel pressure-bearing partially penetrating well or the dynamic precipitation process of gang of wells are for being badly in need of.

Summary of the invention

General technical problem to be solved by this invention is to overcome the present situation that the calculating that has pressure-bearing partially penetrating well or the decline of gang of wells precipitation dynamic process middle water level or the stage water discharge that gos up now depends on experience for a long time, and the computing method of the decline of a kind of pressure-bearing partially penetrating well or gang of wells precipitation dynamic process middle water level or go up stage water discharge and water discharge time are provided.

In order to realize above-mentioned technical purpose, technical scheme of the present invention is, the computing method of water discharge and water discharge time in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells for the diving partially penetrating well, are calculated water level in the precipitation well from S through following formula ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process:

$Q={\&Integral;}_{S_2}^{{\mathrm{<figure-callout\; id="1"\; label="S"\; filenames="HDA00001652760100011.png,HDA00001652760100012.png"\; state="\{\{state\}\}">S</figure-callout>}}_1}\mathrm{\&pi;KS}[\frac{l+S}{\ln \frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\ln \frac{4H}{r_w}-2.3A)-\ln \frac{4H}{R}}]\mathrm{dS}$

Wherein K is an AQUIFER HYDRAULIC, and H is a table water aquifer thickness, and S is that design water level is fallen deeply, and l is a filtrator water inlet portion length, and R is the precipitation radius of influence, r _wBe precipitation well radius, A is a coefficient, can obtain by pertinent literature, and Wu Lin is high writes People's Transportation Press like " engineering dewatering design and construction with foundation ditch seepage theory ";

For diving partially penetrating well crowd, calculate water level in the precipitation well from S through following formula ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process:

$Q={\&Integral;}_{S_2}^{{\mathrm{<figure-callout\; id="1"\; label="S"\; filenames="HDA00001652760100011.png,HDA00001652760100012.png"\; state="\{\{state\}\}">S</figure-callout>}}_1}\frac{1.366K(1H-S)S)}{\lg [(R+r_0)/r_0]+(H-S-L)/L\&times;\lg (1+0.2(H-S)/r_0)}\mathrm{dS}$

Wherein K is an AQUIFER HYDRAULIC, and H is a table water aquifer thickness, and S is that design water level is fallen deeply, and R is the precipitation radius of influence, r ₀Be foundation ditch conversion radius, L is a foundation ditch length.

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells, described AQUIFER HYDRAULIC K, if the water-bearing zone is multilayer and vicinity, the desirable weighted mean value of K then, computing method are K=∑ (K _ih _i)/∑ h _i, K wherein _iBe the infiltration coefficient in each water-bearing zone, h _iThickness for each water-bearing zone.

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells, the computing method of described table water aquifer thickness H are: H=∑ h _i, h wherein _iThickness for each water-bearing zone.

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells; It is characterized in that; Described precipitation radius of influence R can be drawn water to test and obtained by steady flow; Do not draw water when experiment when there being condition to carry out steady flow, also by formula

calculates.

The computing method of water discharge and water discharge time is characterized in that described foundation ditch conversion radius r in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells ₀Computing method be: when foundation ditch is carried out precipitation, if the also design of the position of peripheral precipitation well then calculates by the foundation ditch area,

Wherein F is the foundation ditch area; If foundation ditch periphery precipitation well is arranged, then preferentially calculate by the position of well,

Wherein n is a well point quantity.

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells, according to the water level in the precipitation well of being tried to achieve from S ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process; Total displacement Q is dispensed to the every day of carrying out in decline of water table or the rise stages period, and the method that the water discharge of pressure-bearing partially penetrating well or gang of wells every day superposes when keeping fixed level is then calculated the water discharge Q of every day in the precipitation dynamic process _M1, the Q that asks _M1Computing formula be:

${\mathrm{<figure-callout\; id="1"\; label="Q\; m"\; filenames="HDA00001652760100011.png,HDA00001652760100012.png"\; state="\{\{state\}\}">Q</figure-callout>}}_m=Q_{S2}+\frac{Q}{m}$

Wherein Q is that the interior water level of well is by S ₁Descend or go up to S ₂The total displacement of required increase, m are total fate of decline of water table or rise stages period,

For keeping the stable dark S that falls ₂The time every day needed water discharge, when being individual well: $Q_{S_2}=\mathrm{\&pi;\; KS}[\frac{l+S}{\mathrm{Ln}\frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\mathrm{Ln}\frac{4H}{r_w}-2.3A)-\mathrm{Ln}\frac{4H}{R}}];$

When being gang of wells: $Q_{S_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_0)/r_0]+(H-S-L)/L\&times;\mathrm{Lg}(1+0.2(H-S)/r_0)}.$

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells, according to the water level in the precipitation well of being tried to achieve from S ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process is at the drainability Q of pressure-bearing partially penetrating well or gang of wells _nUnder the situation about confirming, through calculating drainability Q _nWater discharge when keeping fixed level with every day

Difference and confirm to reduce to total fate m in needed cycle of target water level with the method for the ratio of total displacement Q, the computing formula of the m that asks is:

$m=\frac{Q}{Q_n-Q_{S_2}}$

Q wherein _nBe the precipitation well drainability of every day, Q is that the interior water level of well is by S ₁Descend or go up to S ₂The total displacement of required increase,

For keeping the stable dark S that falls ₂The time every day needed water discharge, when being individual well:

$Q_{S_2}=\mathrm{\&pi;KS}[\frac{l+S}{\ln \frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\ln \frac{4H}{r_w}-2.3A)-\ln \frac{4H}{R}}];$

When being gang of wells: $Q_{S_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_0)/r_0]+(H-S-L)/L\&times;\mathrm{Lg}(1+0.2(H-S)/r_0)}.$

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells, for two in A precipitation zone in the engineering construction and B precipitation zone independently the regional water level of precipitation from S ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process _AAnd Q _BCalculate through following formula respectively:

$Q_A={\&Integral;}_{S_1}^{S_2}{Q}_A\left(S\right)\&CenterDot;\mathrm{dS}$

$Q_B={\&Integral;}_{S_1}^{S_2}{Q}_B\left(S\right)\&CenterDot;\mathrm{dS}$

Then at A precipitation zone maintenance fixed level S ₂Condition under, the decline of water table in B precipitation zone or go up to S ₂The water discharge Q of required increase _B-ACan be expressed as:

Q _B-A=Q _B-Q _A。

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells, according to tried to achieve at A precipitation zone maintenance fixed level S ₂Condition under, the decline of water table in B precipitation zone or go up to S ₂The water discharge Q of required increase _B-A, with water discharge Q _B-ABe dispensed to and carry out the regional decline of water table of B precipitation or the every day in the rise stages period, must keep fixed level S in the a-quadrant thus ₂Condition under, the B zone is at m _BReduce to S in it ₂The water discharge Q of every day during water level _BmFor:

$Q_{\mathrm{Bm}}=Q_{{\mathrm{BS}}_2}+\frac{Q_{B-A}}{m}$

Wherein

For area B is kept the stable dark S that falls ₂The time every day needed water discharge, $Q_{{\mathrm{BS}}_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_{B0})/r_{B0}]+(H-S-L_B)/L_B\&times;\mathrm{Lg}(1+0.2(H-S)/r_{B0})},$ R in the formula _B0Be the conversion radius of area B foundation ditch, L _BBe the length of the foundation ditch of area B, all the other symbolic significances are the same.

The computing method of water discharge and water discharge time in described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells; It is characterized in that; The unit of AQUIFER HYDRAULIC K is rice every day, and the unit of confined aquifer thickness H is a rice, and the unit that dark S falls in design water level is rice; The unit of precipitation radius of influence R is a rice, precipitation well radius r _wUnit be rice, the unit of filtrator water inlet portion length l be meter foundation ditch conversion radius r ₀Unit be rice, the unit of foundation ditch length L be meter the coefficient of permeability K in each water-bearing zone _iUnit be rice an every day, the thickness h in each water-bearing zone _iUnit be rice, the unit of foundation ditch area F be square metre that the interior water level of well is by S ₁Descend or go up to S ₂The unit of the total displacement Q of required increase is a cubic meter, keeps the stable dark S that falls ₂The time every day needed water discharge

Unit be cubic meter, the drainability Q of precipitation well every day _nUnit be cubic meter, keep the stable dark S that falls ₂The time every day needed water discharge Unit be the cubic meter, the water discharge Q of every day in the precipitation dynamic process _M1Unit be cubic meter, A precipitation zone water discharge Q _AUnit be cubic meter, B precipitation zone water discharge Q _BUnit be cubic meter, the decline of water table in B precipitation zone or go up to S ₂The water discharge Q of required increase _B-AUnit be cubic meter, the water discharge Q of B zone every day _BmUnit be cubic meter, area B is kept the stable dark S that falls ₂The time every day needed water discharge Unit be cubic meter, area B is kept the stable dark S that falls ₂The time every day needed water discharge

Unit be the cubic meter, the conversion radius r of area B foundation ditch _B0Unit be rice, the length L of the foundation ditch of area B _Br _B0Unit be rice.

Technique effect of the present invention is; Traditional foundation ditch diving partially penetrating well or gang of wells precipitation computing method can only obtain maintaining a certain fixed level needed water discharge every day, and to the water discharge of every day in decline of water table and the rise change procedure and reduce to the needed time of target water level and lack and study.The present invention can calculate the water discharge that increases in the stability maintenance water yield and the precipitation process of each water level in diving partially penetrating well or the gang of wells precipitation process in good time; Grasp the multidate information of precipitation in view of the above; And the well number through confirming participation work and the layout of precipitation well confirm to reduce to the needed time of target water level, and then reach diving partially penetrating well or gang of wells precipitation overall process are dynamically controlled.

Below in conjunction with accompanying drawing the present invention is described further.

Description of drawings

Fig. 1 is an individual well precipitation funnel curve synoptic diagram of the present invention

Fig. 2 is a planar range precipitation area extension synoptic diagram of the present invention

Among the figure: 1---pumped well; 2---initial water level oozes and falls the funnel curve; 3---target water level is oozed and is fallen the funnel curve; 4---foundation ditch; 5---water-resisting layer; 6---the precipitation zone; 7---S ₂The depths radius of influence falls; 8---S ₁The depths radius of influence falls; 9---dark S falls ₁10---dark S falls ₂11---water table aquifer thickness; 12---infinitesimal dS; A---precipitation zone A; B---the precipitation area B after the expansion.

Embodiment

(1) computing method of water discharge and water discharge time in the individual well decline of water table process

At first get individual well analysis; Fig. 1 is an individual well precipitation funnel curve synoptic diagram of the present invention, and is as shown in Figure 1, and the periphery at well behind the precipitation forms precipitation funnel curve; Owing to constantly have the recharge of ground water to arrive in this precipitation zone around the precipitation well, for guaranteeing that water level maintains a certain fixed level S in the well ₁, need keep stable water discharge Q (S every day ₁), the precipitation funnel curve of this moment is X ₁, when further need the water level in the well being reduced to S ₂The time, then form precipitation funnel curve X ₂, need this moment at original stable water discharge Q (S every day ₁) the basis on add the water discharge in the well, also promptly increase precipitation funnel curve X ₁And X ₂Between water discharge.

As shown in Figure 1, get and smallly fall dark dS and analyze, when precipitation depth dS is tending towards infinitely small, can think precipitation funnel X ₁On the vertical hopper direction of a curve, evenly enlarged dS, then precipitation funnel curve X ₁And X ₂But between the water discharge approximate representation be:

dQ(S)=Q(S ₁)·dS （a）

Thus, the water level in the precipitation well is from S ₁Reduce to S ₂The water discharge of required increase then can be expressed as:

$Q={\&Integral;}_{S_1}^{S_2}Q\left(S\right)\&CenterDot;\mathrm{dS}---\left(b\right)$

In the formula: Q (S) is interior for keeping a certain fixed level needed water discharge every day for the precipitation well, and it is the function of precipitation depth S in the well, changes along with the variation of precipitation depth.Existing a large amount of document is studied this both at home and abroad at present, and the expression formula that diving partially penetrating well water discharge calculates can directly be used.

For the diving partially penetrating well, the water level in the precipitation well is from S ₁Reduce to S ₂The water discharge expression formula of required increase is:

$Q={\&Integral;}_{S_2}^{{\mathrm{<figure-callout\; id="1"\; label="S"\; filenames="HDA00001652760100011.png,HDA00001652760100012.png"\; state="\{\{state\}\}">S</figure-callout>}}_1}\mathrm{\&pi;KS}[\frac{l+S}{\ln \frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\ln \frac{4H}{r_w}-2.3A)-\ln \frac{4H}{R}}]\mathrm{dS}---\left(c\right)$

Wherein K is an AQUIFER HYDRAULIC, and unit is a rice every day, if the water-bearing zone is multilayer and vicinity, and the desirable weighted mean value of K then, computing method are K=∑ (K _ih _i)/∑ h _i, K wherein _iBe the infiltration coefficient in each water-bearing zone, unit is rice every day, h _iBe the thickness in each water-bearing zone, unit is a rice, and H is a table water aquifer thickness, and unit is a rice, and computing method are: H=∑ h _i, h wherein _iBe the thickness in each water-bearing zone, unit is a rice, and S is that design water level is fallen deeply, and unit is a rice; L is a filtrator water inlet portion length, and unit is a rice, and R is the precipitation radius of influence, and unit is a rice; Can obtain by the steady flow experiment of drawing water, the steady flow experiment of drawing water is to use steady flow theoretical analysis bailing test data, draws the dark curve of Denging of flow-fall at any time; And obtain the radius of influence in water-bearing zone in view of the above, must reach flow in the test and drawdown is relatively stable, and need confirm continuity certain long-time according to the water-bearing zone lithology; Just can stop, not drawing water when experiment when there being condition to carry out steady flow, also can be by formula

Calculate r _wBe precipitation well radius, A is a coefficient, can obtain by pertinent literature, and Wu Lin is high writes People's Transportation Press like " engineering dewatering design and construction with foundation ditch seepage theory ".

When calculating, can directly carry out integration and find the solution,, can adopt numerical integral method to calculate if direct integral calculates when being difficult to find the solution with following formula.

Calculate to be that more than the water discharge of fixed level is basis in the well to keep every day, calculate should be precipitation well interior water level in one day from S ₁Reduce to S ₂Needed water discharge; For actual engineering; Can not just can water level be reduced to desired value within one day, generally need in a period of time, accomplish, just need keep on the basis of quantity of precipitation of fixed level in every day this moment; The water discharge that increases is dispensed to every day, supposes that in m days water level is by S in the well ₁Reduce to S ₂, then the water discharge of every day can be used computes in the decline of water table process.

$Q_{m1}=Q_{S2}+\frac{Q}{m}---\left(d\right)$

In the formula: Q _M1Be the water discharge of every day in decline of water table stage, unit is a cubic meter,

For keeping the stable dark S that falls ₂The time every day needed water discharge, unit be the cubic meter, when being individual well:

$Q_{S_2}=\mathrm{\&pi;KS}[\frac{l+S}{\ln \frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\ln \frac{4H}{r_w}-2.3A)-\ln \frac{4H}{R}}];$

When being gang of wells: $Q_{S_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_0)/r_0]+(H-S-L)/L\&times;\mathrm{Lg}(1+0.2(H-S)/r_0)}.$ Q is that the interior water level of well is by S ₁Reduce to S ₂The total displacement of required increase, unit are cubic meter, and m is the precipitation fate.

Under the condition that the drainability of precipitation well is confirmed, groundwater table decreasing or go up to the required time of desired value and can calculate then with following formula.

$m=\frac{Q}{Q_n-Q_{S_2}}---\left(e\right)$

In the formula: Q _nBe the precipitation well drainability of every day, unit is a cubic meter,

For keeping the stable dark S that falls ₂The time every day needed water discharge, unit be the cubic meter, when being individual well:

$Q_{S_2}=\mathrm{\&pi;KS}[\frac{l+S}{\ln \frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\ln \frac{4H}{r_w}-2.3A)-\ln \frac{4H}{R}}];$

When being gang of wells: $Q_{S_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_0)/r_0]+(H-S-L)/L\&times;\mathrm{Lg}(1+0.2(H-S)/r_0)}.$ Q is that the interior water level of well is by S ₁Descend or go up to S ₂The total displacement of required increase, unit are cubic meter, and m is the precipitation fate.

(2) computing method of water discharge and water discharge time in the outer gang of wells decline of water table process in hole

For the water discharge of subway station foundation ditch gang of wells in the decline of water table process, can calculate by the identical method of individual well water discharge, it is following that the quantity of precipitation of partially penetrating well gang of wells in the decline of water table process of diving under water is thus expressed formula.

Water level in the diving partially penetrating well is from S ₁Reduce to S ₂The water discharge expression formula of required increase is:

$Q={\&Integral;}_{s_2}^{{\mathrm{<figure-callout\; id="1"\; label="s"\; filenames="HDA00001652760100011.png,HDA00001652760100012.png"\; state="\{\{state\}\}">s</figure-callout>}}_1}=\frac{1.366K(2H-S)S)}{\lg [(R+r_0)/r_0]+(H-S-L)/L\&times;\lg (1+0.2(H-S)/r_0)}\mathrm{dS}$ （f）

Wherein K is an AQUIFER HYDRAULIC, and unit is rice every day, and H is a table water aquifer thickness, and unit is rice every day, and S is that design water level is fallen deeply, and unit is rice every day, and R is the precipitation radius of influence, and unit is rice every day, r ₀Be foundation ditch conversion radius, unit is a rice, and computing method are: when foundation ditch is carried out precipitation,, then calculate by the foundation ditch area if the position of peripheral precipitation well is not also designed, Wherein F is the foundation ditch area, and unit is square metre; If foundation ditch periphery precipitation well is arranged, then preferentially calculate by the position of well,

Wherein n is a well point quantity.L is a foundation ditch length, and unit is a rice.

In like manner, more than calculate also be water level in the precipitation foundation ditch in one day from S ₁Reduce to S ₂Needed water discharge for actual engineering, need be reduced to desired value with water level equally in a period of time, then in m days the water level in the foundation ditch by S ₁Reduce to S ₂The time, the same available formula of the water discharge of every day (d) is calculated in the decline of water table process.

In actual engineering; If confirmed precipitation time; Then can confirm the quantity and concrete arrangement requirement of precipitation well according to the water discharge of the every day that calculates; If confirmed the quantity and the arrangement of precipitation well, then can calculate according to (e) formula underground water table is reduced to the needed time of desired value according to the water discharge that calculates, carry out the design of engineering construction tissue in view of the above.

(3) computing method of water discharge and water discharge time in the outer gang of wells rising of groundwater level process in hole

The rise of underground water table is the inverse process of precipitation, and precipitation funnel water yield alimentation facies outward is same, and thus, water level is by S ₂Go back up to S ₁The water discharge of required minimizing then can be expressed as:

$Q_j={\&Integral;}_{S_2}^{S_1}Q\left(S\right)\&CenterDot;\mathrm{dS}---\left(g\right)$

In the formula: Q (S) meaning is the same, for keeping a certain fixed level needed water discharge every day.

In like manner, more than calculating also is that the water discharge of fixed level is basis in the well to keep every day, calculate be the interior water level of precipitation well in one day by S ₂Go back up to S ₁The water discharge of required minimizing; For actual engineering, also can not one day within the rising of groundwater level desired value, just need keep on the basis of quantity of precipitation of fixed level in every day this moment; The water discharge that reduces is dispensed to every day, supposes that in m days water level is by S in the well ₂Go back up to S ₁, then the water discharge of every day can be used computes in the rising of groundwater level process.

$Q_{m2}={\mathrm{<figure-callout\; id="1"\; label="Q\; S"\; filenames="HDA00001652760100011.png,HDA00001652760100012.png"\; state="\{\{state\}\}">Q</figure-callout>}}_S+\frac{Q_j}{m}---\left(h\right)$

In the formula: Q _M2Be the water discharge of every day in rising of groundwater level stage, unit is a cubic meter,

For keeping the stable dark S that falls ₁The time every day needed water discharge, unit be the cubic meter, Q _jFor water level in the well by S ₂Go up to S ₁The total displacement of required minimizing, unit are cubic meter, and m is the precipitation fate.

Under the situation about confirming in precipitation well arrangement pitch and position, the drainability of precipitation well confirms also just to have confirmed that corresponding precipitation time calculates according to (e) formula equally.

(4) computing method of water discharge and water discharge time during plane precipitation regional change

Excavate in engineering construction that branch's piecemeal normally carries out, so proposition needs the subregion to carry out precipitation in the engineering construction.Fig. 2 enlarges synoptic diagram for plane of the present invention precipitation zone, and is as shown in Figure 2, at first carries out the a-quadrant construction, in this zone with underground water table by S ₁Reduce to a certain target water level S ₂, after the a-quadrant construction was accomplished, and then construction area was extended to B, and this zone water level is also by S ₁Reduce to same target water level S ₂, then keep fixed level S in the a-quadrant ₂Condition under, B reduces to S in the zone ₂The water discharge of required increase can calculate by following method.

When A precipitation zone and B precipitation zone are that it was by water level S when two independently precipitation was regional ₁Reduce to a certain target water level S ₂The water discharge Q of Shi Zengjia _AAnd Q _BBe respectively:

$Q_A={\&Integral;}_{S_1}^{S_2}{Q}_A\left(S\right)\&CenterDot;\mathrm{dS}---\left(i\right)$

$Q_B={\&Integral;}_{S_1}^{S_2}{Q}_B\left(S\right)\&CenterDot;\mathrm{dS}---\left(j\right)$

Then keep fixed level S in the a-quadrant ₂Condition under, B reduces to S in the zone ₂The water discharge Q of required increase _B-ACan be expressed as:

Q _B-A=Q _B-Q _A （k）

More than calculate also be water level in the area B in one day by S ₁Drop to S ₂The water discharge of required increase also need distribute the water discharge that increases in the time period of precipitation, must keep fixed level S in the a-quadrant thus ₂Condition under, the B zone is at m _BReduce to S in it ₂The water discharge of every day is during water level:

$Q_{\mathrm{Bm}}=Q_{{\mathrm{BS}}_2}+\frac{Q_{B-A}}{m_B}---\left(m\right)$

In the formula: Q _BmBe the area B decline of water table water discharge of every day in stage, unit is a cubic meter,

For area B is kept the stable dark S that falls ₂The time every day needed water discharge, unit be the cubic meter, $Q_{{\mathrm{BS}}_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_{B0})/r_{B0}]+(H-S-L_B)/L_B\&times;\mathrm{Lg}(1+0.2(H-S)/r_{B0})},$ Q _B-AFor keeping fixed level S in the a-quadrant ₂Condition under, B reduces to S in the zone ₂The water discharge of required increase, unit are cubic meter, m _BFor reducing to target water level S in the B zone ₂The time the precipitation fate.

Under the situation about confirming in precipitation well arrangement pitch and position, the drainability of precipitation well has just confirmed that also corresponding precipitation time calculates according to (e) formula equally.

Claims (10)

1. the computing method of water discharge and water discharge time in dive under water partially penetrating well or the dynamic precipitation process of gang of wells is characterized in that, for the diving partially penetrating well, calculate water level in the precipitation well from S through following formula ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process:

$Q={\&Integral;}_{S_2}^{S_1}\mathrm{\&pi;KS}[\frac{l+S}{\ln \frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\ln \frac{4H}{r_w}-2.3A)-\ln \frac{4H}{R}}]\mathrm{dS}$

Wherein K is an AQUIFER HYDRAULIC, and H is a table water aquifer thickness, and S is that design water level is fallen deeply, and l is a filtrator water inlet portion length, and R is the precipitation radius of influence, r _wBe precipitation well radius, A is a coefficient;

For diving partially penetrating well crowd, calculate water level in the precipitation well from S through following formula ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process:

$Q={\&Integral;}_{S_2}^{S_1}\frac{1.366K(1H-S)S)}{\lg [(R+r_0)/r_0]+(H-S-L)/L\&times;\lg (1+0.2(H-S)/r_0)}\mathrm{dS}$

Wherein K is an AQUIFER HYDRAULIC, and H is a table water aquifer thickness, and S is that design water level is fallen deeply, and R is the precipitation radius of influence, r ₀Be foundation ditch conversion radius, L is a foundation ditch length.

2. the computing method of water discharge and water discharge time in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 1; It is characterized in that described AQUIFER HYDRAULIC K is if the water-bearing zone is multilayer and vicinity; The desirable weighted mean value of K then, computing method are K=∑ (K _ih _i)/∑ h _i, K wherein _iBe the infiltration coefficient in each water-bearing zone, h _iThickness for each water-bearing zone.

3. the computing method of water discharge and water discharge time is characterized in that the computing method of described table water aquifer thickness H are: H=∑ h in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 1 _i, h wherein _iThickness for each water-bearing zone.

4. the computing method of water discharge and water discharge time in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 1; It is characterized in that; Described precipitation radius of influence R can be drawn water to test and obtained by steady flow; Do not draw water when experiment when there being condition to carry out steady flow, also by formula

calculates.

5. the computing method of water discharge and water discharge time is characterized in that described foundation ditch conversion radius r in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 1 ₀Computing method be: when foundation ditch is carried out precipitation, if the also design of the position of peripheral precipitation well then calculates by the foundation ditch area,

Wherein F is the foundation ditch area; If foundation ditch periphery precipitation well is arranged, then preferentially calculate by the position of well,

Wherein n is a well point quantity.

6. the computing method of water discharge and water discharge time is characterized in that in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 1, according to the water level in the precipitation well of being tried to achieve from S ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process; Total displacement Q is dispensed to the every day of carrying out in decline of water table or the rise stages period, and the method that superposes with the water discharge of the time diving partially penetrating well of keeping fixed level or gang of wells every day is then calculated the water discharge Q of every day in the precipitation dynamic process _M1, the Q that asks _M1Computing formula be:

$Q_{m1}=Q_{S2}+\frac{Q}{m}$

Wherein Q is that the interior water level of well is by S ₁Descend or go up to S ₂The total displacement of required increase, m are total fate in the decline of water table or the stage of ging up,

For keeping the stable dark S that falls ₂The time every day needed water discharge, when being individual well: $Q_{S_2}=\mathrm{\&pi;\; KS}[\frac{l+S}{\mathrm{Ln}\frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\mathrm{Ln}\frac{4H}{r_w}-2.3A)-\mathrm{Ln}\frac{4H}{R}}];$

When being gang of wells: $Q_{S_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_0)/r_0]+(H-S-L)/L\&times;\mathrm{Lg}(1+0.2(H-S)/r_0)}.$

7. the computing method of water discharge and water discharge time is characterized in that in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 1, according to the water level in the precipitation well of being tried to achieve from S ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process is at the drainability Q of diving partially penetrating well or gang of wells _nUnder the situation about confirming, through calculating drainability Q _nWater discharge when keeping fixed level with every day

Difference and confirm to reduce to total fate m in needed cycle of target water level with the method for the ratio of total displacement Q, the computing formula of the m that asks is:

$m=\frac{Q}{Q_n-Q_{S_2}}$

Q wherein _nBe the precipitation well drainability of every day, Q is that the interior water level of well is by S ₁Descend or go up to S ₂The total displacement of required increase, For keeping the stable dark S that falls ₂The time every day needed water discharge, when being individual well:

$Q_{S_2}=\mathrm{\&pi;KS}[\frac{l+S}{\ln \frac{R}{r_w}}+\frac{2H}{\frac{H}{2l}(2\ln \frac{4H}{r_w}-2.3A)-\ln \frac{4H}{R}}];$

When being gang of wells: $Q_{S_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_0)/r_0]+(H-S-L)/L\&times;\mathrm{Lg}(1+0.2(H-S)/r_0)}.$

8. the computing method of water discharge and water discharge time is characterized in that in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 1, for two in A precipitation zone in the engineering construction and B precipitation zone independently the regional water level of precipitation from S ₁Descend or go up to S ₂The total displacement Q of required increase or minimizing in the process _AAnd Q _BCalculate through following formula respectively:

$Q_A={\&Integral;}_{S_1}^{S_2}{Q}_A\left(S\right)\&CenterDot;\mathrm{dS}$

$Q_B={\&Integral;}_{S_1}^{S_2}{Q}_B\left(S\right)\&CenterDot;\mathrm{dS}$

Then at A precipitation zone maintenance fixed level S ₂Condition under, the decline of water table in B precipitation zone or go up to S ₂The water discharge Q of required increase or minimizing _B-ACan be expressed as:

Q _B-A=Q _B-Q _A。

9. the computing method of water discharge and water discharge time is characterized in that in a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells according to claim 8, according to tried to achieve at A precipitation zone maintenance fixed level S ₂Condition under, the decline of water table in B precipitation zone or go up to S ₂The water discharge Q of required increase _B-A, with water discharge Q _B-ABe dispensed to and carry out the regional decline of water table of B precipitation or the every day in the rise stages period, must keep fixed level S in the a-quadrant thus ₂Condition under, the B zone is at m _BReduce to S in it ₂The water discharge Q of every day during water level _BmFor:

$Q_{\mathrm{Bm}}=Q_{{\mathrm{BS}}_2}+\frac{Q_{B-A}}{m_B}$

Wherein For area B is kept the stable dark S that falls ₂The time every day needed water discharge, $Q_{{\mathrm{BS}}_2}=\frac{1.366K(2H-S)S)}{\mathrm{Lg}[(R+r_{B0})/r_{B0}]+(H-S-L_B)/L_B\&times;\mathrm{Lg}(1+0.2(H-S)/r_{B0})},$ R in the formula _B0Be the conversion radius of area B foundation ditch, L _BLength for the foundation ditch of area B.

10. according to the computing method of water discharge and water discharge time in claim 1-9 arbitrary described a kind of dive under water partially penetrating well or the dynamic precipitation process of gang of wells; It is characterized in that; The unit of AQUIFER HYDRAULIC K is rice every day, and the unit of confined aquifer thickness H is a rice, and the unit that dark S falls in design water level is rice; The unit of precipitation radius of influence R is a rice, precipitation well radius r _wUnit be rice, the unit of filtrator water inlet portion length l be meter foundation ditch conversion radius r ₀Unit be rice, the unit of foundation ditch length L be meter the coefficient of permeability K in each water-bearing zone _iUnit be rice an every day, the thickness h in each water-bearing zone _iUnit be rice, the unit of foundation ditch area F be square metre that the interior water level of well is by S ₁Descend or go up to S ₂The unit of the total displacement Q of required increase is a cubic meter, keeps the stable dark S that falls ₂The time every day needed water discharge Unit be cubic meter, the drainability Q of precipitation well every day _nUnit be cubic meter, keep the stable dark S that falls ₂The time every day needed water discharge

Unit be the cubic meter, the water discharge Q of every day in the precipitation dynamic process _M1Unit be cubic meter, A precipitation zone water discharge Q _AUnit be cubic meter, B precipitation zone water discharge Q _BUnit be cubic meter, the decline of water table in B precipitation zone or go up to S ₂The water discharge Q of required increase _B-AUnit be cubic meter, the water discharge Q of B zone every day _BmUnit be cubic meter, area B is kept the stable dark S that falls ₂The time every day needed water discharge

Unit be the cubic meter, the conversion radius r of area B foundation ditch _B0Unit be rice, the length L of the foundation ditch of area B _BUnit be rice.

Images